Does network performance vary between providers? The accompanying data table provides the download speed (in Mbps) on wireless connections of Company X and Company Y in 23 cities. Complete parts (a) through (d). E Click the icon to view the data table. a. At the 0.01 level of significance, is there evidence of a difference in the mean download speed between Company X and Company Y? Let u, be the population mean download speed of Company X and let u, be the mean download speed of Company Y. State the null and alternative hypotheses. Choose the correct answer below. O B. Ho: Ho = 0 (where Hp =H1 -2) O A. Ho: Ho =0 (where Ho =H /) H,: Ho 20 H,: Ho <0 O D. Ho: Ho =0 (where Hp =H, /H2) H,: Ho #0 OC. Ho: Ho =0 (where Hp = H, - H2) H,: Ho >0 O E. Ho: HD =0 (where Ho = H1 - H2) H: Ho #0 OF. Ho: Ho #0 (where µp = H1 - P2) H,: Ho =0 The test statistic is. (Round to two decimal places as needed.) The p-value isO (Round to three decimal places as needed.) Since the p-value is V the value of a There is V evidence of a difference in the mean download speeds between Company X and Company Y. b. What assumption about the download speeds is necessary to perform this test? O A. It must be assumed that the distribution of the differences between the measurements is approximately uniform. O B. It must be assumed that the distribution of the differences between the measurements is approximately normal. OC. It must be assumed that the distribution of the differences between the measurements is skewed.

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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City Company X Company Y
City 1 63.69 72.36
City 2 63.88 71.97
City 3 64.51 66.3
City 4 61.66 70.65
City 5 68.11 73.37
City 6 62.92 70.69
City 7 66.74 72.78
City 8 62.44 73.03
City 9 67.68 75.86
City 10 62.23 71.82
City 11 66.75 72.94
City 12 75.49 69.32
City 13 67 69.35
City 14 63.08 69.28
City 15 67.76 69.51
City 16 68.72 74.9
City 17 63.91 71.43
City 18 64.29 72.49
City 19 58.8 71.15
City 20 63.3 68.09
City 21 67.69 71.73
City 22 70.54 70.84
City 23 66.62 69.25

Does network performance vary between providers? The accompanying data table provides the download speed (in Mbps) on wireless connections of Company X and Company Y in 23 cities. Complete parts (a) through (d).
E Click the icon to view the data table.
a. At the 0.01 level of significance, is there evidence of a difference in the mean download speed between Company X and Company Y?
Let u, be the population mean download speed of Company X and let u, be the mean download speed of Company Y. State the null and alternative hypotheses. Choose the correct answer below.
O A. Ho: HD =0 (where Hp = H1/
H1: HD 20
O B. Ho: Hp =0 (where Hp = H - H2)
H1: Ho <0
OC. Ho: HD =0 (where Hp = H1 - H2)
H1: Hp >0
O D. Ho: Hp =0 (where Hp = H1 / H2)
H1: Hp #0
O E. Ho: HD =0 (where Hp = H1 - H2)
H1: HD #0
O F. Ho: Hp #0 (where Hp = Hy - H2)
H1: Hp =0
The test statistic is
(Round to two decimal places as needed.)
The p-value is
(Round to three decimal places as needed.)
Since the p-value is
V the value of a,
There is
V evidence of a difference in the mean download speeds between Company X and Company Y.
b. What assumption about the download speeds is necessary to perform this test?
O A. It must be assumed that the distribution of the differences between the measurements is approximately uniform.
O B. It must be assumed that the distribution of the differences between the measurements is approximately normal.
It must be assumed that the distribution of the differences between the measurements is skewed.

Construct a boxplot of the differences. Choose the correct graph below.
O A.
OB.
OC.
OD.
7.17
"7.17
-13.35
Paired Difference
-13.35
-13.35
-13.35
Paired Difference
Paired Difference
Paired Difference
Does the assumption needed in order to conduct the t test in (a) appear to be valid?
O A. No, because the boxplot does not indicate severe departure from normality.
O B. No, because the boxplot shows that the data are significantly skewed.
OC. Yes, because the boxplot does not indicate severe departure from normality.
O D. Yes, because the boxplot shows that the data are significantly skewed.
d. Construct and interpret a 99% confidence interval estimate of the difference in the mean download speed between Company X and Company Y.
(Round to two decimal places as needed.)
Interpret this interval. Choose the correct answer below.
O A. With 99% confidence, the difference in the mean download speed between Company X and Company Y falls in this interval.
O B. With 1% confidence, the difference in the mean download speed between Company X and Company Y falls in this interval.
O C. With 1% confidence, any sample mean difference in the download speed between Company X and Company Y falls in this interval.
O D. With 99% confidence, any sample mean difference in the download speed between Company X and Company Y falls in this interval.

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