Use the central limit theorem to find the mean and standard error of the mean of the indicated sampling distribution. Then sketch a graph of the sampling distribution. The per capita consumption of red meat by people in a country in a recent year was normally distributed, with a mean of 113 pounds and a standard deviation of 38.9 pounds. Random samples of size 17 are drawn from this population and the mean of each sample is determined. ½=0 m

A sample of human brain volumes (cm³) is given below. Use the given data values to identify the corresponding z scores that are used for a normal quantile plot, then identify the coordinates of each point in the normal quantile plot. Construct the normal quantile plot, then determine whether the data appear to be from a population with a normal distribution. 1075 O A. List the z scores for the normal quantile plot. 10 (Round to two decimal places as needed. Use ascending order.) O C. z score z score 321 Identify the coordinates of each point in the normal quantile plot. Use ordered pairs of the form (x,y), where x is the sorted human brain volumes, and y is the corresponding z score. ☐☐☐☐☐☐☐☐ (Type ordered pairs. Round to two decimal places as needed. Use ascending order.) Construct the normal quantile plot. -2- -3- 900 1077 WARU 957 -2- -3+ 900 1026 X Values X Values 1077 1500 1500 Q Q OB. O D. 1443 z score z score Do the data appear to come from a normally distributed population? ܚ ܝ…

Scores for men on the verbal portion of the​ SAT-I test are normally distributed with a mean of 545   and a standard deviation of 112 . If 16 men are randomly​ selected, find the probability that their mean score is at least 590. a. Define the parameter     A. x overbar equals The mean score of 16 randomly selected men   B. x overbar equals The score of a randomly selected man   b. State the mean of x overbar ​: nothing   c. State the standard deviation of x overbar ​: nothing   ​(use 2 decimal​ places)   d. Find the​ z-score: nothing   ​(use 2 decimal​ places)   e. Find the​ probability: nothing   ​(use 4 decimal​ places)

Solve only the part a, b and c for question 10.

A population has a mean μ = 82 and a standard deviation o = 16. Find the mean and standard deviation of a sampling distribution of sample means with sample size n = 64. H = (Simplify your answer.) ...

Suppose that 50 measurements were taken and the mean was calculated to be 4.55. Assume next that one of the data items was 19.4This was assumed to be an outlier as was discarded. What would be the mean of the remaining 49 numbers? I

Assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. Draw a graph and find the probability of a bone density test score greater than - 1.59. Sketch the region. Choose the correct graph below. OA. -1.59 B. Q C. AAAA -1.59 1.59 ... The probability is (Round to four decimal places as needed.) S O D. 1,59 -1.59

Assume that a randomly selected subject is given a bone density test. Bone density test scores are normally distributed with a mean of 0 and a standard deviation of 1. Draw a graph and find Upper P 10 ​,the 10 th percentile. This is the bone density score separating the bottom 10% from the top 90%.   a. The bone density score corresponding to  Upper P 10 is ​(Round to two decimal places as​ needed.)

A normal distribution has mean 62.1 and standard deviation 2.42. Find the data value corresponding to the following value of z.   z= -1.33

Use the Central Limit Theorem to find the mean and standard error of the mean of the sampling distribution. Then sketch a graph of the sampling distribution.   The mean price of photo printers on a website is ​$227 with a standard deviation of ​$69. Random samples of size 31 are drawn from this population and the mean of each sample is determined. The mean of the distribution of sample means is nothing.