Are you smarter than a second-grader?A random sample of

63

second-graders in a certain school district are given a standardized mathematics skills test. The sample mean score is

x = 52.Assume the standard deviation of test scores is =11.The nationwide average score on this test is

50

.The school superintendent wants to know whether the second-graders in her school district are different from the nationwide average. Use the = 0.10 level of significance and the critical value method.

Find the null and alternate hypothesis:

Ho:

H1:

Find the criticalvalue(s).Round the answer(s) to three decimalplaces,ifnecessary.If there is more than one criticalvalue,separate them withcommas.

Critical value(s):

Part 3 of 5

(b) Compute the value of the test statistic. Round the answer to at least two decimal places.

Part 4 of 5

Determine whether to reject

H0:

Part 5 of 5

(c) State a conclusion.

There is or is not? enough evidence to conclude that the second-graders in the superintendent's school district are different from the nationwide average.