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It is known that the population standard deviation of weight among females is 30. Assuming that we have a random sample of 122 and a

It is known that the population standard deviation of weight among females is 30. Assuming that we have a random sample of 122 and a sample mean of 129, what would be your 90% confidence interval estimate of the population mean weight? (Hint: use 1.65 as the critical z-value)

[122.5, 127.1]

[122.9, 130.4]

[124.5, 133.5]

[125.7, 133.6]

It is known that the population standard deviation of weight among females is 27. Assuming that we have a random sample of 150, what is the standard error of the average weight among women of a sample of this size?

1.29

2.07

2.20

2.72

It is known that the population standard deviation of weight among females is 27. Assuming that we have a random sample of 150, what is the standard error of the average weight among women of a sample of this size?

1.29

2.07

2.20

2.72

Researchers want to test the effectiveness of a new pain medication. Four hundred people were recruited to participate in the clinical trial. In clinical testing, 54 out of 201 people taking the medication reported pain symptoms. Of the other 199 people receiving a placebo, 20 reported pain symptoms. What is the estimated standard error of the difference of the two sample proportions based on pooled sample proportion?

0.039

0.041

0.043

0.047

To investigate the prevalence rate of diabetes among men in Florida, we drew a random sample of 75 men from that population and among them 25 people had diabetes. For the following hypotheses, what would be your conclusion based on the information provided? The level of significance (alpha level) is 0.05. (Hint: Depending on the direction of the alternative test, use 1.96 or -1.96 as the critical z-value)

Ho: P = 0.2 (Null)

Ha: P > 0.2 (Alternative)

Reject the null hypothesis.

Fail to reject the null hypothesis.

Cannot conclude due to the sample size and the population proportion not meeting the requirement needed for applying Central Limit Theorem.

Cannot conclude due to lack of information.

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