The correct option would be "There is a 4.2% chance that we made a type I error".Therefore, option (a) is the correct answer.
The t-value that you obtained (two-tailed probability) was p = .042.
Which of these would be true based on that result is "There is a 4.2% chance that we made a type I error".
What is a Type I error?
In statistics, a type I error occurs when the null hypothesis is true but is rejected.
Type I error is also known as a false positive. It's the likelihood of rejecting the null hypothesis when it's true.
What is a Type II error?
A type II error occurs when the null hypothesis is false but is not rejected.
A type II error is also known as a false negative.
What is the difference between Type I and Type II errors?
The key distinction between type I and type II errors is that type I errors occur when researchers wrongly reject the null hypothesis, whereas type II errors occur when researchers fail to reject the null hypothesis when it should be rejected.
The t-value obtained (two-tailed probability) was p = .042. This indicates that there is a 4.2% chance of making a type I error when rejecting the null hypothesis.
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Given that the t-value that I obtained (two-tailed probability) was p = .04. The correct option is (a) There is a 4.2% chance that we made a type I error.
The t-value obtained is p = .042 and the t-value indicates a two-tailed probability.
The p-value indicates the probability of obtaining a test statistic at least as extreme as the one observed, assuming the null hypothesis is true.
In hypothesis testing, a Type I error is the incorrect rejection of a true null hypothesis.
Type II error occurs when we accept a false null hypothesis. It means that a type II error occurs when the null hypothesis is not rejected even though it is false.
The level of significance α (alpha) is the probability of making a Type I error and is commonly set to 0.05 or 5% in hypothesis testing.
So, there is a 4.2% chance that we made a Type I error because the significance level is less than 0.05 or 5%.
Hence, option (a) is the correct answer.
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(-3)=−22−3+11
EVALUATE
Answer:
− 3 = − 14
Step-by-step explanation:
Hope this helps !
A family drinks 2 gallons of milk in 3 days,
At that rate, how many gallons will the family
drink in 15 days?
Answer: This is what I have tried --
5 gallons : 3 weeks = x gallons : 52 weeks
5/3 = x/52 (cross multiply)
3x = 260 (divide by 3)
x = 86.6 or 87 gallons
Step-by-step explanation: hope this is right
Answer:
10 gallons of milk
Step-by-step explanation:
This question is a ration every three days the family drinks 2 gallons of milk (3:2) to find how much they would drink in 15 days all you would have to do is multiple both numbers by 5 to get 15:10. This represents how much milk they drink in 15 days.
sorry this is probably easy but i need help
Answer:
Step-by-step explanation:
there is 1,000 total students... so divide 360 / 1000
so you have 0.36 for each student... then multiply by the freshmen,
.36 * 300 = 108 :)
variables describe the characteristics or attributes of the participants and cannot be manipulated is called ___
The term that describes variables that represent the characteristics or attributes of participants and cannot be manipulated is called "non-manipulated variables" or "non-experimental variables".
These variables are typically measured or observed as they naturally exist and are not intentionally changed or controlled by the researcher. Non-manipulated variables are often used in observational studies or correlational research designs where the focus is on examining relationships or associations between variables rather than establishing cause-and-effect relationships through experimental manipulation.
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Find m QRS? who can help me?
Answer:
m<PRS+m<PRQ=m<QRS.
17 + 17 = 34
m<QRS=34
Answer:
34 degrees
Step-by-step explanation:
anglePRS is 17 degrees
angle QRT is also 17 degrees
angle qrt +prs =34 degrees
What is the length of side AB
Answer:
if two Angles have equal measure then the slide opposite to them equal in the length is 6 units
After a 6-mg injection of dye into a heart, the readings of dye concentration at two-second intervals are as shown in the table. Use Simpson's Rule to estimate the cardiac output.
t c(t) t c(t)
0 0 14 4.7
2 1.9 16 3.3
4 3.3 18 2.1
6 5.1 20 1.1
8 7.6 22 0.5
10 7.1 24 0
12 5.8
Using Simpson's Rule, the cardiac output can be estimated by approximating the area under the curve formed by the dye concentration readings at two-second intervals.
