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A recent national survey found that parents read an average (mean) of 10 books per month to their children under five years old. The population standard deviation is 5. The distribution of books read per month follows the normal distribution. A random sample of 25 households revealed that the mean number of books read last month was 12. At the .01 significance level, can we conclude that parents read more than the average number of books to their children?

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Answer #1

Sol:

H0:mu=10

H1:mu>10

alpha=0.01

z=sample mean-population mean/populationstddev/sqrt(n)

=12-10/5/sqrt(25)

=2/5/5

=2

Z=2

Using type2 error \beta = NORMALCDF(-E99,Z)

2 nd VARS>DISTR

=0.4772

ANSWER:0.4772

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