Question

# Test Ho: µ =100; H1: µ < 100, using n = 36 and alpha = .05...

Test Ho: µ =100; H1: µ < 100, using n = 36 and alpha = .05 If the sample mean=106 and the sample standard deviation = 15, which of the following is true?

• A. test statistic = 2.4; the critical value = -1.69; we fail to reject Ho.

• B. test statistic = 1.96; the critical value = -1.69; we fail to reject Ho.

• C. test statistic = 2.40; the critical value = -1.69; we reject Ho.

• D. test statistic = 2.40; the critical value = 1.69; we reject Ho

the correct option be:-

A. test statistic = 2.4; the critical value = -1.69; we fail to reject Ho.

[explanation:-

hypothesis:-

given data are:-

sample mean () = 106

sample sd (s)=15

sample size (n) =36

level of significance () = 0.05

here we will do 1 sample t test for mean.

test statistic be:-

degrees of freedom = (n-1)=(36-1)=35

t critical value for 95% confidence level = -1.69

[ using t distribution table for df = 35,alpha=0.05, left tailed test ]

rejection region:-

reject the null hypothesis if,

decision:-

so, we fail to reject the null hypothesis. ]

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