Using the same scenario as above, but now you do not know the population variance. You collect a random sample of n = 21 cereal boxes and find the sample mean is 12.8 and the sample standard deviation to be 0.5. Test the null hypothesis H0: µ = 13 against the alternative hypothesis HA: µ < 13 at level of significance α = 0.01.

Required:
a. Find the test statistic.
b. Using the rejection region, do you reject or not reject the null hypothesis?
c. Find the p-value.
d. Using the p-value, do you reject or not reject the null hypothesis?
e. In context of your problem, what is your conclusion about the ounces contained in cereal boxes?

Answers

Answer 1

Answer:

-1.833 ; we do not reject the Null.

Pvalue = 0.0409 ; We do not reject the Null

There is no significant evidence to conclude that the number of ounces contained in the cereal boxes is less than 13

Step-by-step explanation:

H0 : μ = 13

HA : μ < 13

Test statistic :

(xbar - μ) ÷ s/sqrt(n)

(12.8 - 13) ÷ 0.5/sqrt(21)

-0.2 / 0.1091089

= - 1.833

The critical value at α = 0.01 ; df = 21 - 1 = 20 = 2.528

-1.833 > - 2. 528 (left tailed test) ; Hence we do not reject the Null.

Test statistic :

Pvalue from Test statistic at DF = 20 ; α = 0.01

Pvalue = 0.0409

Pvalue > α

0.0409 > 0.01 ; Hence, we do not reject H0.

There is no significant evidence to conclude that the number of ounces contained in the cereal boxes is less than 13


Related Questions

Answer choices- 4, 64, 240, 116, 68, 105, 480, 400 (20 points)​

Answers

Esa sería la respuesta a tu pregunta

A lawn service owner is testing new weed killers. He discovers that a particular weed killer is effective 89% of the time. Suppose that this estimate was based on a random sample of 60 applications. Construct a 90% confidence interval for p, the true proportion of weeds killed by this particular brand. what is the upper confidence limit for p

Answers

Answer:

The 90% confidence interval for p is (0.8236, 0.9564). The upper confidence limit for p is 0.9564.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

He discovers that a particular weed killer is effective 89% of the time. Suppose that this estimate was based on a random sample of 60 applications.

This means that [tex]\pi = 0.89, n = 60[/tex]

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.89 - 1.645\sqrt{\frac{0.89*0.11}{60}} = 0.8236[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.89 + 1.645\sqrt{\frac{0.89*0.11}{60}} = 0.9564[/tex]

The 90% confidence interval for p is (0.8236, 0.9564). The upper confidence limit for p is 0.9564.

Answer:

Answer:

The 90% confidence interval for p is (0.8236, 0.9564). The upper confidence limit for p is 0.9564.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.

In which

z is the zscore that has a pvalue of .

He discovers that a particular weed killer is effective 89% of the time. Suppose that this estimate was based on a random sample of 60 applications.

This means that

90% confidence level

So , z is the value of Z that has a pvalue of , so .

The lower limit of this interval is:

The upper limit of this interval is:

The 90% confidence interval for p is (0.8236, 0.9564). The upper confidence limit for p is 0.9564

Step-by-step explanation:

I need to find the measure of

Answers

Answer:

so it would be 5+20

Step-by-step explanation:

What is the surface area of the container?
A.
1,228 sq cm
B.
1,636 sq cm
C.
219 sq cm
D.
818 sq cm

Answers

Answer:

the correct answer is B

Step-by-step explanation:

got it right!!!!

What is 5 to the second power plus 4

Answers

Answer:

29

Step-by-step explanation:

5^2 = 25

25 + 4 = 29

the correct answer would be 29

HELP Easy math easy points look at the photo

Answers

Answer:

x = 60

Step-by-step explanation:

33 + 87 + 60 = 180

:))

Answer:

x = 60

Step-by-step explanation:

Warren has a container which holds 22 books of the same shape and size. The exact breakdown of his books is shown below:

6 white books
9 purple books
7 green books
Each time, Warren takes out a book at random. He will replace the book and take out another book from the container. What is the probability that Warren takes out a green book in both draws? (3 points)

a
7 over 22 multiplied by 7 over 22 equal 49 over 484

b
7 over 22 multiplied by 6 over 21 equal 42 over 462

c
7 over 22 plus 6 over 21 equal 279 over 462

d
7 over 22 plus 7 over 22 equal 308 over 484

Answers

Given:

Total number of book = 22

Number of white books = 6

Number of Purple books = 9

Number of green books = 7

To find:

The probability that Warren takes out a green book in both draws (with replacement).

