Test the claim about the population mean, μ, at the given level of significance using the given sample statistics.
Claim: μ=50 α=0.05, σ=3.74.
Sample statistics:
x¯(line over x) =48.4, N=77
To test the claim, complete all of the following steps.
1) Write the null and alternative hypotheses.
2) Calculate the standardized test statistic.
3) Determine the critical value.
4) Determine the conclusion. Do you reject the null hypothesis or do you fail to reject the null hypothesis?