In 2015, the mean number of books that college students would buy was 35. With the use of Open Educational Resources, it is believed that this number has been decreasing. A recent sample of 80 college students found a sample mean of 34 books and a sample standard deviation of 4.5 books. We will perfrom a hypothesis test to determine if this is strong evidence that the mean number of books that college students purchase is decreasing and the use of Open Educational Resources is increasing. Write your hypotheses:Ho: ? ✓ ? ♥HA: ? ?Find the P-value: Type your answer as a decimial rounded to three decimal places. Do not type apercentage or a percent sign.P-value=Using an a level of 5%, you shouldO Fail to Reject HoO Accept HoReject Ho and Accept HAState your conclusions:Wedo notdohave strong evidence that theO proportion of book purchased by college students in now less than 35mean number of book purchased by college students in now less than 35mean of book purchased by the sampled college students in now less than 34mean number of book purchased by college students in now greater than 35mean of book purchased by college students in now less than 34

Answered: In 2015, the mean number of books that…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 26PFA

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In 2015, the mean number of books that college students would buy was 35. With the use of Open Educational Resources, it is believed that this number has been decreasing. A recent sample of 80 college students found a sample mean of 34 books and a sample standard deviation of 4.5 books. We will perfrom a hypothesis test to determine if this is strong evidence that the mean number of books that college students purchase is decreasing and the use of Open Educational Resources is increasing.

Write your hypotheses:
Ho: ? ✓ ? ♥
HA: ? ?
Find the P-value: Type your answer as a decimial rounded to three decimal places. Do not type a
percentage or a percent sign.
P-value=
Using an a level of 5%, you should
O Fail to Reject Ho
O Accept Ho
Reject Ho and Accept HA
State your conclusions:
We
do not
do
have strong evidence that the
O proportion of book purchased by college students in now less than 35
mean number of book purchased by college students in now less than 35
mean of book purchased by the sampled college students in now less than 34
mean number of book purchased by college students in now greater than 35
mean of book purchased by college students in now less than 34

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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