The mean monthly out-of-pocket cost of prescription drugs for all senior citizens in a city is $410 with a standard deviation of $81. Let x¯ be the mean of such costs for a random sample of 100 senior citizens from this city. Find the mean and standard deviation of the sampling distribution of x¯.
The mean monthly out-of-pocket cost of prescription drugs for all senior citizens in a city is...
The amounts of electricity bills for all households in a particular city have an approximately normal distribution with a mean of $145 and a standard deviation of $28. Let ū be the mean amount of electricity bills for a random sample of 20 households selected from this city. Find the mean and standard deviation of X. Round your answers to the nearest integer, if required. Mj = $ll Gü = $ Comment on the shape of the sampling distribution of...
A survey found that 60% of American victims of health care fraud are senior citizens. If 10 victims are selected at random, find (A) the mean number of victims who are senior citizens. (B) the probability that exactly 3 victims are senior citizens. (C) the probability that at most 6 victims are senior citizens. (D) the probability that all but one victim are senior citizens. in words, what is the success and failure part of this binomial problem? also can...
The city of Squaretown wants to build a recreation center for senior citizens who live in three low-income apartment buildings (A, B, and C). Squaretown is a town with only horizontal and vertical streets and so each city block is a perfect square. Each unit represents one city block. The table below provides the map coordinates of each apartment building and the number of senior citizens in each building: Apartment building Map coordinates (x, y) Number of Senior Citizens A...
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At least one of the answers above is NOT correct. (1 point) A population of N = 16500 has o = 75. Calculate oz for each of the following sample sizes. a. n = 4470:0 = 1.122 b. n = 825:03 = 2.611 Note: You can earn partial credit on this problem. (1 point) According to the University of Wisconsin Dairy Marketing and Risk Management Program, the average retail price of a gallon of...
3. The heights of all adults in a large city have an approximately normal distribution with a mean of 68 inches and a standard deviation of 4 inches. a) Find the probability that a randomly chosen height is less than 66 inches. b) Write the sampling distribution of sample mean for any sample size. Find the probability that the mean height of a random sample of 100 adults would be between 67.5 inches and 69 inches.
The monthly utility bills in a city are normally distributed, with a mean of $100 and a standard deviation of $13. Find the probability that a randomly selected utility bill is (a) less than $66, (b) between $81 and $110, and (c) more than $120.
Question 10 14 pts Suppose X is a random variable with mean 100 and standard deviation 15. Suppose that we select random samples of size n=81 to construct a sampling distribution of means. Then which of the following is NOT true? Given enough samples, the shape of the sampling distribution will be approximately normal The standard deviation of the sampling distribution is 15/9 The mean of the sampling distribution is 100 The mean of any random sample will be 100...
A random sample of 100 observations is drawn from a population with a mean equal to 20 and standard deviation equal to 16. Let Xbar denote the sample mean. (a) Find the mean and standard deviation of the sampling distribution of Xbar (b) Describe the shape of the sampling distribution of Xbar. Does your answer depend on the sample size? (c) Find P(Xbar <16). P(Xbar >23). P(16< Xbar <23). Thank You!
City A $399.17 City B $436.53 The data to the right show the average monthly utility bills for a random sample of households in City A and for a random sample of households in City Sample size Sample mean 32 36 B. Population standard deviation $50 $47 a. Perform a hypothesis test using a 0.10 to determine if there is a difference between the mean utility bills in these two cities. b. Determine the p-value and interpret the results. a....
The average monthly mortgage payment for all homeowners in a city follows a normal distribution with a mean of $2850 and a standard deviation of $420. Find the probability that the monthly mortgage paid by a randomly selected homeowner from this city is: less than $2100 more than $2600 between $3200 and $3700