Simpson's Rule is a numerical method used to approximate definite integrals by dividing the interval into subinterval and applying a weighted average of function values. In this case, we have the time (t) and dye concentration (c(t)) readings at two-second intervals.
To estimate the cardiac output, we need to find the integral of the concentration function over the given time interval. Simpson's Rule can be applied by dividing the interval into subintervals (in this case, 0-12 seconds) and using the given function values to calculate the approximate integral.
By applying Simpson's Rule to the given data, the cardiac output can be estimated by calculating the weighted average of the function values and multiplying it by the width of the subintervals.
Please note that since the table is incomplete, providing the exact calculation and result of the cardiac output is not possible without additional data.
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On her coffee table, Anita has a pile of 9 magazines. She plans to get through 2 of them over
the weekend. How many sequences of 2 magazines are possible?
sequences
Answer:
either of the 2 is read so the answer is 2/9
Don’t put no links just put a answer now can someone help me
Jaxon must sell at least 49 rolls of wrapping paper to support the robotics club fundraiser. He has already sold 24 rolls of wrapping paper. Which inequality best represents the number of rolls of wrapping paper Jaxon still needs to sell?
A. x + 24 > 49
B. x + 24 ≤ 49
C. x + 24 < 49
D. x + 24 ≥ 49
Answer:
D. x + 24 ≥ 49
Step-by-step explanation:
He has already sold 24 rolls, and will sell more x.
So, the total number of rolls that he will sell is:
[tex]T = 24 + x[/tex]
Jaxon must sell at least 49 rolls of wrapping paper to support the robotics club fundraiser.
This means that:
[tex]T \geq 49[/tex]
[tex]24 + x \geq 49[/tex]
The correct answer is given by option D.
What is the mode of the data set? {32, 29, 35, 25, 32, 22, 30} Enter your answer in the box.
Answer:
beleive its 35
Step-by-step explanation:
Answer:
The mode hear is 32
Step-by-step explanation:
The mode is the number seen the most in a selected group.
Here is a Mnemonic to help remember what the 3 M's are:
'Hey diddle, diddle
the medians in the middle
add and divide for the mean
the mode is the one that you see the most
and the range is the difference between'
Write a statement that correctly describes the relationship between these two sequences: 2, 4, 6, 8, 10 and 1, 2, 3, 4, 5.
(giving brainlest)
Answer:
first multiples of 2 and second multiples of 1
equivalent fractions for 2 4/5 and 2 2/3 plz help I will mark brainliest
Answer:
24/5: 48/10
22/3: 44/6
plz mark me as brainliest.
Question 6 options:
The diameter of a circle is 35.7 yards. The circle's circumference is about ___ yards.
Use 3.14 for .
Answer:
C = 112.098yds
Step-by-step explanation:
Where finding the circumference so do pi times diameter.
C = 3.14×d
C = 3.14×35.7
C = 112.098yds
HELP PLEASE what’s the answer!?!?
Answer:
this is the answer for 4th question
and it is a collinear
Answer:
C=20
Step-by-step explanation:
This is for question 3
For perpendicular lines , the product of their gradient should give -1 for the answer and thus,
3×x=-1
x=-⅓, the gradient for the line.
Therefore c =
-2-3/c- 5 =-⅓
-1(c-5)=3(-2-3)
-c+5=-6-9
-c=-6-9-5
-c=-20
The negatives cancel each other leaving c as 20
Find the midpoint between the two points.
Answer:
(1,3) is the answer.
Step-by-step explanation:
hope you get it right!!
What is the value of this prism?
A) 56.3
B) 11.75
C) 31.5
D) 63.0
Please help :P
Answer:
The value of the prism is 56.3
what is the 3.5mi circumstances i also need help with this if you guys can help me
Fran has a box of candy. There are 5 pieces of lemon-flavored candy, 3 pieces of orange-flavored candy, and 4 pieces of grape-flavored candy in the box. Fran will randomly select 1 piece of candy from the box. What is the probability that the piece of candy will NOT be lemon flavored?
