ZuoTi.Pro
Question

A sample of five​ measurements, randomly selected from a normally distributed​ population, resulted in the following...

A sample of five​ measurements, randomly selected from a normally distributed​ population, resulted in the following summary​ statistics: x overbar equals4.4​, sequals 1.3. Complete parts a through c.

Test the null hypothesis that the mean of the population is

6

against the alternative​ hypothesis,

mu

less than6

.

Use

alpha

equals0.05

.

If

alpha

equals0.05

​,

find the rejection region for the test. Choose the correct answer below.

A.

tgreater than

2.776

B.

tgreater than

2.132

C.

tless than

minus2.776or

tgreater than

2.776

D.

tless than

minus2.132or

tgreater than

2.132

E.

tless than

minus2.132

F.

tless than

minus2.776

Calculate the value of the test statistic.

tequals

negative 2.75

​(Round to two decimal places as​ needed.)

Make the appropriate conclusion. Choose the correct answer below.

A.

Do not reject

H0.

There is

sufficient

evidence at the

alpha

equals0.05level of significance to conclude that the true mean of the population is less than

6

.

B.

Do not reject

H0.

There is

insufficient

evidence at the

alpha

equals0.05level of significance to conclude that the true mean of the population is less than

6

.

C.

Reject

H0.

There is

insufficient

evidence at the

alpha

equals0.05level of significance to conclude that the true mean of the population is less than

6

.

D.

Reject

H0.

There is

sufficient

evidence at the

alpha

equals0.05level of significance to conclude that the true mean of the population is less than

6

.

b. Test the null hypothesis that the mean of the population is

6

against the alternative​ hypothesis,

mu

not equals6

.

Use

alpha

equals0.05

.

If

alpha

equals0.05

​,

find the rejection region for the test. Choose the correct answer below.

A.

tless than

minus2.132or

tgreater than

2.132

B.

tgreater than

2.776

C.

tless than

minus2.132

D.

tless than

minus2.776or

tgreater than

2.776

E.

tgreater than

2.132

F.

tless than

minus2.776

Calculate the value of the test statistic.

tequals

negative 2.75

​(Round to two decimal places as​ needed.)

Make the appropriate conclusion. Choose the correct answer below.

A.

Do not reject

H0.

There is

insufficient

evidence at the

alpha

equals0.05level of significance to conclude that the true mean of the population is not

6

.

B.

Reject

H0.

There is

sufficient

evidence at the

alpha

equals0.05level of significance to conclude that the true mean of the population is not

6

.

C.

Do not reject

H0.

There is

sufficient

evidence at the

alpha

equals0.05level of significance to conclude that the true mean of the population is not

6

.

D.

Reject

H0.

There is

insufficient

evidence at the

alpha

equals0.05level of significance to conclude that the true mean of the population is not

6

.

c. Find the observed significance level for each test.

Find the observed significance level for the test in part

a.

​p-valueequals

nothing

​(Round to three decimal places as​ needed.)

Find the observed significance level for the test in part

b.

​p-valueequals

nothing​(Round to three decimal places as​ needed.)

math   Statistics-And-Probability   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

Dear student I've solved complete part please select your correct option accordingly as your options were not arranged properly.

(1.1 Here we have ー チ·チ! Hypotheses: Ha: 시< 6 e Test sHafrc tr 死ーんーー4-9-6 一2·132 on 0 There is gute λ ent evidence to wrroat c laimand we can conclude that he tu

0 0
Add a comment
Know the answer?
Add Answer to:
A sample of five​ measurements, randomly selected from a normally distributed​ population, resulted in the following...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions

  • The sample of six measurements shown below was randomly selected from a normally distributed population. Complete...

    The sample of six measurements shown below was randomly selected from a normally distributed population. Complete parts a throughc 1,3, 1, 5, 1,2 a. Test the null hypothesis that the mean of the population is 3 against the alternative hypothesis, 3. Use a 0.10. If a = 0.10, find the rejection region for the test. Choose the correct answer below O A. t 2.015 or t> 2.015 O C. t-2015 O E. t1476 O B. t-1.476 O D. t 1.476...

  • 19 25 The sample of six measurements shown below was randomly selected from a normally distributed...

