Find the one sample ttest value comparing the null hypothesi

Find the one sample t-test value comparing the null hypothesis of 60 to the mean of the following sample: 51, 51, 60, 66, 51, 62, 72, 67, 59. Tip: once you enter in data for the y variable, use the following R comand: t.test(y, mu =60).

Answer choices are as follows:

A. -0.996

B. -1.938

C. -0.043

D. -1.601

Solution

Answer C . - 0.043

Solution :

Data : 51, 51, 60, 66, 51, 62, 72, 67, 59

Mean X = 59.89

SD =7.72

n = 9

T-test:

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

= (59.89 - 60) / (7.72 / sqrt(9))

= - 0.043 Answer C