(d) What is the probability that a random sample of 16 people will exceed the weight limit? An elevator at a college has a posted weight limit of 2,700 pounds, and a maximum capacity of 16 people. We determined that if the sample mean x 2 168.75 for a particular sample of 16 people, then the weight capacity will be exceeded. We are asked to determine the probability that a random sample of 16 people will exceed the weight limit. We previously determined the mean and standard deviation of the sampling distribution of x. M- - 165 8.25 We are given that the distribution of weights of individuals on campus is approximately normal, so the sampling distribution of x is approximately normal also. We can calculate the desired probability by standardizing. Recall the standardization formula. In other words, we need to find the following. (Round your answer to four decimal places.) - 165 P(X 2 168.75) -z2 8.25 -1- (25[

About 7% of the population has a particular genetic mutation. 100 people are randomly selected. Find the mean for the number of people with the genetic mutation in such groups of 100. (Round to 2 decimal places if possible.)

Given a normal population whose mean is 580 and whose standard deviation is 37, find each of the following: A. The probability that a random sample of 5 has a mean between 583 and 593.Probability =  B. The probability that a random sample of 17 has a mean between 583 and 593.Probability =  C. The probability that a random sample of 28 has a mean between 583 and 593.Probability =

# 3. Use Minitab to simulate 1000 rolls of five dice. Find the number of times that the sum of the five dice is exactly 20. Enter that value here. frequency approach to estimate the probability of getting a 20 when five dice are rolled. Enter the estimated probability here. Based on that result, use the relative Write a sentence or two explaining the difference (advantage or disadvantage) of the classical approach to probability compared to the relative frequency approach to probability. Refer to the results from #1, 2, 3 above in your explanation.

Mensa requies a test score to be in the top 2%. The test has a mean of 100 and Std. Dev. of 15.and scores are normally distributed. If 4 subjects take the test and they have a mean of 132 but the individual scores are lost, can we conclude that all 4 of them are eligible for Mensa?

You are a doctor ,a and on average you meet with 30 patients per day. Assuming the NHANES dataset is representative of your patient population, calculate the following.  1. The probability of a single individual having health insurance. = 0.8807812125569134 2. The probability that 3 people in a row will not have health insurance. 3. The probability that 1/3 of your 30 patients for the day do not have health insurance

In anticipation of an upcoming election, officials in Rising Falls County are looking at the distance from each voter's home to that voter's nearest polling station. Assume that the population of all such distances for voters in Rising Falls County is approximately normally distributed. An article for the newspaper Politically Sound claimed that the mean of this population is 5.15 km. You want to test this claim, so you select a random sample of 23 Rising Falls County voters, and for each you record the distance the voter lives from their nearest polling station. Follow the steps below to construct a 90% confidence interval for the population mean of all the distances voters in Rising Falls County live from their nearest polling station. Then state whether the confidence interval you construct contradicts the reporter's claim. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results for your random sample. Take Sample Sample size: П Point estimate: 0…

According to Reader's Digest,  44% of primary care doctors think their patients receive unnecessary medical care. Use the z-table. a. Suppose a sample of 260 primary care doctors was taken. Show the sampling distribution of the proportion of the doctors who think their patients receive unnecessary medical care. E(p)=  (to 2 decimals)    (to 4 decimals) b. What is the probability that the sample proportion will be within  ±0.03 of the population proportion? Round your answer to four decimals.   c. What is the probability that the sample proportion will be within ±0.05  of the population proportion? Round your answer to four decimals.   d. What would be the effect of taking a larger sample on the probabilities in parts (b) and (c)? Why? The probabilities would - Select your answer -increasedecreaseItem 5 . This is because the increase in the sample size makes the standard error, ,

Suppose there are 5 students in a room. The mean age is 19.8 years, and the median age is 19. If the youngest person leaves and is not replaced by another person, what happens to the mean and the median? O The mean and median increase. The mean increases, and the median either increases or stays the same. The mean increases, but it is impossible to determine whether the median increases, decreases, or stays the same. The mean increases, and the median stays the same. The median increases, and the mean either increases or stays the same.

3. Help