A random sample of students at a college reported what they believed to be their heights in inches. Then the students measured each others' heights in centimeters, without shoes. The data provided are for the men, with their believe converted from inches to centimeters. Assume that conditions for t-tests hold. Complete parts a and b below. E Click the icon to view the data. a. Find a 95% confidence interval for the mean difference as measured in centimeters. Does it capture 0? What does that show? Data Table The 95% confidence interval for measured - believed is (OD. (Round to three decimal places as needed.) Men The interval include 0, so a hypothesis that the means are equal v be rejected. |Centimeters Centimeters (measured) (believed) Full Data Set D Centimeters |Centimeters (measured) (believed) 179 b. Perform a t-test to test the hypothesis that the means are not the same. Use a significance level of 0.05. 168 167.64 177.80 Determine the hypotheses for this test. Let Hrference be the population mean difference between measured and believed height, in centimeters. Choose the correct a 171 170.18 176 175.26 179 173 182 182.88 172.72 193.04 175.26 177.80 O A. Ho: Haifterence =0 Ha: Haifference #0 O B. Ho: Hafference =0 Ha: Pdifference<0 167 177.80 192 169 167.64 171 168 172.72 OC. Ho: Hdifterence *0 Ha: Haifference > 0 O D. Ho: Haterence *0 Hg: Haifference = 0 175 172.72 185 185.42 190 195.58 O E. Ho: Hdiference *0 Hg: Hdifference <0 OF. Ho: Haerence =0 Ha: Haifference >0 Print Done Find the test statistic for measured - believed for this test. t= (Round to two decimal places as needed.)
A random sample of students at a college reported what they believed to be their heights in inches. Then the students measured each others' heights in centimeters, without shoes. The data provided are for the men, with their believe converted from inches to centimeters. Assume that conditions for t-tests hold. Complete parts a and b below. E Click the icon to view the data. a. Find a 95% confidence interval for the mean difference as measured in centimeters. Does it capture 0? What does that show? Data Table The 95% confidence interval for measured - believed is (OD. (Round to three decimal places as needed.) Men The interval include 0, so a hypothesis that the means are equal v be rejected. |Centimeters Centimeters (measured) (believed) Full Data Set D Centimeters |Centimeters (measured) (believed) 179 b. Perform a t-test to test the hypothesis that the means are not the same. Use a significance level of 0.05. 168 167.64 177.80 Determine the hypotheses for this test. Let Hrference be the population mean difference between measured and believed height, in centimeters. Choose the correct a 171 170.18 176 175.26 179 173 182 182.88 172.72 193.04 175.26 177.80 O A. Ho: Haifterence =0 Ha: Haifference #0 O B. Ho: Hafference =0 Ha: Pdifference<0 167 177.80 192 169 167.64 171 168 172.72 OC. Ho: Hdifterence *0 Ha: Haifference > 0 O D. Ho: Haterence *0 Hg: Haifference = 0 175 172.72 185 185.42 190 195.58 O E. Ho: Hdiference *0 Hg: Hdifference <0 OF. Ho: Haerence =0 Ha: Haifference >0 Print Done Find the test statistic for measured - believed for this test. t= (Round to two decimal places as needed.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:A random sample of students at a college reported what they believed to be their heights in inches. Then the students measured each others' heights in centimeters, without shoes. The data provided are for the men, with their believed heights
converted from inches to centimeters. Assume that conditions for t-tests hold. Complete parts a and b below.
Click the icon to view the data.
a. Find a 95% confidence interval for the mean difference as measured in centimeters. Does it capture 0? What does that show?
Data Table
The 95% confidence interval for measured – believed is
(Round to three decimal places as needed.)
Men
The interval
include 0, so a hypothesis that the means are equal
be rejected.
Full Data Set O
Centimeters Centimeters
(measured) (believed)
Centimeters Centimeters
(measured) (believed)
177.80
b. Perform a t-test to test the hypothesis that the means are not the same. Use a significance level of 0.05.
168
167.64
179
Determine the hypotheses for this test. Let Hdifference be the population mean difference between measured and believed height, in centimeters. Choose the correct a
171
170.18
176
175.26
182
182.88
179
177.80
O A. Ho: Hdifference
B. Ho: Hdifference
= 0
= 0
167
172.72
173
177.80
Ha: Hdifference
192
193.04
169
167.64
#0
Ha: Hdifference
<0
171
175.26
168
172.72
О С. Но: Нaifference
D. Ho: Hdifference
#0
175
172.72
185
185.42
Ha: Hdifference > 0
Ha: Hdifference
= 0
190
195.58
O E. Ho: Hdifference
OF.
Ho: Hdifference
Ha: Hdifference
#0
= 0
Ha: Hdifference
< 0
>0
Print
Done
Find the test statistic for measured – believed for this test.
t=
(Round to two decimal places as needed.)
Find the p-value for this test.
p-value = (Round to three decimal places as needed.)
Transcribed Image Text:What is the conclusion for this test?
O A. Reject Ho. The means of measured and believed heights are not significantly different.
B. Do not reject Ho. The means of measured and believed heights are significantly different.
C. Reject Ho. The means of measured and believed heights are significantly different.
O D. Do not reject Ho. The means of measured and believed heights are not significantly different.
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