Light Tuna in Water Light Tuna in Oil 1.01 0.51 2.54 0.60 1.94 1.43 1.90 0.64 1.25 1.10 1.32 0.64 0.57 0.65 1.77 0.67 0.67 0.69 1.21 0.62 0.67 0.62 0.69 0.62 0.68 Two-Sample T-Test and CI: Light Water, Light Oil Deseriptive Statisties Sample Lighs Water Lighs Cil Mean SeDev SE Mean 14 0.908 0.403 0.11 11 1.145 0.20 Estimation for Difference 95% CI for difference (-0.63, 0.208) Difference Fooled SeDev -0.238 0.534 Test H: H, - = Alternative hyposhesis : - Mull hypothesis T-Value -1.10 DE P-Value 23 0.201 (a) Do the data in the table present sufficient evidence to indicate a difference in the average prices of light tuna in water versus oil? Test using a = 0.05. State the null and alternative hypotheses. O H: (4, - 42) = 0 versus H: (4, - 4,) = 0 O H: (4, - 4,) = 0 versus H: (4, - 4,) > 0 O H: (K, - 4,) = 0 versus H: (H, - 4,) < 0 O H: (4, - H,) = 0 versus H,: (H, - ,) = 0 O H: (K, - H2) < O versus H,: (4, - ,) > 0 State the test statistic. State the rejection region. (If the test is one-tailed, enter NONE for the unused region. Round your answers to three places.) State the conclusion. rejected. There is sufficient evidence to conclude that there is a difference in the average prices of light tuna in water versus oil. OH, is not rejected. There is sufficient evidence to conclude that there is a difference in the average prices of light tuna in water versus oil. OH, is rejected. There is insufficient evidence to conclude that there is a difference in the average prices of light tuna in water versus oil. OH OH, is not rejected. There is insufficient evidence to conclude that there is a difference in the average prices of light tuna in water versus oil. (b) What is the p-value for the test? prvalue = (e) The MINITAB analysis uses the pooled estimate of o. Is the assumption of equal variances reasonable? Why or why not? (Round your answer to three decimal places.)
Light Tuna in Water Light Tuna in Oil 1.01 0.51 2.54 0.60 1.94 1.43 1.90 0.64 1.25 1.10 1.32 0.64 0.57 0.65 1.77 0.67 0.67 0.69 1.21 0.62 0.67 0.62 0.69 0.62 0.68 Two-Sample T-Test and CI: Light Water, Light Oil Deseriptive Statisties Sample Lighs Water Lighs Cil Mean SeDev SE Mean 14 0.908 0.403 0.11 11 1.145 0.20 Estimation for Difference 95% CI for difference (-0.63, 0.208) Difference Fooled SeDev -0.238 0.534 Test H: H, - = Alternative hyposhesis : - Mull hypothesis T-Value -1.10 DE P-Value 23 0.201 (a) Do the data in the table present sufficient evidence to indicate a difference in the average prices of light tuna in water versus oil? Test using a = 0.05. State the null and alternative hypotheses. O H: (4, - 42) = 0 versus H: (4, - 4,) = 0 O H: (4, - 4,) = 0 versus H: (4, - 4,) > 0 O H: (K, - 4,) = 0 versus H: (H, - 4,) < 0 O H: (4, - H,) = 0 versus H,: (H, - ,) = 0 O H: (K, - H2) < O versus H,: (4, - ,) > 0 State the test statistic. State the rejection region. (If the test is one-tailed, enter NONE for the unused region. Round your answers to three places.) State the conclusion. rejected. There is sufficient evidence to conclude that there is a difference in the average prices of light tuna in water versus oil. OH, is not rejected. There is sufficient evidence to conclude that there is a difference in the average prices of light tuna in water versus oil. OH, is rejected. There is insufficient evidence to conclude that there is a difference in the average prices of light tuna in water versus oil. OH OH, is not rejected. There is insufficient evidence to conclude that there is a difference in the average prices of light tuna in water versus oil. (b) What is the p-value for the test? prvalue = (e) The MINITAB analysis uses the pooled estimate of o. Is the assumption of equal variances reasonable? Why or why not? (Round your answer to three decimal places.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
6
The ratio of the larger of the two sample variances to the smaller is
which is ---Select--- greater than or less than than 3, so the assumption of equal variances ---Select--- is not or is reasonable.
Transcribed Image Text:Data on the estimated average price for a variety of different brands of tuna, based on prices paid nationally in supermarkets, are shown in the following table. Use the MINITAB printout to answer the questions in parts (a)-(c). (Use the exact values found in the MINITAB output.)
Light Tuna
in Water
Light Tuna
in Oil
1.01 0.51 2.54 0.60
1.94 1.43 1.90 0.64
1.25 1.10 1.32 0.64
0.87 0.65 1.77 0.67
0.67 0.69 1.21 0.62
0.67 0.62
0.69
0.62 0.68
Two-Sample T-Test and CI: Light Water, Light Oil
Descriptive Statistics
Sample
Light Water
Light Oil
Mean
StDev
SE Mean
14
0.908
0.403
0.11
11
1.145
0.668
0.20
Estimation for Difference
953 CI for
Difference
Pooled StDev
difference
-0.238
0.534
(-0.683, 0.208)
Test
H: 4. - H, = 0
: 4 - 4, = o
Null hypothesis
Alternative hypothesis
T-Value
DE
P-Value
-1.10
23
0.281
(a) Do the data in the table present sufficient evidence to indicate a difference in the average prices of light tuna in water versus oil? Test using a = 0.05.
State the null and alternative hypotheses.
O H: (4, - 4,) = 0 versus H: (4, - u,) = 0
O H,: (4, - H,) = O versus H: (4, - u,) > 0
O H: (4, - 4,) = 0 versus H: (4, - u,) < 0
O H,: (4, - H,) = 0 versus H: (4, - u,) = 0
O H: (4, - 4,) < 0 versus H: (4, - u,) > 0
State the test statistic.
t =
State the rejection region. (If the test is one-tailed, enter NONE for the unused region. Round your answers to three places.)
State the conclusion.
OH, is rejected. There is sufficient evidence to conclude that there is a difference in the average prices of light tuna in water versus oil.
O H, is not rejected. There is sufficient evidence to conclude that there is a difference in the average prices of light tuna in water versus oil.
O H, is rejected. There is insufficient evidence to conclude that there is a difference in the average prices of light tuna in water versus oil.
O H, is not rejected. There is insufficient evidence to conclude that there is a difference in the average prices of light tuna in water versus oil.
(b) What is the p-value for the test?
p-value =
(c) The MINITAB analysis uses the pooled estimate of o. Is the assumption of equal variances reasonable? Why or why not? (Round your answer to three decimal places.)
The ratio of the larger of the two sample variances to the smaller is
which is --Select-- v than 3, so the assumption of equal variances -Select---v reasonable.
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