Question

Part 1: Find the standardized test statistic for testing a claim H₀: μ ≤ 26.8 at significance α = 0.05 given a sample with n = 36 and  = 28.7, if the population is normally distributed and σ = 10.30.

Round your answer to three decimal places.

Part 2:To complete the hypothesis test from the previous question, we need to compare the calculated test statistic against the critical value _______

Select one:

t = 1.690

z = −1.645

z = 1.645

t = ±2.030

z = ±1.960

t = 1.688

Answer 1

Part 1)

We have given,          
Population mean for given example =26.8  
Sample mean=28.7  
Population standard deviation =10.3  
Sample size for given example =   36  

Z test statistic formula


=1.107      

Part 2) Z=1.645..................by using Z table or Excel =NORMSINV(1-0.05)

Since, it has right tailed alternative hypothesis