To see how much difference time of day made on the speed at which he could download files, a college sophomore placed a file on a remote server, then proceeded to download it at three different time periods of the day. He downloaded the file 18 times in all, 6 times at each time of day, and recorded the time in seconds that the download took. At the 5% significance level, do the data provide sufficient evidence to conclude that a difference exists in mean download speed? Evening Late night Early (7 a.m.) (5 p.m.) (12 a.m.) 61 sec 188 sec 212 sec 152 sec 311 sec 185 sec 96 sec 250 sec 182 sec 213 sec 310 sec 228 sec 116 sec 247 sec 206 sec 88 sec 203 sec 164 sec First, let u,, 2, and ua be the population means times for 7 a.m., 5 p.m., and 12 a.m., respectively. What are the correct hypotheses for a one-way ANOVA test? O A. Ho: H1#H2 # H3 O B. Ho: H1 =H2 = H3 Ha: H1 =H2=H3 Ha: Not all the means are equal. O D. Ho: H1 =H2 = H3 Ha: H1#2 # H3 O C. Ho: H1 # µ2 # µ3 Ha: All the means are equal. Now conduct a one-way ANOVA test on the data. What is the F-statistic? F = (Round to two decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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To see how much difference time of day made on the
speed at which he could download files, a college
sophomore placed a file on a remote server, then
proceeded to download it at three different time
periods of the day. He downloaded the file 18 times in
all, 6 times at each time of day, and recorded the time
in seconds that the download took. At the 5%
significance level, do the data provide sufficient
evidence to conclude that a difference exists in mean
download speed?
Evening Late night
Early
(7 a.m.)
(5 p.m.)
(12 a.m.) D
61 sec
188 sec
212 sec
152 sec
311 sec
185 sec
96 sec
250 sec
182 sec
213 sec
310 sec
228 sec
116 sec
247 sec
206 sec
88 sec
203 sec
164 sec
... ..
Now conduct a one-way ANOVA test on the data. What is the F-statistic?
F =
(Round to two decimal places as needed.)
Determine the critical value F,
ry
Fa = (Round to two decimal places as needed.)
%D
Ho- The data
sufficient evidence to conclude that the population means are not
Since the F-statistic
v in the rejection region,
all the same.
Transcribed Image Text:To see how much difference time of day made on the speed at which he could download files, a college sophomore placed a file on a remote server, then proceeded to download it at three different time periods of the day. He downloaded the file 18 times in all, 6 times at each time of day, and recorded the time in seconds that the download took. At the 5% significance level, do the data provide sufficient evidence to conclude that a difference exists in mean download speed? Evening Late night Early (7 a.m.) (5 p.m.) (12 a.m.) D 61 sec 188 sec 212 sec 152 sec 311 sec 185 sec 96 sec 250 sec 182 sec 213 sec 310 sec 228 sec 116 sec 247 sec 206 sec 88 sec 203 sec 164 sec ... .. Now conduct a one-way ANOVA test on the data. What is the F-statistic? F = (Round to two decimal places as needed.) Determine the critical value F, ry Fa = (Round to two decimal places as needed.) %D Ho- The data sufficient evidence to conclude that the population means are not Since the F-statistic v in the rejection region, all the same.
Late night
(12 a.m.) O
To see how much difference time of day made on the
speed at which he could download files, a college
sophomore placed a file on a remote server, then
proceeded to download it at three different time
periods of the day. He downloaded the file 18 times in
all, 6 times at each time of day, and recorded the time
in seconds that the download took. At the 5%
significance level, do the data provide sufficient
evidence to conclude that a difference exists in mean
download speed?
Early
(7 a.m.)
Evening
(5 p.m.)
61 sec
188 sec
212 sec
152 sec
311 sec
185 sec
96 sec
250 sec
182 sec
213 sec
310 sec
228 sec
116 sec
247 sec
206 sec
88 sec
203 sec
164 sec
First, let p,, µ2, and µ, be the population means times for 7 a.m., 5 p.m., and 12 a.m., respectively. What are the correct hypotheses for a one-way ANOVA test?
O B. Ho: H1 =#2 =H3
O A. Ho:H1#H2 # H3
Ha: Not all the means are equal.
Ha: H1 =H2=H3
O C. Ho: H17H2# H3
Ha: All the means are equal.
O D. Ho: H1 =#2 =H3
Ha: H1 #H2# H3
Now conduct a one-way ANOVA test on the data. What is the F-statistic?
F = |(Round to two decimal places as needed.)
Transcribed Image Text:Late night (12 a.m.) O To see how much difference time of day made on the speed at which he could download files, a college sophomore placed a file on a remote server, then proceeded to download it at three different time periods of the day. He downloaded the file 18 times in all, 6 times at each time of day, and recorded the time in seconds that the download took. At the 5% significance level, do the data provide sufficient evidence to conclude that a difference exists in mean download speed? Early (7 a.m.) Evening (5 p.m.) 61 sec 188 sec 212 sec 152 sec 311 sec 185 sec 96 sec 250 sec 182 sec 213 sec 310 sec 228 sec 116 sec 247 sec 206 sec 88 sec 203 sec 164 sec First, let p,, µ2, and µ, be the population means times for 7 a.m., 5 p.m., and 12 a.m., respectively. What are the correct hypotheses for a one-way ANOVA test? O B. Ho: H1 =#2 =H3 O A. Ho:H1#H2 # H3 Ha: Not all the means are equal. Ha: H1 =H2=H3 O C. Ho: H17H2# H3 Ha: All the means are equal. O D. Ho: H1 =#2 =H3 Ha: H1 #H2# H3 Now conduct a one-way ANOVA test on the data. What is the F-statistic? F = |(Round to two decimal places as needed.)
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