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spayn [35]
3 years ago
12

Suppose the heights of the members of a population follow a normal distribution. If the mean height of the population is 68 inch

es and the standard deviation is 4 inches, 95% of the population will have a height within which of the following ranges?

Mathematics
2 answers:
Veseljchak [2.6K]3 years ago
5 0

Answer:

60 -76 is the range

Step-by-step explanation:

As the graph shows, if we are in 2 standard deviations of the mean, we are in (34.1 + 13.6) *2 = 47.7*2 = 95.4 %

Our mean is 68

2  standard deviations is 2 * 4 = 8

68-8 = 60

68 * 8 = 76

We need to be between 60 and 76 to have at 95% confidence interval


Irina18 [472]3 years ago
4 0

The empirical rule states that at 95% the measurements would be within 2 standard deviations of the mean.


You are given a mean of 68 inches and a standard deviation of 4.

2 times the standard deviation = 2 x 4 = 8

So 95% of the heights would be between 68-8 = 60 inches and 68+8 = 76 inches.

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