Solution:

We know that,

[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]

[tex]P(\text{White})=\dfrac{6}{22}[/tex]

[tex]P(\text{Purple})=\dfrac{9}{22}[/tex]

[tex]P(\text{green})=\dfrac{7}{22}[/tex]

After replacement, the probability of event remains the same and the independent.

The probability that Warren takes out a green book in both draws is:

[tex]P=P(\text{green})\times P(\text{green})[/tex]

[tex]P=\dfrac{7}{22}\times \dfrac{7}{22}[/tex]

[tex]P=\dfrac{49}{484}[/tex]

Therefore, the correct option is (a).

Evaluate(8−3i)(3+2i)​

Answers

Answer:

The answer is 30+7i.

Step-by-step explanation:

Imaginary Number Definition

[tex]\large\boxed{{i=\sqrt{-1}}}[/tex]

Simply evaluate like how you evaluate polynomials. Expand the expression in.

[tex]\large{(8-3i)(3+2i)=[(8*3)+(8*2i)]+[(-3i*3)+(-3i*2i)]}\\\large{(8-3i)(3+2i)=(24+16i)+(-9i-6i^2)[/tex]

Therefore, our new expression when cancelling out the brackets is:

[tex]\large\boxed{24+16i-9i-6i^2}[/tex]

Imaginary Number Definition II

[tex]\large\boxed{i^2=-1}[/tex]

Therefore, substitute or change i² to -1

[tex]\large{24+16i-9i-6(-1)}\\\large{24+7i+6}\\\large{30+7i}[/tex]

Complex Number Definition

[tex]\large\boxed{a+bi}[/tex]

Where a = Real Part and bi = Imaginary Part.

Therefore, it's the best to arrange in the form of a+bi.

Hence, the answer is 30+7i.

Chloe wants to buy soda for a party. He buy a case of 24 cans or he can buy 4 six-packs of cans. The case costs $8.44 and each six-pack costs $2.85. Which is the better buy?

Answers

Answer:

the can that costs 8.44 is a better buy

Step-by-step explanation:

Answer:

the 24 can pack

Step-by-step explanation:

2.85 x 4 = 11.4

$11.4 is more expensive than $8.44

Find the Domain and Range

Answers

Answer:

See explanation below

Step-by-step explanation:

Domain =  [tex]-7\leq x\leq infinity[/tex]

Range = [tex]-1<y<infinity[/tex]

Domain refers to the set of x values of the graph, while range refers to the set of y values of the graph.

please answer asap! no scam links or scam comments or reported.

Answers

It’s A!! Because you’re adding 25 for every 5 :)

Answer:

A

Step-by-step explanation:


A car travels 30
303
miles in
of an hour. What is the average speed, in miles per hour,
of the car?

Answers

Answer:

45.3 miles/h

Step-by-step explanation:

let 'x' be the speed of the car.

60 × 2/3 = 120/3 = 40

30 × 1/5 = 151/5

151/5 /40 = x / 60

151 / 200 = x / 60

=> x = (151×60) / 200

=> x = 45.3

if this helps can I pls get a brainliest?

The student body president of a high school claims to know the names of at least 1000 of the 1800 students who attend the school. To test this claim, the student government advisor randomly selects 100 students and asks the president to identify each by name. The president successfully names only 46 of the students. Identify the population and parameter of interest.

Answers

Answer: Population = Total students attend the school.

Parameter = Proportion of students named by president correctly.

Step-by-step explanation:

Population for a particular study is the largest possible group of individuals that are essential to be considered.

Parameter = measure of characteristic in a population.

By the above definition, we have

Population = Total students attend the school(1800).

Parameter = Proportion of students named by president correctly.

Please Help!!

Jacqui has 162 trading cards. She buys 25 more trading cards. Then, she puts her trading cards into a binder. Each page of the binder holds 9 cards.
After filling as many pages as she can, Jacqul gives the rest of the trading cards to her brother.
How many trading cards does Jacqui give to her brother?

