Question

End of Section Problem 9.4 Use the data given to test the following hypotheses. Assume the data are normally distributed in the population. Ho : ?-7.48 HH<7.48 Tab (Round your answer to 2 decimal places.) The value of the test statistic is and we

Answer 1

Solution :

Given that,

$\bar x$ = 6.91

$\mu$ = 7.48

$\sigma$ = 1.21 and n = 24

z = ( $\bar x$ - $\mu$ ) / $\sigma$ / $\sqrt$ n = (6.91 - 7.48) / 1.21 / $\sqrt$ 24 = -2.31

This is the left tailed test .

P(z < -2.31) = P(z < -2.31) = 0.0104

Here , P-value > $\alpha$

We do not reject the null hypothesis .

P-value = p = 0.0301