Arandom sample of size 15 is selected from a normal population. the population standard deviation is unknown. assume the null hypothesis indicates a two-tailed test and the researcher decided to use the 0.10 significance level. for what values of t will the null hypothesis not be rejected? a. to the left of -1.645 or to the right of 1.645b. to the left of -1.345 or to the right of 1.345c. to the left of -1.282 or to the right of 1.282d. between -1.761 and 1.761

D. ​Between -1.761 and 1.761

Step-by-step explanation:

T-table need to be used for the values of t to reject or not to reject the null hypothesis.

Since the sample size is 15, degrees of freedom is 15-1=14

Two tailed t-value at 0.10 significance level and 14 degrees of freedom is 1.761.

Therefore we fail to reject the null hypothesis for t-values between -1.761 and 1.761, since these values does not fall in the critical region.

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