Question

A random 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?

Answer 1

Answer:

Interval for t statistic = (-1.345, 1.345)

Step-by-step explanation:

given that a random sample of size 15 is selected from a normal population. The population standard deviation is unknown.

Since population std deviation is unknown and also sample size <30, we have to use t test only for testing of hypothesis

Given it is a two tailed test at 10% significance level.

Degree of freedom = 15-1 =14

t critical value for df 14 two tailed is

1.345

Hence our test statistic should lie between

(-1.345, 1.345)

Then null hypothesis is accepted

Other wise it is rejected.