Question

The college bookstore tells prospective students that the average cost of its textbooks is $92 per book, with a standard deviation of $15. The engineering students think that the average cost of their books is higher than the average for all students.

To test the bookstore's claim against their alternative, the engineering students collect a random sample of size 45, and calculate xbar = $97:34. Conduct a hypothesis test with σ = 0:05 to see if the students' claim is supported. Use the classical approach.

Answer #1

Solution :

The null and alternative hypothesis is ,

H0 : = 92

Ha : > 92

Test statistic (t) =

= ( - ) / s / n

= (97.34 - 92) / 15 / 45

Test statistic = 2.39

P-value = 0.0106

= 0.05

P-value <

Reject the null hypothesis .

There is sufficient evidence to support the claim.

The college bookstore tells prospective students that the
average cost of its textbooks for one quarter is $180 with a
population standard deviation of $22.50. A group of smart
statistics students thinks that the average cost is higher. In
order to test the bookstore’s claim against their alternative, the
students will select a random sample of size 35. Assume that the
mean from their random sample is $185.25. Perform a hypothesis test
with α = 0.05 and state your conclusion....

A researcher claims that college students walk an average of
7,700 steps per day. You do not believe this claim, and you set out
to conduct a hypothesis test. If the test statistic is equal to 1.9
and you have set up a two-tailed (or
two-sided) alterative hypothesis, what will the
p-value be?

Q) Over the past few years the percentage of students who leave
Lakeland College at the end of the first year has increased. Last
year Lakeland started a voluntary one-week orientation program to
help first-year students adjust to campus life. If Lakeland is able
to show that the orientation program has a positive effect on
retention, they will consider making the program a requirement for
all first-year students. Lakeland’s administration also suspects
that students with lower GPAs have a higher...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 4 minutes ago

asked 4 minutes ago

asked 5 minutes ago

asked 11 minutes ago

asked 17 minutes ago

asked 22 minutes ago

asked 25 minutes ago

asked 49 minutes ago

asked 53 minutes ago

asked 53 minutes ago

asked 1 hour ago

asked 1 hour ago