Please find attached the questions
1. The probability that you reject the null hypothesis when the null hypothesis is indeed true is called: A. Type I error B. Type II Error C. significance level D. power 2. The test statistic for a two-sided significance test for a population mean is z=- 2.12 . What is the corresponding p-value? A. 0.017 B. 0.034 C. 0.483 D. 0.983 3. Which of the following is NOT a property of the t-distribution? A. The t-distribution has degrees of freedom n1 B. The t-curve is bell-shaped and centered at 0 C. The t-curve is less spread out than a z-curve D. As the degrees of freedom increases, the spread of the corresponding t-curve decreases, and the shape of the t -curve approaches that of the z-curve. 4. The margin of error for the 95% confidence interval for a one sample t-test is given as 20. The width of the interval is: A. 5 B. 10 C. 20 D. 40 5. The minimum sample size needed to estimate a population mean within 5 confidence level when the standard deviation is 40 is: A. 62 B. 44 C. 245 D. 246 at a 95% 6. A random sample of size 49 selected from a population had a sample standard deviation, s=8.726 . What is the estimated standard deviation of x ? A. 8.726 B. 0.178 C. 1.25 D. 49 7. A theoretical population has size N=5. How many sample sizes of size n=3 are possible? A. 1 B. 2 C. 5 D. 10 8. Which of the following examples involves paired data? A. A study compared the average number of courses taken by a random sample of 100 freshmen at a university with the average number of courses taken by a separate random sample of 100 freshmen at a community college. B. A group of 100 students were randomly assigned to receive vitamin C (50 students) or a placebo (50 students). The groups were followed for 2 weeks and the proportions with colds were compared. C. A group of 50 students had their blood pressures measured before and after watching a movie containing violence. The mean blood pressure before the movie was compared with the mean pressure after the movie. D. None of the above. 9. Which statement is not true about confidence intervals? A. A confidence interval is an interval of values computed from sample data that is likely to include the true population value. B. A 99% confidence interval contains the sample estimate a greater number of times than a 95% confidence interval. C. An approximate formula for a 95% confidence interval is sample estimate margin of error. D. A 99% confidence interval procedure has a higher probability of producing intervals that will include the population parameter than a 95% confidence interval procedure. 10. A study of UG students failed ( p-value = .32) to find a difference in pulse rates between men and women. Which of the following is true? A. The null hypothesis is rejected B. It is possible that they committed a Type 1 error C. The alternative hypothesis is supported D. It is possible that they committed a Type 2 error 11. A certain population of over 100 hens produce eggs with a mean weight and standard deviation of approximately 65 g and 5 g respectively. Suppose we take random samples of 4 hens from this population and calculate x as the sample mean weight of the eggs. Use your knowledge of the Central Limit Theorem to explain whether or not we can give the sampling distribution of the sample means
