Question

In: Statistics and Probability

Sample size = 10. Population is normal. The sample mean is 1.3 million. Sample standard deviation...

Sample size = 10. Population is normal. The sample mean is 1.3 million. Sample standard deviation is 0.9million. Alpha ( level of significance) is 1%. Ho: Mu > or equal to 1.5 million Ha: Mu< 1.5 million a. What is the critical value? B. What is the test statistics t score? C . Do you reject or accept the null hypothesis?

Expert Solution

Ho: > = 1.5 million

Ha: < 1.5 million (Left Tailed test)

Given,

Hypothesized Mean : = 1.5 million

Sample size : n= 10

sample mean : = 1.3 million

Sample standard deviation : s = 0.9million

Alpha ( level of significance) =1%(0.01)

Degrees of freedom = n-1 = 10-1 =9

a. What is the critical value?

For Left tailed test: Critical value :(left tail)

B. What is the test statistics t score?

test statistics t score = -0.7027

C . Do you reject or accept the null hypothesis?

As Calculated Value of t is greater than Critical Value i.e. ( -0.7027>-2.8214 ); Fail To Reject Null Hypothesis i.e Accept null hypothesis.

Accept the null hypothesis

orchestra answered 1 year ago

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