Enter the answer in the box.
trading cards

Answers

Are you given how many pages are in the binder?

Given the angles in the diagram below, what is mZ2?

Answers

Answer:

98

Step-by-step explanation:

Hello There!

The angle that has a measure of 82 degrees and the angle labeled "2" are supplementary angles.

This meaning that the sum of the two angles is 180

So to find the missing angle (2) we subtract the given angle (82 in this case) from 180

so ∠2 = 180 - 82

180 - 82 = 98

Hence, the answer is 98°

write an exponential formula of the form f (t)=a×b^t to represent the following situation. assume t is in years. an investment of $11,500 triples every 14 years. round your values to the three decimal places. f(t)=________​

Answers

Answer

[tex]f(t) = 11500 * (3)^{\frac{t}{14}}[/tex]

Explanation

Given

[tex]a = 11500[/tex] -- initial

[tex]b = 3[/tex] ---- every 14 years

Required

The exponential equation

The exponential equation is:

[tex]y =ab^T[/tex]

First, calculate the yearly rate.

Triples every 14 years, implies that:

[tex]b = 3[/tex] -- the rate

[tex]T=\frac{t}{14}[/tex] ---- time

So:

[tex]y =ab^t[/tex]

[tex]y = 11500 * (3)^{\frac{t}{14}}[/tex]

Hence:

[tex]f(t) = 11500 * (3)^{\frac{t}{14}}[/tex]

Pleas help with this

Answers

The answer is on quizlets look ot up

Find each trig ratio.

Answers

Answer:

a) 12/13

b) 5/13

Step-by-step explanation:

sin k = 12/13

cos k = 5/13

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
28 cm
Estimate the area of the circle. Use 3.14 or 22/7 for pie

Answers

Answer:

if 28 cm is the radius then:

area = 2461.76 cm²

if 28 cm is the diameter then:

area = 615.44 cm²

Step-by-step explanation:

area = πr² = (3.14)(28²) = 2461.76 cm²

Pleaseeee helpppp meeee

Answers

Hi
Step-by-step explanation
1 pantbrush —————— 5,2x10^-3 kg
750 paintbrushes ——— x

x= 750 x 5,2x10^-3= 3,9kg

The DrJocker


question in picture(explain if u can it helps alot)

Answers

Answer:

4z + 2q

Step-by-step explanation:

there is 4 "z" and 2 "q"

Answer:

4z+2q

Step-by-step explanation:

combine like terms

combine all the z’s and all the q’s

MY STORE is selling $30 jeans for $15. What is the discount percentage?​

Answers

Answer:

50% off

Step-by-step explanation:

15 is half of 30 so it would be 50%

15/30 = 0.5
Convert 0.5 to a percentage.
0.5 = 50%
Answer: 50%

Good luck!

Two similar triangles have heights of 8 and 20. The area of the larger triangle
is 150. Find the area of the smaller triangle.

Answers

Answer:

60

Step-by-step explanation:

the question is based on similarity and enlargement

firt thing put the velues to ratio form;8;20

simplify to obtain2:5 as your linear scale factor...

if 5:150

2=?

2*150/5=60

Pls help with this ASAP :)

Answers

Answer:

No Solution

Step-by-step explanation:

-8x - 2(7+2x) = -6(2x+5)

-12x - 14 = -12x - 30

-14 = -30, False

No Solution

No Solution is the Answer

A grocery store sells a bag of 5 lemons for $3.00. What is the unit cost of each lemon in the bag?

Answers

Answer:

the unit cost of each lemon is $0.60

Step-by-step explanation:

divide 3.00 by 5 to get 0.6

ANSWER ASAP PLEASEEEE SKSKSSKS
Which number is irrational?
A. 9
B. 10
C. 16
D. 25
E. 36

Answers

Answer:

pretty sure its 9

[tex] \sqrt{9 = + 3} [/tex]

Which situation is a result of focal policy
O A A Corporationis fines for violating regulations.
3. A school gets more money to buy computers,
O C. A bank offers a loan to a small business.
D. A consume hes limites options for food at a store

Answers

Point D
I believe so

A boat can travel 40mph in still water. If it travels 126 miles with the current in the same length of time it travels 114 miles against the current, what is the speed of the current?
no links please

