Compute the value of the test statistic. Round the answer to three decimal places. t = 1.8

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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Free dessert: In an attempt to increase business on Monday nights, a restaurant offers a free dessert with every dinner order. Before the offer, the mean
number of dinner customers on Monday was 150. Following are the numbers of diners on a random sample of 12 days while the offer was in effect. Can you
conclude that the mean number of diners increased while the free dessert offer was in effect? Use the a =0.05 level of significance and the critical value method
with the
Critical Values for the Student's t Distribution Table.
196
159
181
142
202
129
132
141
164
210
182
143
Send data to Excel
Part 1 of 6
Following is a boxplot for these data. Is it reasonable to assume that the conditions for performing a hypothesis test are satisfied? Explain.
100
120
140
160
180
200
220
240
The boxplot shows that there are no
outliers.
The boxplot shows that there is no
evidence of strong skewness.
We can
assume that the population is approximately normal.
It is
reasonable to assume that the conditions are satisfied.
Transcribed Image Text:Free dessert: In an attempt to increase business on Monday nights, a restaurant offers a free dessert with every dinner order. Before the offer, the mean number of dinner customers on Monday was 150. Following are the numbers of diners on a random sample of 12 days while the offer was in effect. Can you conclude that the mean number of diners increased while the free dessert offer was in effect? Use the a =0.05 level of significance and the critical value method with the Critical Values for the Student's t Distribution Table. 196 159 181 142 202 129 132 141 164 210 182 143 Send data to Excel Part 1 of 6 Following is a boxplot for these data. Is it reasonable to assume that the conditions for performing a hypothesis test are satisfied? Explain. 100 120 140 160 180 200 220 240 The boxplot shows that there are no outliers. The boxplot shows that there is no evidence of strong skewness. We can assume that the population is approximately normal. It is reasonable to assume that the conditions are satisfied.
State the appropriate null and alternate hypotheses.
Ho
150
Η: μ>150
test.
This hypothesis test is a right-tailed
Part 3 of 6
Find the critical value(s). Round to three decimal places. If there is more than one critical value, separate them with commas.
Critical value(s): 1.796
Part: 3 / 6
Part 4 of 6
Compute the value of the test statistic. Round the answer to three decimal places.
t =| 1.8
Transcribed Image Text:State the appropriate null and alternate hypotheses. Ho 150 Η: μ>150 test. This hypothesis test is a right-tailed Part 3 of 6 Find the critical value(s). Round to three decimal places. If there is more than one critical value, separate them with commas. Critical value(s): 1.796 Part: 3 / 6 Part 4 of 6 Compute the value of the test statistic. Round the answer to three decimal places. t =| 1.8
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