Find the one sample ttest value comparing the null hypothesi

Find the one sample t-test value comparing the null hypothesis of 62 to the mean of the following sample: 39, 35, 25, 51, 52, 34, 49, 34, 68. Tip: once you enter in data for the y variable, use the following R comand: t.test(y, mu =62).

Answer choices are as follows:

A. -3.846

B. -5.916

C. -4.353

D. -4.198

Solution

Answer C . - 4.353

Solution :

Data : 39, 35, 25, 51, 52, 34, 49, 34, 68

Mean X = 43

SD =13.095

n = 9

T-test:

t = (X - mu) / (SD/sqrt(n))

= (43 - 62) / (13.095 / sqrt(9))

= - 4.353 Answer C