An investigator wants to test the claim that there is no difference of a new weight loss medication at reducing BMI (kg/m²). Suppose the following table represents the results from a SRS of individuals enrolled in the study. Assume a normal approximation is acceptable. (a=.01) Patient BMI pre test BMI post test A 30.5 26.5 B 32.8 23.3 35.6 23.2 34.7 27.9 30.1 28.5 A) What type of t-test is this? B) Write our your null and alternative hypotheses C) Calculate a tstatl

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### Practice Problems:

An investigator wants to test the claim that there is no difference of a new weight loss medication at reducing BMI (kg/m²). Suppose the following table represents the results from a Simple Random Sample (SRS) of individuals enrolled in the study. Assume a normal approximation is acceptable. (α = 0.01)

#### Table:
| Patient | BMI pre test | BMI post test |
|---------|--------------|---------------|
| A       | 30.5         | 26.5          |
| B       | 32.8         | 28.3          |
| C       | 35.6         | 28.2          |
| D       | 34.7         | 27.9          |
| E       | 30.1         | 28.5          |

The table above lists the BMI of five patients before and after the test period involving the weight loss medication.

#### Questions:
A) What type of t-test is this?

B) Write out your null and alternative hypotheses.

C) Calculate a t-stat.

D) t-crit = ±

E) p-value =

G) Reject or fail to reject the null hypothesis.

H) Construct a 99% confidence interval and provide an interpretation. Does your interval further support your decision in the hypothesis test above?
Transcribed Image Text:### Practice Problems: An investigator wants to test the claim that there is no difference of a new weight loss medication at reducing BMI (kg/m²). Suppose the following table represents the results from a Simple Random Sample (SRS) of individuals enrolled in the study. Assume a normal approximation is acceptable. (α = 0.01) #### Table: | Patient | BMI pre test | BMI post test | |---------|--------------|---------------| | A | 30.5 | 26.5 | | B | 32.8 | 28.3 | | C | 35.6 | 28.2 | | D | 34.7 | 27.9 | | E | 30.1 | 28.5 | The table above lists the BMI of five patients before and after the test period involving the weight loss medication. #### Questions: A) What type of t-test is this? B) Write out your null and alternative hypotheses. C) Calculate a t-stat. D) t-crit = ± E) p-value = G) Reject or fail to reject the null hypothesis. H) Construct a 99% confidence interval and provide an interpretation. Does your interval further support your decision in the hypothesis test above?
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