In Country A, the population mean height for 10-year-old girls is 54.9 inches with a standard deviation of 1.9 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 53.6 inches with a standard deviation of 2.2 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. Ο Α. Ηο: μ = 54.9 Ha:μ>54.9 D. Ho: μ> 54.9 H₂: μ = 54.9 B. Ho: μ = 54.9 Ha: μ#54.9 E. Ho: μ = 54.9 Hg:μ <54.9 Check the conditions to see whether the test statistic will follow a t-distribution. The sample is random and the observations are Find the test statistic. t= -2.29 (Round to two decimal places as needed.) Find the p-value. C. Ho: μ#54.9 Ha: μ = 54.9 p = 0.038 (Round to three decimal places as needed.) Interpret the results of the test. Since the p-value is less than or equal to the significance level, F. Ho: μ<54.9 H₂: μ = 54.9 independent. The distribution of the heights is Normally distributed. reject Ho. There is sufficient evidence to conclude that