a. The physical plant at the main campus of a large state university recieves daily requests to replace florecent lightbulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 54 and a standard deviation of 7. Using the 68-95-99.7 rule, what is the approximate percentage of lightbulb replacement requests numbering between 40 and 54?

b. A population of values has a normal distribution with=108.8 and =45.8

. You intend to draw a random sample of size n=131

.

What is the mean of the distribution of sample means?

x=

What is the standard deviation of the distribution of sample means?

(Report answer accurate to 2 decimal places.)

x=

c. In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 57 inches, and standard deviation of 2.5 inches.

A) What is the probability that a randomly chosen child has a height oflessthan 53.95 inches?

Answer=(Round your answer to 3 decimal places.)

B) What is the probability that a randomly chosen child has a height ofmorethan 50.5 inches?

Answer=(Round your answer to 3 decimal places.)

d. The p-value for a hypothesis test turns out to be 0.04014. At a 8% level of significance, what is the proper decision?

• RejectH0
• Fail to rejectH0