7.) The manager at a movie theater tells customers that the average price of its popcorn is $8.35. A group of smart statistics students thinks that the average price is higher. In order to test the theater's claim against their alternative, the students will select a random sample of 200 popcorn orders. Assume that the mean popcorn price from their random sample is $8.50 and the standard deviation is $0.95. A hypothesis test is performed at a a = 0.05 significance level. Use the following statistical output to choose the answer that best describes the results of the test. Sample SD 0.95 Test statistic 2.23 N Sample Mean p-value 200 8.50 0.013 a) For a right-tailed hypothesis test, in order to reject the null hypothesis the p-value > a. Based on our sample, the p-value is not greater than a. Therefore, there is insufficient evidence to support the statistics students' claim that the average price of popcorn is higher than $8.35 at a 0.05 significance level. b) For a right-tailed hypothesis test, in order to reject the null hypothesis the critical value is greater than the test statistic (z, >zo). Based on our sample, the critical value is not greater than the test statistic. Therefore, there is insufficient evidence to support the statistics students' claim that the average price of popcorn is higher than $8.35 at a 0.05 significance level. c) Based on our sample, there is sufficient evidence to support the statistics students' claim that the average price of popcorn is higher than $8.35 at a 0.05 significance level. d) Based on our sample, there is sufficient evidence to support the statistics students' claim that the average price of popcorn is higher than $8.50 at a 0.05 significance level. Answer:
7.) The manager at a movie theater tells customers that the average price of its popcorn is $8.35. A group of smart statistics students thinks that the average price is higher. In order to test the theater's claim against their alternative, the students will select a random sample of 200 popcorn orders. Assume that the mean popcorn price from their random sample is $8.50 and the standard deviation is $0.95. A hypothesis test is performed at a a = 0.05 significance level. Use the following statistical output to choose the answer that best describes the results of the test. Sample SD 0.95 Test statistic 2.23 N Sample Mean p-value 200 8.50 0.013 a) For a right-tailed hypothesis test, in order to reject the null hypothesis the p-value > a. Based on our sample, the p-value is not greater than a. Therefore, there is insufficient evidence to support the statistics students' claim that the average price of popcorn is higher than $8.35 at a 0.05 significance level. b) For a right-tailed hypothesis test, in order to reject the null hypothesis the critical value is greater than the test statistic (z, >zo). Based on our sample, the critical value is not greater than the test statistic. Therefore, there is insufficient evidence to support the statistics students' claim that the average price of popcorn is higher than $8.35 at a 0.05 significance level. c) Based on our sample, there is sufficient evidence to support the statistics students' claim that the average price of popcorn is higher than $8.35 at a 0.05 significance level. d) Based on our sample, there is sufficient evidence to support the statistics students' claim that the average price of popcorn is higher than $8.50 at a 0.05 significance level. Answer:
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:7.) The manager at a movie theater tells customers that the average price of its popcorn is
$8.35. A group of smart statistics students thinks that the average price is higher. In order to
test the theater's claim against their alternative, the students will select a random sample of
200 popcorn orders. Assume that the mean popcorn price from their random sample is $8.50
and the standard deviation is $0.95. A hypothesis test is performed at a a = 0.05 significance
level. Use the following statistical output to choose the answer that best describes the results
of the test.
Sample Mean
Sample SD
Test statistic
p-value
200
8.50
0.95
2.23
0.013
a) For a right-tailed hypothesis test, in order to reject the null hypothesis the p-value > a.
Based on our sample, the p-value is not greater than a. Therefore, there is insufficient evidence
to support the statistics students' claim that the average price of popcorn is higher than $8.35 at
a 0.05 significance level.
b) For a right-tailed hypothesis test, in order to reject the null hypothesis the critical value is
greater than the test statistic (z >zo). Based on our sample, the critical value is not greater than
the test statistic. Therefore, there is insufficient evidence to support the statistics students' claim
that the avera
price of popcorn is higher than $8.35 at a 0.05 significance level.
c) Based on our sample, there is sufficient evidence to support the statistics students' claim
that the average price of popcorn is higher than $8.35 at a 0.05 significance level.
d) Based on our sample, there is sufficient evidence to support the statistics students' claim
that the average price of popcorn is higher than $8.50 at a 0.05 significance level.
Answer:
8.) Choose the correct response from the following. An unusual event is an event that has a:
a) Negative probability.
b) Probability of occurrence of less than 0.05.
c) Probability of 1.
d) Probability which exceeds 1.
Answer:
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