Question

A random sample of 60 second graders in a certain school district are given a standardized
math skills test. The sample mean score is 52. Assume that the standard deviation of test scores
is σ = 15. The nationwide average is 50. The School superintendent wants to know whether the
second graders in her school district have greater math skills than the nationwide average.

a) Write the hypothesis test.

b) What kind of test?

c) Find the standard deviation in play.

d) Draw the bell curve relative to H 0 .

e) Find the z score for 51.5 pounds.
f) Draw the p-value region on the standard bell curve.

g) Calculate the p-value.

h) What is the result at the α = .01 level?

i) Describe in words the result.

Answer 1