Country A, the population mean height for 3-year-old boys is 38 inches. Suppose a random sample of 15 3-year-old boys from Country B showed dependently sampled. Assume that heights are Normally distributed in the population. Complete parts a through c below. sample mean of 37.9 inches with a standard deviation of 2 inches. The boys were Họ: H2 38 D. HgiH<38 Ho:µ = 38 H:u# 38 Ho:H = 38 OF. HgiH<38 nd the test statistic. -0.19 an integer or decimal rounded to two decimal places as needed.) nd the p-value. = 0.849 ype an integer or decimal rounded to three decimal places as needed.) eject or do not reject Ho. Choose the correct answer below. O A. Reject Ho. The population mean is definitely not 38 in. on the basis of these data at a significance level of 0.05. B. Do not reject Ho. There is no reason to believe that 38 in. is not the population mean at a significance level of 0.05. C. Do not reject Ho. The population mean is definitely 38 in. on the basis of these data at a significance level of 0.05. O D. Reject Ho. There is reason to believe that 38 in. is not the population mean at a significance level of 0.05. Now suppose the sample consists of 30 boys instead of 15 and repeat the test. nd the test statistic.

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In Country A, the population mean height for 3-year-old boys is 38 inches. Suppose a random sample of 15 3-year-old boys from Country B showed a sample mean of 37.9 inches with a standard deviation of 2 inches. The boys were
independently sampled. Assume that heights are Normally distributed in the population. Complete parts a through c below.
Ho: H2 38
Ha: µ<38
Ho: µ = 38
E.
Ha: u# 38
Ho: µ= 38
Ha: µ< 38
OF.
Find the test statistic.
t= - 0.19
(Type an integer or decimal rounded to two decimal places as needed.)
Find the p-value.
p=
= 0.849
(Type an integer or decimal rounded to three decimal places as needed.)
Reject or do not reject Ho. Choose the correct answer below.
A. Reject Ho. The population mean is definitely not 38 in. on the basis of these data at a significance level of 0.05.
B. Do not reject Ho. There is no reason to believe that 38 in. is not the population mean at a significance level of 0.05.
C. Do not reject Ho. The population mean is definitely 38 in. on the basis of these data at a significance level of 0.05.
D. Reject Ho. There is reason to believe that 38 in. is not the population mean at a significance level of 0.05.
b. Now suppose the sample consists of 30 boys instead of 15 and repeat the test.
Find the test statistic.
t=
(Type an integer or decimal rounded to two decimal places as needed.)
Transcribed Image Text:In Country A, the population mean height for 3-year-old boys is 38 inches. Suppose a random sample of 15 3-year-old boys from Country B showed a sample mean of 37.9 inches with a standard deviation of 2 inches. The boys were independently sampled. Assume that heights are Normally distributed in the population. Complete parts a through c below. Ho: H2 38 Ha: µ<38 Ho: µ = 38 E. Ha: u# 38 Ho: µ= 38 Ha: µ< 38 OF. Find the test statistic. t= - 0.19 (Type an integer or decimal rounded to two decimal places as needed.) Find the p-value. p= = 0.849 (Type an integer or decimal rounded to three decimal places as needed.) Reject or do not reject Ho. Choose the correct answer below. A. Reject Ho. The population mean is definitely not 38 in. on the basis of these data at a significance level of 0.05. B. Do not reject Ho. There is no reason to believe that 38 in. is not the population mean at a significance level of 0.05. C. Do not reject Ho. The population mean is definitely 38 in. on the basis of these data at a significance level of 0.05. D. Reject Ho. There is reason to believe that 38 in. is not the population mean at a significance level of 0.05. b. Now suppose the sample consists of 30 boys instead of 15 and repeat the test. Find the test statistic. t= (Type an integer or decimal rounded to two decimal places as needed.)
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