Answer:
Mean = 32.25
median = 31.5
Answer:
Median = 31.5
Mean = 32.25
Step-by-step explanation:
Number of data = 8
Ascending order:
30 , 30 , 31 , 31 , 32 , 33 , 35, 36
Median = Average of 4th and 5th term
= (31 + 32) / 2
= 63/2
= 31.5
Mean = Sum of all the observations /number of observations
= (31 + 32 + 36 +31 + 30 + 35 + 33 +30) / 8
= 258/8
= 32.25
Consider the following hypothesis test:
H0: µ = 20
Ha: µ < 20
A sample of 50 provided a sample mean of 19.4. The population standard deviation is 2.
a. Compute the value of the test statistic (to 2 decimals).
b. What is the p-value (to 3 decimals)?
c. Using a = .05, can it be concluded that the population mean is less than 20?
d. Using a = .05, what is the critical value for the test statistic?
e. State the rejection rule: Reject H0 if z is the critical value.
f. Using a = .05, can it be concluded that the population mean is less than 20?
Answer:
a
[tex]z = - 2.12[/tex]
b
[tex]p- value = 0.017003[/tex]
c
There is sufficient evidence to show that the population mean is less than 20
d
[tex]z_{0.05} =- 1.645[/tex]
e
The decision rule is
Reject the null hypothesis
f
The conclusion is
There is sufficient evidence to show that the population mean is less than 20.
Step-by-step explanation:
From the question we are told that
The null hypothesis is [tex]H_o: \mu = 20[/tex]
The alternative hypothesis is Ha: µ < 20
The sample size is n = 50
The sample mean is [tex]\= x = 19.4[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
The population standard deviation is [tex]\sigma = 2[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\= x - \mu }{ \frac{\sigma }{ \sqrt{n} } }[/tex]
=> [tex]z = \frac{19.4 - 20 }{ \frac{2}{ \sqrt{50 } } }[/tex]
=> [tex]z = - 2.12[/tex]
From the z table the area under the normal curve to the left corresponding to -2.12 is
[tex](P< -2.12) = 0.017003[/tex]
Generally the p-value is
[tex]p- value = 0.017003[/tex]
From values obtained we see that [tex]p-value < \alpha[/tex] hence
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to show that the population mean is less than 20.
Generally form the normal distribution table the critical value at a level of significance of [tex]\alpha = 0.05[/tex] is
[tex]z_{0.05} =- 1.645[/tex]
Generally given that [tex]z < z_{0.05}[/tex]
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to show that the population mean is less than 20.
what is the image of (6,-2) under the translation (x,y) (x-5,y-8)
CAN SOMEONE PLS HELP
Which phrase best completes this table?
Table:
(Queen Hatshepsut's Accomplishments)
* Opened trade with many other regions
* Was only the second woman to rule Egypt
* ???????????
Options to choose from for the third one :
A. Gave women the same rights as men
B. Built many roads and temples
C. Made peace with the Hittites
D. Invaded the kingdoms of Punt and Somalia
Please help me I need an answer fast!
I REALLY NEED HELP
Answer:
B built many roads and temples
What is the slope of the line that passes through (0,0) (3,4)?
Answer:
M = 4/3 - c/3
Step-by-step explanation:
Answer:
4/3
Step-by-step explanation:
The slope formula is the difference in y over the difference in x, so 4-0/3-0.
PLEASE ANSWER ME!
What is the result when the number 65 is increased by 53%?
Answer:
The result when 65 is increased by 53% is 34.45
Step-by-step explanation:
Hope this helps and have a great day :)Answer:
34.45
Step-by-step explanation:
i hope you get it right
Marc has 3 fewer than 4 times the amount of ringtones than Melanie has. Write
an expression to show how many ringtones Marc has. Let r represent the
number of ringtones on Melanie's phone.
Answer:
4r-3
Step-by-step explanation:
3 fewer means subtracting 3 and 4 represents the r
us
Figure ABCD is a kite. Find the
value of x.
B
X + 20
X + 10
А
С
X = [?]
Enter
Answer:
x = 30
Step-by-step explanation:
Since this is a right triangle,
90 = (x + 20) + (x + 10)
90 = x + x + 20 + 10
90 = 2x + 30
90 - 30 = 2x
60 = 2x
60/2 = 2x/2
30 = x
Check:
x + 20
30 + 20 = 50
x + 10
30 + 10 = 40
50 + 40 = 90
Hope this helps!
Find the quotient. 3,482 ÷ 9 = *
Answer:
386.8
Step-by-step explanation:
pretty sure thats it
Answer:
386.8888 .. ...
Step-by-step explanation:
3482/9
Help please it’s math
M
Can someone please help me!!
Answer:
64 is the measure of angle A.
Step-by-step explanation:
===================================================================
The triangle is an isosceles triangle, so when you use the supplementary theorem for angle BCA and 116, you get 64. And since the base pairs are equal, angle A is 64.
===================================================================
Answer:
m∠A = 64°
Step-by-step explanation:
If AB = BC , then ∠CAB ≅ ∠ACB
m∠ACB = 180° - 116° = 64° ⇒ m∠A = 64°
1
After becoming completely blind at the age of
sixty-four, what did Leonhard Euler do?
Answer:
his remarkable mathematical flow continued without interruption – in fact, it increased.
Step-by-step explanation:
Please help i will give brainlest!
Answer:
6×1+9×1/10+4×1/100+7×1/1000
Step-by-step explanation:
PLEASEE HELPP WILL BRAINLIST why would the average rate of the change be equal to zero from x = -2 to x = 6?