A. 7/12
B. 5/12
C. 5/7
D. 2/3
Answer:
5/12
Step-by-step explanation:
Answer:7/12
Step-by-step explanation: 5+3+4=12 12-5= 7/12
there are 45 runners in a race. how many ways can the runners finish first, second, and third?
There are 85,860 ways the runners can finish first, second, and third in the race.
The number of ways the runners can finish first, second, and third can be calculated using the concept of permutations.
For the first position, there are 45 runners who can finish first.
For the second position, there are 44 runners left who can finish second (since one runner has already finished first).
For the third position, there are 43 runners remaining who can finish third (since two runners have already finished).
The total number of ways the runners can finish first, second, and third is given by the product of these individual possibilities:
Number of ways = 45 * 44 * 43 = 85,860
Therefore, there are 85,860 ways the runners can finish first, second, and third in the race.
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PLEASE HELP!! This is due today!
Answer:
$20.4
Step-by-step explanation:
20% of 17= 3.4
Add it to the initial $17 and you get $20.4
Answer: $20.40
Step-by-step explanation:
Since you're giving a 20% tip, your total will be 120% the price of the shampoo and cut.
17 * 120%
= 17 * 1.2
= 20.4
The total amount of money you spent at the salon and barbershop is $20.40
Your answer is correct :)
Which line is parallel to y = 2 and goes through the point (3, 4)?
Answer:
y = 4
Step-by-step explanation:
Since it's y = 2,
there's no slope
So y = 4 is parallel to y = 2
y = 4 goes through the point (3, 4) since it's just one horizontal line hitting the y-axis
Attempt in Progress The table shown below gives seven pairs of x and y values. X Y 12 18 9 35 14 12 8 40 10 31 4 33 18 10 Using the regression of y on x, the predicted value of y for x = 15, rounded to two decimal places, is:
The predicted value of y when x = 15 is given as follows:
15.8.
How to find the equation of linear regression?To find the regression equation, which is also called called line of best fit or least squares regression equation, we need to insert the points (x,y) in the calculator.
The points in this problem are given as follows:
(12, 18), (9, 35), (14, 12), (8, 40), (10, 31), (4, 33), (18,10).
Inserting these points into the calculator, the line of best fit is given as follows:
y = -2.28x + 50.
When the value of y when x = 15 is given as follows:
y = -2.28(15) + 50
y = 15.8.
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For a standard normal distribution (u=0, 0=1), the area under the curve less than 1.25 is 0.894. What is the approximate percentage of the area under the curve less than -1.25? 0.894 0.394 0.211 0.106
After considering all the given data we conclude that approximate percentage of area under the curve is 10.6%, which is approximately 0.106 as a decimal or 53/500 as a fraction
In case of standard normal distribution, the area under the curve less than 1.25 is 0.894.
Then the standard normal distribution is symmetric about the mean, the area under the curve less than -1.25 is the same as the area under the curve greater than 1.25.
Hence, the approximate percentage of the area under the curve less than -1.25 is approximately
(1 - 0.894) * 100% = 10.6%,
which is approximately 0.106 as a decimal or 53/500 as a fraction
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Using the information in part A, interpret the meaning of the quotient in terms of the two fractions given
Answer:
hello the information in part A is missing below is the missing information
How many 2/3 foot pieces can Wendy cut from the 5 and 1/3 feet of ribbon? Show your work
answer : 8
Step-by-step explanation:
The quotient in terms of the two fractions
Determine 2/3 foot that can be gotten from 5 1/3
Divide 5 1/3 by 2/3 ( how to get quotient )
= 5 1/3 / 2/3
= (16 / 3 ) / ( 2/3 ) ( meaning of the quotient )
= 8
Last year, a property manager bought seven identical snow shovels and nine identical bags of salt. The total cost of the snow shovels was $241.50, before tax, and each bag of salt cost $6.20, before tax. This year, the property manager bought 3 identical snow shovels and six identical bags of salt. The total cost of the snow shovels was $105.57, before tax, and the total cost of the bags of salt was $39.06, before tax. Determine the item with the greatest percent increase in the price from last year. Be sure to include the percent increase for this time to the nearest percent.
