The basketball team has four players who can play the center position. Their heights (in
inches) are 78, 80, 77, and 80.
a) List all 6 possible SRSs of size n = 2, calculate the mean height for each sample.
b) Display the sampling distribution of the sample mean on a dotplot.
c) If the sample size was increased to n = 3, what would happen to the sampling distribution?

(statistics)

Respuesta :

The mean height for each sample from the basketball team will be 79, 77.5, 79, 78.5, 80, and 78.5

How to calculate mean?

For sample 1, the mean will be:

= (78 + 80)/2 = 79.

For sample 2, the mean will be:

= (78 + 77)/2 = 77.5

For sample 3, the mean will be:

= (78 + 80)/2 = 79

For sample 4, the mean will be:

= (80 + 77)/2 = 78.5

For sample 5, the mean will be:

= (80 + 80)/2 = 80

For sample 6, the mean will be:

= (77 + 80)/2 = 78.5

When the sample size was increased to n = 3, the shape of the sampling distribution becomes bell shaped on the population mean.

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