Please help me solve these practice questions. I'll leave a good review if solved correctly. I submitted it before but the individual solved everything incorrectly. They used chat gpt. Please don't use it. Thank you.

1. Multiple Sclerosis (MS) is hard enough to manage on its own; however, in recent years MS has been linked to depression. Whether it be due to the disease itself or a side effect of drug treatments is still unclear, but the link is undeniable. Suppose in DC 25% were diagnosed with both MS and depression, and 60% had neither. The probability that someone had MS was 0.30. What is the probability a randomly chosen person in DC was diagnosed with Depression? a. 0.35 b. 0.10 c. 0.30 d. 0.75 e. 0.05

2. A researcher wants to estimate the mean systolic blood pressure of a population. A sample of 25 people is taken, and the sample mean systolic blood pressure is 120 mmHg with a standard deviation of 15 mmHg. What is the margin of error for the 95% confidence interval? a. 5 b. 6 c. 7 d. 8 e. 9

3. There is a higher rate of preterm births among African American women compared to white women in the United States. Studies show that higher levels of cortisol among African American women in the United States are associated with preterm birth and other poorer birth outcomes. There was a study conducted comparing the cortisol levels between African American women and white women in the United States. Among 100 African American women (group 1), the mean cortisol level was 7.33 with a standard deviation of 2.12. Among 100 white women (group 2), the mean cortisol level was 3.89 with a standard deviation of 1.43. Assuming the variances are unequal and a 0.5 significance level, use the confidence interval method to test the claim that African American women have different cortisol levels compared to white women in the United States. What is the standard error? a. 0.26 b. 0.19 c. 0.83 d. 0.33 e. 0.07

4. In a research study, investigators compared the mean Blood glucose levels of 24 individuals aged 20-29 who had been intermittent fasting for the past 6 months. The mean BGL was 24.6 with a standard deviation of 4.3. If the mean BGL for the general population is 26.5, using a 0.01

significance level, test the claim that the group of people who intermittent fast have a BGL that is different from those of the general population. What is the null hypothesis H0? a. x(bar) = 26.5 b. x(bar) =/ 26.5 c. ? = 26.5 d. ? =/ 26.5 e. None of the above because we need to compare the population mean to 24.6

5. Which of the following scenarios would be appropriate for a matched-pairs t test? a. A trial testing the hypothesis that students in the different school districts within a state have different average scores for a standardized test. This trial includes 12 schools. Population variances are equal. b. A trial testing the hypothesis that students in school A and school B have different average scores for a standardized test. This trial includes two schools, A and B. Population variances are equal. c. A trial of 150 hospital patients testing blood pressure before being given an injection and the patients' blood pressure after receiving an injection. Assume normal distribution. d. Both a and b are correct e. None of the above

6. Exploring the relationship between two categorical variables, the findings about a new drug trial are recorded in the table below. There are 92 volunteers with some disease. The volunteers are split into two groups randomly: control group A and the treatment group B. Volunteers in the control group receive the placebo and volunteers in the treatment group receive the new drug. You conclude that a new drug is effective if people who take the drug recover faster than those in the control group. If your drug is effective, you will invest in its production, otherwise you will look for another drug.

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