Question 21 5 pts Free Response: Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well as on the accuracy and completeness of your results and explanations. You can type in your answers below or upload an image of your answers using the upload image icon on the toolbar above the textbox. The summary statistics for the annual number of inches of rainfall in Virginia Beach for 114 observations collected from ve different stations for the years 1980-2020 are shown below. A) Use the 1.5XIQR rule to determine if there are any outliers in the data set. B) Use the +/- 2 standard deviations from the mean rule to determine if there are any outliers in the data set. C) In 1985, the BackBay Wildlife reserve station recorded 37.25 inches of rainfall. The news media reported that 1986 was an unusually dry year. Use the information provided to comment on this reported statement. Question 22 5 pts Show all your work. Indicate clearly the methods you use, you will be scored on the correctness of your methods as well as on the accuracy and completeness of your results and explanations. You can use the equation editor in the toolbar to show calculations or submit a picture of your work using the image upload icon on the toolbar. This problem is worth 8 points but you only need to score 5 for full credit. Researchers are studying two populations of catsh; blue catsh and athead catsh. For the population of blue catsh, 50 percent of the blue catsh caught weigh more than 50 lbs. For the population of athead catsh, 40 percent of channel catsh caught weigh more than 50 lbs. Assume there are more than 1000 recorded weights for both types of catsh. A random sample of n=40 blue catsh, 23 weighed more than 50 lbs. A random sample of n=35 athead catsh, 16 weighed more than 50 lbs. LetB represent the sample proportion for blue catsh who weighed more than 50 lbs and 13F represent the sample proportion for athead catsh who weighed more than 50 lbs. A) What is the value of the difference 133 - 13F? (Round to 3 decimal places) B) What are the mean and standard deviation of the sampling distribution of the difference in sample proportions 133 - 13F? Make sure to justify your answers. C) Can it be assumed that the sampling distribution of the difference in sample proportions 3'53 - 33F is approximately normal? Justify your answer. D) Consider your answer in part A. What is the probability that 333 - 13F is greater than the value found in part A? Show your work