Answers

Answer:

rate of the current = 2 mph

Step-by-step explanation:

d = rt

Let c = rate of the current

Rate going downstream = c + 40

Time going downstream = 126/(40 + c)

Rate going up stream =  40 - c

Time going upstream = 114/(40 - c)

Since the times are equal, then

126/(40 + c) = 114/(40 - c)

126(40 - c) = 114(40 + c)

5040 - 126c = 4560 + 114c

   240c  =  480

          c = 2 mph

Since Spring started, Kareem has been surveying the growth of leaves on his neighborhood trees. He goes out every day and computes the average number of leaves on a sample of trees. He created a scatter plot where the y-axis represents the average number of leaves on the trees, and the x-axis represents the number of weeks since Spring started.

Write a linear equation in slope-intercept form that can be used to approximate the data distribution using the two data points labeled on the best fit line.

Answers

Answer:

y=1x-b is thou answer

Answer:

um yeah i have that question but it isnt right?

Step-by-step explanation:

I dont know why it didnt work :(

30. find the value of x
(7x + 10) (11x - 6)

Answers

This is the answer I hope it’s correct
Other Questions
A pair of designer sneakers was purchased for $120 and a few months later, the new price is $138.what is the percentage increase? What happened at the beginning of the Persian Gulf War? 85 is 68% of what number A person places $1380 in an investment account earning an annual rate of 8.6%, compounded continuously. Using the formula V = Pe^{rt}V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 10 years. List the four houses at Hogwarts.a.b.C.d.harry potter chapter 7 Definition of exponential? When a text encourages the reader to believe or do something, the author's purpose is AcellusA motion sensor emits sound, anddetects an echo 0.0115 s after. Ashort time later, it again emits asound, and hears an echo after0.0183 s. How far has thereflecting object moved?Help Resources(Speed of sound = 343 m/s)(Unit = m) I need some help with my grade 10 math work A music store had a sale on tapes and CDs. Tapes were on sale for $5 each and CDs were on sale for $7. During the sale, 32 tapes and CDs were sold. The cash receipts from the sale of the tapes and CDs, before taxes, were $200. Let x represent the number of tapes and let y represent the number of CDs sold during the sale. Which sentence in the final paragraph is an example of a sentence fragment? A. Sentence 2 is a sentence fragment. B. Sentence 3 is a sentence fragment. C. Sentence 1 is a sentence fragment. D. There is no sentence fragment in the final paragraph. Read this quote from the Roman poet Horace: Greece has conquered her rude conqueror (circa 20 BCE). What does Horace mean by this statement? (1 point) a Greek generals had won victories against Rome. b Greek diseases had killed Roman people. c Greek culture had transformed Rome. d Greek money had bought Roman lands. Change it from direct narration for indirect narration1. She said,'' She never gets up early on Sunday.'' Find the coordinates of E' after a dilation with ascale factor of 2. what are the challenges of being a leader Which of the following quotes are examples of irony in the text? (SELECT THREE)"I'm seventeen and I'm crazy. My uncle says the two always go together. When people ask your age, he said, always say seventeen and insane.""You know, I'm not afraid of you... So many people are. Afraid of firemen, I mean.""Do you ever read any of the books you burn?" He laughed. "That's against the law!""My uncle was arrested another time-did I tell you?-for being a pedestrian."He wore his happiness like a mask and the girl had run off across the lawn with the mask and there was no way going to knock on her door and ask for it back. Explain in term of forces, why duck is floating on the water WILL GIVE BRAINLIEST!! Priscilla received 240 votes in the election for student council president. That was 60% of the students who voted in the election. How many students voted in the election? A) 400 students B) 300 students C) 185 students D) 455 students When is the only time to abbreviate on a job application? Question 3 options: In the Personal Information section In the Position & Availability section Only when space is limited Signature section What kind of event is this: You draw a marble from a bag, keep it, then draw anotherIndependentorDependent PLS HELP!!!!72 REWARD BC ITS URGENT :(Which of the following equations is not balanced?A. N2 + 3H2 --> 2NH3B. Mgl2 + Br2 --> MgBr2 + I2C. KCIO3 --> KCI +O2D. HCI + NaOH --> NaCI +H2O