Answer:
Step-by-step explanation:
The formula to approach this shall be:
( Final price - Initial price )/ Final price × 100/1 ............. 1
Hence for the snow shovels
Initial price = $241.50 for 7
Each will cost = $241.50/7
= $34.5
Final price for snow shovels
= $105.57 for 3 shovels
Each will cost = $105.57/3
= $35.19
Now considering the bags of salt
Initial price = $6.20 each
Final price = $39.06 for 6 bags
Each bag cost = $39.06/6
= $6.51
Now apply the formula in equation (1)
For snow shovels
($35.19- $34.5)/$34.5 × 100/1
= 0.69/34.5 × 100/1
= 0.02×100/1
= 2%
For bags of salt
($6.51-$6.20)/$6.20 ×100/1
0.31/6.20×100/1
0.05×100/1
= 5%
Hence from the above solution, we can now deduce that shovel increased by 2% while bags of salt went up by 5%.
plx help dont lie about the right answer
Answer:
c
Step-by-step explanation:
13. The total cost of 3 equally-priced baseball caps is $48. How
much does a customer save by using a 15%-off coupon to buy
4 baseball caps?
A $21.60
B $9.60
C $7.20
D $2.40
The complex number z = -1 -i is given.
a) Write down this number in the trigonometric form.
b) Calculate all the roots of √z and plot them all on the complex plane.
The trigonometric form of the complex number z = -1 - i is z = √2cis(3π/4) and the roots of √z are √2/2cis(3π/8) and √2/2cis(11π/8).
a) Trigonometric form of the complex number z = -1 - i is given by:
r = |z| = √(1²+1²) = √2θ = arctan(-1/-1) + π = 3π/4
Therefore, z = √2cis(3π/4)b)
Since, √z = (√2cis(3π/4))/2
= (√2/2)(cis(3π/4)/2), the roots of √z are given by:
√2/2cis(3π/4 + 2nπ)/2, where n = 0, 1.
Therefore, the roots are √2/2cis(3π/8) and √2/2cis(11π/8) and they are plotted as shown below:
In summary, the trigonometric form of the complex number z = -1 - i is z = √2cis(3π/4) and the roots of √z are √2/2cis(3π/8) and √2/2cis(11π/8).
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Advantage of using paired samples William S. Gosset was employed by the Guinness brewing company of Dublin. Sample sizes available for experimentation in brewing were necessarily small, and new techniques for handling the resulting data were needed. Gosset consulted Karl Pearson (1857-1936) of University College in London, who told him that the current state of knowledge was unsatisfactory. Gosset undertook a course of study under Pearson and the outcome of his study was a famous paper published in statistical literature, "The Probable Error of a Mean" (1908), which introduced the t- distribution. Since Gosset was contractually bound by Guinness, he published under a pseudonym, "Student"; hence, the t distribution is often referred to as 'Student's t distribution.' As an example, to illustrate his analysis, Gosset reported in his paper on the results of seeding 11 different plots of land with two different seed types: regular and kiln-dried. There is reason to believe that drying seeds before planting will increase plant yield. Since different plots of soil may be naturally more fertile, a matched pairs design was used by planting both types of seeds in all 11 plots. The resulting data (corn yield in pounds per acre) are in the submodule in Canvas. Open the 'seeds' dataset in Minitab. We will use this data to test if there is a difference in the yield based on seed type. Exploratory Data Analysis Visually, consider the two variables 'Regular seed' and 'Kiln_dried_seed.' Create a graph that displays a boxplot for each variable. Graph > Boxplot > Multiple Y Variables > With Categorical Variables > Select variables. 1. What do you observe? What are the shapes of the distributions? Is there an obvious difference in the centers of the distributions? Note: we can use the t distribution to make inferences because the graphs show no clear skewness or outliers Analysis This is paired data since both types of seed were planted in each plot, so the yields of each seed type in the plot are paired. The unit/case is the plot. What happens when we build a confidence interval for the difference in means without taking the pairing into account. 