Question

In: Statistics and Probability

Consider the following hypothesis test: Ho: u= 45 Ha: u (no equal to) 45 Assume the...

Consider the following hypothesis test:

Ho: u= 45

Ha: u (no equal to) 45

Assume the population standard deviation is 5.2. A sample of 36 is used, the sample mean is 44. Find the test statistic, p-value and state your conclusion. Use a= 0.05

a. Test statistic

b. P-Value:

c. Conclusion

Solutions

Expert Solution

Solution :

This is the two tailed test .

The null and alternative hypothesis is ,

H0 : = 45

Ha : 45

Test statistic = z

= ( - ) / / n

= (44 - 45) / 5.2 / 36

Test statistic = -1.154

P(z < -1.15) = 0.2486

P-value = 0.2486

= 0.05

P-value >

Failed to reject the null hypothesis .

orchestra answered 1 year ago

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