In CountryA, the population mean height for10-year-old girls is 54.9 inches with a standard deviation of 2.2 inches. Suppose a random sample of 1510-year-old girls from Country B is taken and that these girls had a sample mean height of 53.7 inches with a standard deviation of 2.7 inches. Assume that heights are Normally distributed. Complete parts(a) through(c) below.

Find the test statistic.

Find thep-value.

b. Now suppose the sample consists of 50 girls instead of 15. Repeat the test.

Find the test statistic.

Find thep-value.