Question

In: Statistics and Probability

16#2 The following table provides the starting players of a basketball team and their heights Player...

16#2

The following table provides the starting players of a basketball team and their heights

Player A B C D E
Height (in.) 75 77 78 81 84

a. The population mean height of the five players is: 79

b. Find the sample means for samples of size 2.
A, B: ?¯ =
A, C: ?¯ =
A, D: ?¯ =
A, E: ?¯=
B, C: ?¯ =
B, D: ?¯ =
B, E: ?¯ =
C, D: ?¯=
C, E: ?¯=
D, E: ?¯=

For a random sample of size 2 what is the chance that the sample mean will equal the population mean? That is, P(?¯=?) =  .

For a random sample of size 2, the probability that ?¯ will be within 1 inch of ? is  .

e. Find the sample means for samples of size 4.
A, B, C, D: ?¯ =  
A, B, C, E: ?¯=
A, B, D, E: ?¯=
A, C, D, E: ?¯=
B, C, D, E: ?¯=

For a random sample of size 4 what is the chance that the sample mean will equal the population mean? That is, P(?¯=?) =

g. For a random sample of size 4, the probability that ?¯will be within 1 inch of ? is:

Solutions

Expert Solution


Related Solutions

Soma recorded in the table the height of each player on the basketball team Basketball Players’...
Soma recorded in the table the height of each player on the basketball team Basketball Players’ Heights (in inches) 66 66 68 57 64 65 67 67 64 65 Construct a normal probability distribution curve for this population! Indicate the number for the mean, 1SD, 2SD and 3SD (both sides of the mea) (1+ 6*0.5=4p)
Find the PMF where two players, Player A & Player B are playing basketball. Player A...
Find the PMF where two players, Player A & Player B are playing basketball. Player A goes 1st and has probability p1 of making a basket on any throw. Player B, who shoots second, has probability p2 of making a basket. The outcomes of the successive trials are assumed to be independent.
The distribution of heights of basketball players is assumed to be normally distributed with a mean...
The distribution of heights of basketball players is assumed to be normally distributed with a mean of 75 inches and standard deviation of 5 inches. Approximately what percent of basketball players have heights more than 90 inches? The distribution of heights of basketball players is assumed to be normally distributed with a mean of 75 inches and standard deviation of 5 inches. Approximately what percent of basketball players have heights more than 80 inches? The distribution of heights of basketball...
There are 80 players on the Rams Football Team. Assume that the list of players' heights...
There are 80 players on the Rams Football Team. Assume that the list of players' heights is a normally distributed data set. The average of their heights is a normally distributed data set. The average of their heights is 73 inches (6'1") and the standard deviation is 3 inches. a) Estimate the number of players who have height between 70 and 76 inches. b) The Rams play the Chargers, whose players heights had an average of 42 inches and a...
Following are heights, in inches, for a sample of college basketball players. 70 75 72 86...
Following are heights, in inches, for a sample of college basketball players. 70 75 72 86 78 81 86 78 81 72 73 76 77 87 88 84 80 70 82 75 Find the sample standard deviation for the heights of the basketball players.
A basketball team has 5 players, 3 in ‘‘forward” positions (this includes the ‘‘center”) and 2...
A basketball team has 5 players, 3 in ‘‘forward” positions (this includes the ‘‘center”) and 2 in ‘‘guard” positions. How many ways are there to pick a team if there are 6 forwards, 4 guards, and 2 people who can play forward or guard?
A randomly selected sample of college basketball players has the following heights in inches. 63, 62,...
A randomly selected sample of college basketball players has the following heights in inches. 63, 62, 71, 63, 63, 63, 69, 61, 68, 64, 62, 62, 65, 69, 69, 71, 66, 62, 63, 64, 66, 61, 63, 67, 65, 64, 63, 61, 68, 68, 67, 62. Compute a 93% confidence interval for the population mean height of college basketball players based on this sample and fill in the blanks appropriately.
Independent random samples of professional football and basketball players gave the following information. Heights (in ft)...
Independent random samples of professional football and basketball players gave the following information. Heights (in ft) of pro football players: x1; n1 = 45 6.34 6.50 6.50 6.25 6.50 6.33 6.25 6.17 6.42 6.33 6.42 6.58 6.08 6.58 6.50 6.42 6.25 6.67 5.91 6.00 5.83 6.00 5.83 5.08 6.75 5.83 6.17 5.75 6.00 5.75 6.50 5.83 5.91 5.67 6.00 6.08 6.17 6.58 6.50 6.25 6.33 5.25 6.67 6.50 5.84 Heights (in ft) of pro basketball players: x2; n2 = 40...
Independent random samples of professional football and basketball players gave the following information. Heights (in ft)...
Independent random samples of professional football and basketball players gave the following information. Heights (in ft) of pro football players: x1; n1 = 45 6.31 6.51 6.50 6.25 6.50 6.33 6.25 6.17 6.42 6.33 6.42 6.58 6.08 6.58 6.50 6.42 6.25 6.67 5.91 6.00 5.83 6.00 5.83 5.08 6.75 5.83 6.17 5.75 6.00 5.75 6.50 5.83 5.91 5.67 6.00 6.08 6.17 6.58 6.50 6.25 6.33 5.25 6.65 6.50 5.83 Heights (in ft) of pro basketball players: x2; n2 = 40...
The heights and weights of a random sample of male Senior HS basketball players are given...
The heights and weights of a random sample of male Senior HS basketball players are given in the table. Is there enough evidence that the heights and weights have a linear relationship? height/weight: (76,246), (72,207), (75,220), (74,200), (72,170), (71,175), (68,150), (74,210), (74,245), (72,200)
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT