Discuss the below:
Hypothesis Testing for the Mean (Large Samples)
Use the method specified to perform the hypothesis test for the population mean μ. WeatherBug say that the mean daily high for December in a large Florida city is 76°F. WFLA weather suspects that this temperature is not accurate. A hypothesis test is performed the determine if the mean is actually lower than 76°F. Assume that the population standard deviation of σ = 5.6°F. A sample of mean daily temperatures for December over the past 40 years gives x‾=74°F. At α = 0.01, does the data provide sufficient evidence to conclude that the mean temperature is lower than 76°F.
a. Use the critical value z0 method from the normal distribution.
1. H0 :
Ha :
2. α=
3. Test statistics:
4. P-value or critical z0 or t0.
5. Rejection Region:
6. Decision:
7. Interpretation:
b. Use the P-value method.
1. H0 :
Ha :
2. α =
3. Test statistics:
4. P-value or critical z0 or t0.
5. Rejection Region:
6. Interpretation: