According to an online source, the average shower in a country lasts 7.8 minutes. Assume that this is correct and assume the standard deviation of 2 minutes. Complete parts (a) through (c) below. r\\..... E a. Do you expect the shape of the distribution of shower lengths to be Nomal, rightskewed, or left-skewed? Explain your reasoning. The distribution will be right-skewed because the values will be mostly small but there will be a few very large values. b. Suppose we survey a random sample of 100 people to nd the length of their last shower. We calculate the mean length from this sample and record the value. We repeat this 500 times. What will be the shape of the distribution of these sample means? The diSlfibUtiOH Will be alJll'C'Xil'ately Normal because the values will be distributed symmetrically. c. Refer to part (b). What will be the mean and standard deviation of the distribution of these sample means? The mean will be :I I3 and the standard deviation will be |:| (Type integers or decil decimal place as needed.) minutes2 minutes According to an online source, the average shower in a country lasts 7.8 minutes. Assume that this is correct and assume the standard deviation of 2 minutes. Complete parts (a) through (c) below. a. Do you expect the shape of the distribution of shower lengths to be Normal, right-skewed, or leftskewed? Explain your reasoning. The distribution will be right-skewed because the values will be mostly small but there will be a few very large values. h. Suppose we survey a random sample of 100 people to nd the length of their last shower. We calculate the mean length from this sample and record the value. We repeat this 500 times. What will be the shape of the distribution of these sample means? The distribution will be approximately Normal because the values will be distributed symmetrically. c. Refer to part (b). What will be the mean and standard deviation of the distribution of these sample means? The mean will be D l: and the standard deviation will be D E (Type integers or decimals rounded to one decimal place as needed.) minutesz. minutes