Question

# The National Center for Health Statistics reports that the mean systolic blood pressure for all females...

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:

1. 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?

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

STD Error:

1. Determine the Decision Rule:

State the decision rule:

1. 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 %? 