STAT1123 - How Many Classes Postsecondary Students Miss Each Semester - Statistics Assignment Help

Assignment Task

1. A statistics professor is in the process of investigating how many classes postsecondary students miss each semester. To help answer this question, he took a random sample of 64 Humber College students and asked each to report the number of classes he/she had missed in the previous semester. The average number of classes missed is x = 10 classes. Assume that the population standard deviation of classes missed σ is 4 classes. Construct a 98% confidence interval for the population mean number of classes missed by all students at Humber. (Hint: Using the Z-distribution)

2. A policing researcher would like to estimate a population mean μ to within 5 units. The confidence level has been set at 95% and the population standard deviation σ is 12. Determine the sample size n. (Hint: Using the Z-distribution)

3. Domestic violence in the United States is a serious problem. Once arrested, offenders are very likely to re-offend. Domestic violence counseling programs define success when an offender completes a counseling program and goes six or more months (180 days) without re-offending. Construct a 98% confidence interval number of days to re-offend for men who repeat domestic violence: 17 17 14 31 33 35 45 65 20 58 (Hint: Using the t-distribution) (Note: Sample size n = 10, x = 33.50 days and s = 17.77 days.)

4. The average length of stay of inmates at a provincial correctional facility is believed to be at least 23 months. To test this belief, a sample of 25 inmates were randomly selected at the facility. Their mean length of stay was found to be ???????? = 20 months with a standard deviation of S = 6.5 months. Is there enough evidence (at significance level α = 1% = 0.01) to conclude that inmates spend less than an average of 23 months at the facility? (Hint: Using the student t-distribution)

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