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In Country A, the population mean height for 3-year-old boys is 37 inches. Suppose a random sample of 15 3-year-old boys from Country B showed

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In Country A, the population mean height for 3-year-old boys is 37 inches. Suppose a random sample of 15 3-year-old boys from Country B showed a sample mean of 36.8 inches a standard deviation of 3 inches. The boys were independently sampled. Assume that heights are Normally distributed in the population. Complete parts a through c below. O A. Reject Ho. The population mean is definitely not 37 in. on the basis of these data at a significance level of 0.05. O B. Do not reject Ho. The population mean is definitely 37 in. on the basis of these data at a significance level of 0.05. O C. Do not reject Ho- There is no reason to believe that 37 in. is not the population mean at a significance level of 0.05. O D. Reject Ho. There is reason to believe that 37 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. 1= (Type an integer or decimal rounded to two decimal places as needed.) Find the p-value. P= (Type an integer or decimal rounded to three decimal places as needed.)In Country A, the population mean height for 3-year-old boys is 3/ inches. Suppose a random sample of 15 3-year-old boys from Country B showed a sample mean of 36.8 inches with a standard deviation of 3 inches. The boys were independently sampled. Assume that heights are Normally distributed in the population. Complete parts a through c below. O A. Reject Ho- The population mean is definitely not 37 in. on the basis of these data at a significance level of 0.05. O B. Do not reject Ho. The population mean is definitely 37 in. on the basis of these data at a significance level of 0.05. O C. Do not reject Ho. There is no reason to believe that 37 in. is not the population mean at a significance level of 0.05. O D. Reject Ho. There is reason to believe that 37 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. 1=] (Type an integer or decimal rounded to two decimal places as needed.) Find the p-value. P= (Type an integer or decimal rounded to three decimal places as needed.)

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