In Country A, the population mean height for 10-year-old girls is 54.2 inches with a standard deviation of 2.1 inches. Suppose a random sample of 15 10-year-old girls from Country B is taken and that these girls had a sample mean height of 53.9 inches with a standard deviation of 2.6 inches. Assume that heights are Normally distributed. Complete parts (a) through (c) below. a. Determine whether the population mean for height for 10-year-old girls from Country B is significantly different from the Country A population mean. Use a significance level of 0.05. Determine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: H = 54.2 O B. Ho: H > 54.2 O C. Ho: H 54.2 Ha: H = 54.2 Check the conditions to see whether the test statistic will follow a t-distribution. The sample is random and the observations are independent. The distribution of the heights is Normally distributed. Find the test statistic. t= -0.45 (Round to two decimal places as needed.) Find the p-value. p = 0.662 (Round to three decimal places as needed.) Interpret the results of the test. Since the p-value is greater than the significance level, do not reject Ho. There is insufficient evidence to conclude that the height for 10-year-old girls from Country B is significantly different from the Country A population mean at a significance level of 0.05. b. Now suppose the sample consists of 35 girls instead of 15. Repeat the test. Determine the null and alternative hypotheses. Choose the correct choice below. O A. Ho: H # 54.2 O B. Ho: H = 54.2 C. Ho: H = 54.2 Ha: H = 54.2 Ha: H > 54.2 Ha: H # 54.2 O D. Ho: H > 54.2 O E. Ho: H = 54.2 OF. Ho: H