Question

The National Survey of Student Engagement reported that the mean number of hours spent studying per week for nursing majors is 18. Suppose a medical researcher obtained a random sample of 100 nursing majors, which yielded a sample mean study time of 19 19 hours. Assume the population standard deviation σ=10 hours. Test, using level of significance ?=0.05, whether the population mean study time for nursing majors is greater than 18 hours per week.

?crit=

Find the test statistic ?data.

?data=

Answer 1

Solution :

Given that,

Population mean = = 18

Sample mean = = 19

Population standard deviation = = 10

Sample size = n = 100

Level of significance = = 0.05

This is a rihgt tailed test.

The null and alternative hypothesis is,

Ho: 18

Ha: > 18

Critical value of  the significance level is α = 0.05, and the critical value for a right-tailed test is

= 1.645

The test statistics,

Z =( - )/ (/n)

= ( 19 - 18 ) / ( 10 / 100)

= 1

Since it is observed that z = 1 < = 1.645, it is then concluded that the null hypothesis is fails to reject.

Conclusion :

It is concluded that the null hypothesis Ho is fails to reject.. Therefore, there is enough evidence to claim that the population

mean μ is greater than 18, at the 0.05 significance level.