Answer:
x=5
Step-by-step explanation:
I was working on this problem also.
Maybe my version will help, too.
You need to sketch f given the information you have.
f'(x) is approximately a a cubic polynomial which means f will look like a quartic (think W)
f slopes down (negative slope) to x=2 and then slopes down again...this is a horizontal tangent.
f then slopes down to to x=5 where is has a minimum and then slopes up.
if im not wrong
help please 20 points to who answers not 10 points 20
Answer:
b c and a
Step-by-step explanation:
Answer:
A, B, C
Step-by-step explanation:
Which equation is equivalent to 3[x + 3(4x – 5)] = 15x – 24?
a.15x – 15 = 15x – 24
b.15x – 5 = 15x – 24
c.39x – 45 = 15x – 24
d.39x – 15 = 15x – 24
Answer: 39x-45=15x-24
Step-by-step explanation:
Do inside brackets first then simplify
This is one I’m stuck on
Answer:
1.109
2.264
3.462
Step-by-step explanation:
A basketball player averages 12,5 points per game. There are 24 games in a season. At this rate, how many points
would the player score in an entire season?
In the entire season, the basketball player would score
points.
✓ Done
Intro
15 of 15
Answer:
12.5 x 24=300
Step-by-step explanation:
BLINKS!! WHAT ALBUM SHOULD I GET
Theres more but not all fit in one pic
Answer: Idc u pick
Step-by-step explanation:
Answer:
square up
Step-by-step explanation:
its the best (blink fan for 3 years)
An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in California. Suppose that the mean income is found to be $22.4 for a random sample of 2128 people. Assume the population standard deviation is known to be $9.3. Construct the 98% confidence interval for the mean per capita income in thousands of dollars. Round your answers to one decimal place.
Answer:
[21.9, 22.9] in thousands of dollars
Step-by-step explanation:
The formula for Confidence Interval
= Mean ± z score × standard deviation/√n
Mean = $22.4
Standard deviation = $9.3
n = 2128
z score of 98% confidence interval = 2.326
Confidence Interval = 22.4 ± 2.326 × 9.3/√2128
= 22.4 ± 0.469
Confidence Interval =
22.4 - 0.469
= 21.931
≈ 21.9 in thousand of dollars
22.4 + 0.469
= 22.869
≈ 22.9 in thousands of dollars
Hence, the 98% confidence interval =
[21.9, 22.9] in thousands of dollars
What's the range of this function graph?
Question 3 options:
A)
(–∞,2)
B)
[2,∞)
C)
(–2,∞)
D)
[–2,∞]
Answer:
B [2,∞)
Step-by-step explanation:
A rectangle a photo with dimension 3 inches wide by 4 inches long is enlarged to a length of 12 inches what is the width of the enlarged print
8. Three gases found in Earth's atmosphere are carbon dioxide, nitrogen, and oxygen. What is their
order of abundance from greatest to least?
A. nitrogen, oxygen, carbon dioxide
B. nitrogen, carbon dioxide, oxygen
C. oxygen, nitrogen, carbon dioxide
D. carbon dioxide, oxygen, nitrogen
Answer:
carbon dioxide,oxygen,nitrogen
Find the slope of the line passing through the points (-4,9) and (-4,-6).
Answer:
Indefinite answer
Step-by-step explanation:
Use formula
Y2 - y1 over x2 - x1
Guess what -4 - -4 gets cancelled and denominator becomes 0
Yesterday, the temperature in a city dropped from 9°C to –9°C, as shown below.
The expression 9 + (–18) represents the final temperature. Which of the following is an equivalent way to describe this temperature?
|–18| degrees in a negative direction from 9 degrees
|–18| degrees in a positive direction from 9 degrees
|–9| degrees in a negative direction from 9 degrees
|–9| degrees in a positive direction from 9 degrees
Answer:
b
Step-by-step explanation:
absoulute value is never negative.
Please help it would mean alot!
Points and brinliast!
Answer:
Maybe because what about the other votes that were supposed to be left.
Step-by-step explanation:
the largest negative integer is -1000
Answer:
rlly
Step-by-step explanation:
disagree but yea sure
. Solve for x.
10xy=W
Answer:
x=W/10y
Step-by-step explanation:
Look at the long division problem shown on the right. Complete the division to determine what the remainder will be.
What is the remainder?
–10
–7
7
10
x + 4 StartLongDivisionSymbol 4 x Superscript 4 Baseline + 18 x cubed + 3 x squared minus 18 x + 15 EndLongDivisionSymbol. minus 4 x Superscript 4 Baseline + 16 x cubed to get a remainder of 0 x Superscript 4 Baseline + 2 x cubed + 3 x squared. minus 0 x Superscript 4 Baseline + 2 x cubed + 8 x squared to get a remainder of 0 x Superscript 4 Baseline + 0 x cubed minus 5 x squared minus 18 x. minus 0 x Superscript 4 Baseline + 0 x cubed minus 5 x squared minus 20 x to get a remainder of blank and a quotient of 4 x cubed + 2 x squared minus 5 x + c.
Answer:
The remainder is...
7
Hope this helps!!
Step-by-step explanation:
Answer: it’s c
Step-by-step explanation:
A city is approximately circular with a radius of 10.6 miles. Approximately 90,000 people live there. What is the population density of this city?
Answer:
513 people per square mile
Step-by-step explanation:
because
What is the decimal for this grid?
0.04
4.0
0.004