To test H u 100 versus H 1 H 100 a simple random sample size

To test H u 100 versus H 1: H 100, a simple random sample size of 21 is obtained from a population that is known to be normally distributed. Answer parts (a)-(d). O click here to view the t-Distribution Area in Right Tail. Ca Ifx 105.8 and s J 9.1, compute the test statistic t Round to three decimal places as needed.)

Solution

H0: mu =100

Ha: Mu not equal to 100

n = 21

As n <30, use t statistic for hypothesis testing.

Mean difference = x bar-100 = 5.8

Std error = 9.1/rt 30 = 1.661

t statistic = 5.8/1.661

= 3.491