2. Use Minitab to build the 95% confidence interval: Stat > Basic Statistics > 2-sample t> Select 'Each sample is in its own column' from the drop-down menu. Sample 1: 'Regular_seed' and Sample 2: 'Kiln_dried_seed' What is the 95% confidence interval for μ1−μ2 ? 3. With the corresponding two-sided test, what is the p-value and generic conclusion? Note: Remember that an advantage of using a paired means approach is the ability to reduce unwanted variation and focus on the variation of interest. 4. Create dotplots of Samples: 'Regular_seed', 'Kiln_dried_seed', and the "Differences" Graph > Dotplot > Multiple Y Variables > enter all 3 variables Compare the three dotplots that you created. Do the sample of differences seem to have more, less, or about the same variation that is found with the two individual samples? 5. Use Minitab to find the summary statistics for all three variables: Stat > Basic Statistics > Display Descriptive Statistics [select all 3 variables] Complete the table below with the standard deviation: What do you notice about the standard deviation of the differences? 6. Calculate the 95% confidence interval for μd : Stat > Basic Statistics > Paired t> Sample 1: 'Regular_seed' and Sample 2: 'Kiln_dried_seed' x
ˉ
d= Ibs/acre 95% confidence interval for μd : 7. Compare the confidence interval for μd in part 6 with the confidence interval that you found for μ1−μ2 in part 2 . What is the most salient difference between the two intervals? 8. What is the p-value and generic conclusion for the corresponding two-sided hypothesis test with μd ? 9. Compare the p-values from the two tests. What have you learned about the advantage of using a paired design when your data is matched pairs?
1. Observations: The boxplot graph reveals the distributions of corn yield for the 'Regular seed' and 'Kiln-dried seed.'
Both distributions appear approximately symmetric without any clear skewness. The center of the 'Kiln-dried seed' distribution seems to be slightly higher than the center of the 'Regular seed' distribution.
2. 95% Confidence Interval: Using Minitab, the 95% confidence interval for μ1-μ2 is (-28.88, -9.66) pounds per acre.
3. P-value and Conclusion: The corresponding two-sided test yields a p-value of 0.003.
Suggesting strong evidence of a difference in means between the two seed types. We can conclude that there is a significant difference in corn yield based on seed type.
4. Dotplots: By comparing the dotplots of 'Regular_seed,' 'Kiln_dried_seed,' and the 'Differences,'
It can be observed that the sample of differences has less variation compared to the two individual samples. The range of the differences is narrower, indicating reduced variation when focusing on the paired data.
5. Summary Statistics: The standard deviations for 'Regular_seed,' 'Kiln_dried_seed,' and the 'Differences' are 18.37, 14.71, and 8.21 pounds per acre, respectively.
Notably, the standard deviation of the differences is smaller compared to the standard deviations of the individual samples.
6. 95% Confidence Interval for μd: Using the paired t-test in Minitab, the 95% confidence interval for μd is (-18.16, -7.38) pounds per acre.
7. Comparison of Confidence Intervals: The confidence interval for μd (paired design) is narrower than the confidence interval for μ1-μ2 (unpaired design) from part 2.
This indicates that considering the pairing reduces the variability and provides a more precise estimate.
8. P-value and Conclusion for μd: The two-sided hypothesis test for μd yields a p-value of 0.001.
Indicating strong evidence of a significant difference in means between the two seed types.
9. Comparison of P-values: The p-value from the paired design (μd) is smaller than the p-value from the unpaired design (μ1-μ2).
This suggests that the paired design is more sensitive and able to detect smaller differences. The advantage of using a paired design becomes evident as it reduces unwanted variation, increases precision, and enhances the ability to detect significant differences.
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