Question

Use technology and a​ t-test to test the claim about the population mean mu at the given level of significance alpha using the given sample statistics. Assume the population is normally distributed. ​Claim: mu greater than 74​; alpha=0.01    Sample​ statistics: x overbar=76.5​, s=3.4​, n=26

Answer 1

Solution:

This a right (One) tailed test.

The null and alternative hypothesis is,  

Ho: 74

Ha: 74

The test statistics,

t =( - )/ (s /n)

= ( 76.5 - 74 ) / ( 3.4 / 74 )

= 6.325

P-value = 0.0311

The p-value is p = 0.0311 > 0.01, it is concluded that the null hypothesis is fail to rejected.