A sample of five measurements, randomly selected from a normally distributed population, resulted in the following summary statistics: x = 4.4, s = 1.4. Complete parts a through c. a. Test the null hypothesis that the mean of the population is 6 against the alternative hypothesis, u <6. Use a = 0.10. If a = 0.10, find the rejection region for the test. Choose the correct answer below. O A. t>1.533 O B. t< -2.132 or t>2.132 O C. t>2.132 D. t< - 1.533 O E. t< -2.132 OF. t< -1.533 or t> 1.533 Calculate the value of the test statistic. t= -2.55 (Round to two decimal places as needed.) Make the appropriate conclusion. Choose the correct answer below. O A. Do not reject Ho. There is sufficient evidence at the a = 0.10 level of significance to conclude that the true mean of the population is less than 6. O B. Do not reject Ho. There is insufficient evidence at the a = 0.10 level of significance to conclude that the true mean of the population is less than 6. CC. Reject Ho. There is sufficient evidence at the a = 0.10 level of significance to conclude that the true mean of the population is less than 6. O D. Reject Ho. There is insufficient evidence at the a = 0.10 level 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, µ # 6. Use a = 0.10.

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A sample of five measurements, randomly selected from a normally distributed population, resulted in the following summary statistics: x = 4.4, s = 1.4. Complete parts
a through c.
a. Test the null hypothesis that the mean of the population is 6 against the alternative hypothesis, µ<6. Use a = 0.10.
If a = 0.10, find the rejection region for the test. Choose the correct answer below.
O A. t>1.533
O B. t< -2.132 or t> 2.132
OC. t>2.132
D. t< - 1.533
O E. t< -2.132
O F. t< - 1.533 or t> 1.533
Calculate the value of the test statistic.
t= - 2.55 (Round to two decimal places as needed.)
Make the appropriate conclusion. Choose the correct answer below.
O A. Do not reject Ho. There is sufficient evidence at the a = 0.10 level of significance to conclude that the true mean of the population is less than 6.
O B. Do not reject Ho. There is insufficient evidence at the a = 0.10 level of significance to conclude that the true mean of the population is less than 6.
CC. Reject Ho. There is sufficient evidence at the a = 0.10 level of significance to conclude that the true mean of the population is less than 6.
O D. Reject Ho. There is insufficient evidence at the a = 0.10 level 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, µ# 6. Use a = 0.10.
Transcribed Image Text:A sample of five measurements, randomly selected from a normally distributed population, resulted in the following summary statistics: x = 4.4, s = 1.4. Complete parts a through c. a. Test the null hypothesis that the mean of the population is 6 against the alternative hypothesis, µ<6. Use a = 0.10. If a = 0.10, find the rejection region for the test. Choose the correct answer below. O A. t>1.533 O B. t< -2.132 or t> 2.132 OC. t>2.132 D. t< - 1.533 O E. t< -2.132 O F. t< - 1.533 or t> 1.533 Calculate the value of the test statistic. t= - 2.55 (Round to two decimal places as needed.) Make the appropriate conclusion. Choose the correct answer below. O A. Do not reject Ho. There is sufficient evidence at the a = 0.10 level of significance to conclude that the true mean of the population is less than 6. O B. Do not reject Ho. There is insufficient evidence at the a = 0.10 level of significance to conclude that the true mean of the population is less than 6. CC. Reject Ho. There is sufficient evidence at the a = 0.10 level of significance to conclude that the true mean of the population is less than 6. O D. Reject Ho. There is insufficient evidence at the a = 0.10 level 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, µ# 6. Use a = 0.10.
If a = 0.10, find the rejection region for the test. Choose the correct answer below.
O A. t< - 1.533
B. t>1.533
O C. t< -2.132
O D. t>2.132
E. t< -2.132 or t> 2.132
OF. t< -1.533 or t> 1.533
Calculate the value of the test statistic.
t= 2.13 (Round to two decimal places as needed.)
Transcribed Image Text:If a = 0.10, find the rejection region for the test. Choose the correct answer below. O A. t< - 1.533 B. t>1.533 O C. t< -2.132 O D. t>2.132 E. t< -2.132 or t> 2.132 OF. t< -1.533 or t> 1.533 Calculate the value of the test statistic. t= 2.13 (Round to two decimal places as needed.)
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