Problem #16: Consider the data set that is summarized in the R output below. It is a summary of a data set consisting of [2 marks] weights of females (F) and males (M). Given that there are no outliers in the data set, estimate the sample standard deviation for the combined data. M a2 89 137 110 151 Med 128 166 Q3 143 187 al 178 237 Problem #16: answer correct to 2 decimals Save Problem #17: Suppose that a collection of 35 pea plants from one of Mendel's experiments had 17 that were tall plants with green pods, 10 that were tall with yellow pods, 5 that were short with green pods, and 3 that were short with [2 marks] yellow pods. If three of these plants are randomly selected, find the probability that exactly 2 of them are tall with yellow pods. Problem # 17: answer correct to 4 decimals Save Problem #18: The time that it takes an individual popcorn kernel to pop conforms closely to a normal distribution. Suppose that the mean time to popping is 175 seconds, with a standard deviation of 88 seconds. What percentage of [2 marks] popcorn kernels take longer than 217 seconds to pop? Problem #18: Answer as a percentage, correct to 2 decimals SaveProblem #7: Consider the data set that is summarized in the R output below. Approximately how many observations in Sample 1 were of at least 42.76? [2 marks] n mean StDev Minimum 01 Median 93 Sample 1 95 68 . 52 9. 19 38 . 05 42 . 76 53 . 45 82. 91 Sample 2 55 63 . 58 10 . 00 33 . 56 38 . 58 47 . 05 76.93 Problem #7: Save Problem #8: Past records show that on average 1.2 people per week are admitted to a particular hospital for Covid-19. Assuming that the number of people admitted for Covid-19 each week follows a Poisson distribution, find the [2 marks] probability that at lest one person will be admitted to that hospital in the next week. Problem #8: answer correct to 4 decimals Save Problem #9: Suppose that in a certain population of blue jays the bill lengths are normally distributed with mean 20.6 mm and standard deviation 0.8 mm. In a sample of 12 such blue jays, find the probability that the average bill length is [2 marks] greater than 20.16 mm Problem #9: answer correct to 4 decimals Save