    19 25 The sample of six measurements shown below was randomly selected from a normally distributed population. Complete parts a through c. 1,2,3,3,4,1 a. Test the null hypothesis that the mean of the population is 3 against the alternative hypothesis. p < 3. Use a = 0.05 Ifq=0.05, find the rejection region for the test. Choose the correct answer below. % 1994 1994 OA. <-2015 or t> 2015 Oct-2571 O E. > 2571 OB < -2015 OD < -2571 ort...

  • A simple random sample of 60 adults is obtained from a normally distributed​ population, and each​...

    A simple random sample of 60 adults is obtained from a normally distributed​ population, and each​ person's red blood cell count​ (in cells per​microliter) is measured. The sample mean is 5.27 and the sample standard deviation is 0.53. Use a 0.01 significance level and the given calculator display to test the claim that the sample is from a population with a mean less than 5.4, which is a value often used for the upper limit of the range of normal...

  • (1 point) A sample of 6 measurments, randomly selected from a normally distributed population, resulted in...

    (1 point) A sample of 6 measurments, randomly selected from a normally distributed population, resulted in a sample mean x = 7.5 and sample standard deviation s = 1.08. Using a = 0.01, test the null hypothesis that the mean of the population is 8.1 against the alternative hypothesis that the mean of the population is less than 8.1 by giving the following: (a) the degree of freedom (b) the critical t value (c) the test statistic The final conclusion...

  • A simple random sample of 53 adults is obtained from a normally distributed​ population, and each​...

    A simple random sample of 53 adults is obtained from a normally distributed​ population, and each​ person's red blood cell count​ (in cells per​ microliter) is measured. The sample mean is 5.28 and the sample standard deviation is 0.55. Use a 0.05 significance level and the given calculator display to test the claim that the sample is from a population with a mean less than 5.4 which is a value often used for the upper limit of the range of...

  • A simple random sample of size n=15 is drawn from a population that is normally distributed....

    A simple random sample of size n=15 is drawn from a population that is normally distributed. The sample means found to be x=26.7 and the sample standard deviation is found to be s=6.3.Determine if the population mean is different from 25 at the a=0.01 level of significance. A. Determine the null and alternative hypotheses. B. Calculate the p value. C. State the conclusion for the test. Choose from below: a. Do not reject h0 because the P-value is less than...

  • (1 point) A sample of 6 measurments, randomly selected from a normally distributed population, resulted in...

    (1 point) A sample of 6 measurments, randomly selected from a normally distributed population, resulted in a sample mean, t = 7.7 and sample standard deviation s = 1.2. Using a = 0.05, test the null hypothesis that the mean of the population is 7.2 against the alternative hypothesis that the mean of the population, j < 7.2 by giving the following: (a) the degree of freedom (b) the critical t value (c) the test statistic The final conclustion is...

  • Independent random samples were selected from each of two normally distributed populations, n = 6 from...

    Independent random samples were selected from each of two normally distributed populations, n = 6 from population 1 and n2 = 5 from population 2. The data are shown in the table to the right. Complete parts a through c below. 4.7 4.6 1.6 2.3 1.2 3.8 0.6 3.9 C. Test Ho: 02202 against He:0; >o. Use a = 0.01. Determine the test statistic. F= (Round to two decimal places as needed.) Find the p-value. p= (Round to three decimal...

  • Find the p-value show work. STA 3123 U01- Spring 2019 omework: Section 8.5 Homework core: 0...

    Find the p-value show work. STA 3123 U01- Spring 2019 omework: Section 8.5 Homework core: 0 of 1 pt Kath 70f9(9 complete) ▼ 8.5.57-T sample of five measurements, randomly selected from a normally distributed population, resulted in the folowing summary statistics: x 4.7, s1.2. Complete parts a. Test the null hypothesis that the mean of the population is 6 against the afternative hypothesis, u 6. Use -0.01 lf α. 0.01, find te rejection region for the test. Choose the correct...

  • A sample of size 100, taken from a population whose standard deviation is known to be...

    A sample of size 100, taken from a population whose standard deviation is known to be 8.90, has a sample mean of 51.16. Suppose that we have adopted the null hypothesis that the actual population mean is greater than or equal to 52, that is, H0 is that μ ≥ 52 and we want to test the alternative hypothesis, H1, that μ < 52, with level of significance α = 0.05. a) What type of test would be appropriate in...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT