A recent national survey found that parents read an average (mean) of 10 booksper month to their children under 5 years old. The population standard deviation is 5. The distribution of books read per month follows the normal distribution. A random sample of 25householdsrevealed that the mean number of books read last month was 12. At the 0.01 significancelevel, can we conclude that parents read more than the average number of books to their children?

a.State the null hypothesis and the alternate hypothesis.

b.State the decision rule for 0.01 significance level.(Round your answer to 2 decimal places.)

c.Compute the value of the test statistic.(Round your answer to 2 decimal places.)

d.What is the conclusion regarding the null hypothesis?

e.What is the probability of a Type II error?(Round your answer to 4 decimal places.)

Thank You!!!!