Question

1. The National Center for Health Statistics reports that the mean systolic blood pressure for all females aged 45 to 54 years is 130 with a population standard deviation of 9. A researcher randomly samples 64 female executives aged 45 to 54 years and determines their mean systolic blood pressure to be 132. Using this sample result, conduct a hypothesis test to determine if the researcher can conclude that female executives aged 45 to 54 years have a higher mean systolic blood pressure at α = 5 %?

1. State the hypotheses (in words & symbols):

H0:

Ha:

2. Determine the model to test H0

1. Can you use a normal distribution for the Sampling Distribution model to perform this test? Please explain. If not, then what distribution could you use?

2. Using the appropriate notation, state the MEAN & STD ERROR of the sampling distribution: Mean:

STD Error:

3. Determine the Decision Rule:

State the decision rule:

4. Analyze the sample data: Using the appropriate notation, state the sample result of the test, p-value and the test statistic.

sample result (use appropriate notation) is:

p-value ( to 4 decimal places ) is:

test statistic (use appropriate notation) is:

Hypothesis Testing Model:

State the Conclusion:

Based on this sample result, can the researcher conclude that female executives aged 45 to 54 years have a higher mean systolic blood pressure at α = 5 %?

YOU MUST EXPLAIN YOUR ANSWER

Answer 1