Discuss the below:
Temperature measurements are recorded at 40 randomly selected different locations for a particular city. A sample mean of 20 degrees Celsius is obtained with a standard deviation of 1.5 degrees.. There are no outliers in the sample measurements. Test the claim that the population mean is 21 degrees Celsius. Use a 0.05 significance level.
a) Ho: H1:
b) State the requirements for this test.
c) What are the critical values of the test statistic?
d) What is the calculated value of the test statistic?
e) What is the p-value of the test statistic?
f) Label the diagram to the right and shade the rejection region(s).
g) State and support your decision about the null hypothesis.
h) Construct a 95% confidence interval for the mean temperature in the city.
i) Based on the hypothesis test and confidence interval what can you conclude about the average temperature in this city?