Question

The heights of basketball players have an approximate normal distribution with mean, µ = 79 inches...

The heights of basketball players have an approximate normal distribution with mean, µ = 79 inches and a standard deviation, σ = 3.89 inches. For each of the following heights, calculate the z-score and interpret it using complete sentences:

a) 74 inches                  b) 87 inches                   c) 77 inches                   d) 60 inches

e) Explain, using statistical language, why the basketball player’s recorded height in part d) above is likely an outlier.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
assuming that the heights of NBA players is normally distributed with a mean of 77 inches...
assuming that the heights of NBA players is normally distributed with a mean of 77 inches and a standard deviation of 2.2 inches, calculate the following, A.what is the z-score for the height of 73inches? b. what is the proportion corresponding to a height of 80 inches c.what is the height of a player at the 15th percentile d.if we want to select only those players who are in the top 5% in terms of height, what height would we...
The following table provides the starting players of a basketball team and their heights Player A...
The following table provides the starting players of a basketball team and their heights Player A B C D E Height (in.) 75 77 79 82 87 a. The population mean height of the five players is _____ . b. Find the sample means for samples of size 2. A, B: x¯ = ___ . A, C: x¯ = ___ . A, D: x¯¯ = ___ . A, E: x¯ = ____ . B, C: x¯¯ = ____ . B,...
the heights of all female college basketball players produce a distribution that is approximately normal with...
the heights of all female college basketball players produce a distribution that is approximately normal with a mean of 68.22 and a standard deviation of 2.05 what is the probability that the height of a randomly selected female college basketball player is more than 65.8 inches what is the probability that the height of a randomly selectee female college basektball player is less than 67.2 inches what is the probability that the height of a randomly selected female college basketball...
Find the expected value and standard deviation of heights for a basketball player on Team Z...
Find the expected value and standard deviation of heights for a basketball player on Team Z given the the following information. hint: find the probability (relative frequency) for each height first: Height (x in inches) # of Players 72 1 73 3 74 3 75 5 76 6 77 5 78 3 79 1 2. How would the expected value and standard deviation change if the height for every player was was actually 1 inch taller? Provide both an explanation...
The heights of five starting players on a basketball team have a mean of 76 inches,...
The heights of five starting players on a basketball team have a mean of 76 inches, a median of 78 inches, and a range of 11 inches. a. If the tallest of these five players is replaced by a substitute who is 2inches taller, find the mean, median, and range b. If the tallest player is replaced by a substitute who is 4 inches shorter, which of the new values (mean, median, range) could you determine and what would their...
The following data values represent a sample of the heights of female college basketball players. SHOW...
The following data values represent a sample of the heights of female college basketball players. SHOW WORK. Heights in Inches 65 66 66 67 68 68 68 69 69 69 69 70 71 72 72 72 73 75 75 75 75 76 76 76 76 a) Determine (to two decimal places) the mean height and sample standard deviation of the heights. b) Determine the z-score of the data value X = 75 to the nearest hundredth. c) Using results from...
The scores on a college entrance exam have an approximate normal distribution with mean, µ =...
The scores on a college entrance exam have an approximate normal distribution with mean, µ = 75 points and a standard deviation, σ = 7 points. About 68% of the x values lie between what two values? What are the z-scores?
Heights are generally normally distributed. Men have a mean of 69.5 inches and standard deviation 2.4...
Heights are generally normally distributed. Men have a mean of 69.5 inches and standard deviation 2.4 inches. Women have a mean of 63.8 inches and standard deviation 2.6 inches. The US Air Force has a height requirement for their pilots to be between 64 inches and 77 inches. Make sure you are rounding z-scores properly to two places. Part A: Find the two z-scores for women who meet this height requirement z =  (smaller value) and z =  (larger value) Part B:...
Taller basketball players have a theoretical shooting advantage because it’s harder to block them. But can...
Taller basketball players have a theoretical shooting advantage because it’s harder to block them. But can a player’s height determine how well they shoot free throws, where there is no defender? Player Height (cm) Free Throw Shooting Percentage 198 80% 196 74% 201 83% 198 85% 188 91% 191 84% 214 68% 208 71% a) Determine the coefficient of determination and interpret its value. b) What is the equation of the regression line? Keep three decimal places for calculated values....
A)Adult men have heights with a mean of 69.0 inches and a standard deviation of 2.8...
A)Adult men have heights with a mean of 69.0 inches and a standard deviation of 2.8 inches. Find the height of a man with a z-score of 0.8214 (to 4 decimal places) B)For a 4-unit class like Statistics, students should spend average of 12 hours studying for the class. A survey was done on 29 students, and the distribution of total study hours per week is bell-shaped with a mean of 13 hours and a standard deviation of 3.2 hours....