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assginment #3 stat

Assignment 1:
 Hypothesis Testing

You have collected a random sample of 250 freshmen students on their final GPA in the spring of 2022. The descriptive statistics are shown in the following table:

Sample size

Mean GPA

Stand. Deviation

250

3.69

0.55

The university’s GPA of freshmen students is 3.15.

You have hypothesized that the mean GPA of your sample is greater than the university’s GPA. 

1. Run a test of your hypothesis at 5% level of significance. Follow all the steps of hypothesis Testing (10 points).

2. Write the conclusion. (5 points). 

 

Assignment 2:
 Hypothesis Testing

The National Institutes of Health (NIH) reports that the prevalence of hypertension (high blood pressure) among older adults is 60% (0.60). A study was conducted in Kentucky to assess the prevalence of hypertension. The prevalence of hypertension among older adults are shown in the table below:

Total number of adults in the sample

Number of adults with hypertension

690

448

Conduct a test of hypothesis at 5% significance level to show whether the prevalence of hypertension among the older adults in Kentucky is greater or less to the NIH findings. (
Note: The alternative hypothesis (H1: μ0 ≠ 0.60).  It may be greater (>) or less (<). This is a two-tailed test; For significance level 
See Table 1C).  

1. Run a test of your hypothesis at 5% level of significance. Follow all the steps of hypothesis Testing (10 points).

2. Write the conclusion. (5 points). 


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