In Country A, the population mean height for 10-year-old girls is 53.6 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 of52.5 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: µ#53.6Ha: µ= 53.6B. Ho: µ= 53.6Hai µ#53.6C. Ho: µ= 53.6HaiH<53.6%3DD. Ho: µ> 53.6Hai u= 53.6E. Ho: µ< 53.6Ha: H= 53.6F. Ho: µ= 53.6Ha: u> 53.6%3DCheck the conditions to see whether the test statistic will follow a t-distribution.The sampleisrandom and the observationsindependent. The distribution of the heights is Normally distributed.areFind the test statistic.t= - 1.64 (Round to two decimal places as needed.)Find the p-value.(Round to three decimal places as needed.)

Name: In Country A, the population mean height for 10-year-old girls is 53.
Uploaded: 2024-03-20T06:46:55.000Z
Channel: Bartleby
Description: In Country A, the population mean height for 10-year-old girls is 53.6 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 of52.5 inche