A survey was conducted by an independent price-checking company to check an advertiser's claim that it had lower prices than its competitors. The average weekly total, based on the prices of approximately 95 items, is given for this chain and for its competito recorded during four consecutive weeks in a particular month. Week Advertiser ($) Competitor ($) 254.20 256.03 240.71 255.68 231.81 255.15 234.20 261.24 A USE SALT (a) Is there a significant difference in the average prices for these two different supermarket chains? (Use a = 0.05. Use u,advertiser - Hcompetitor " H) State the null and alternative hypotheses. O Hại H =0 versus H: H> 0 O Họ: Hg0 versus H: H-0 O Ho: H =0 versus H: H <0 O Hạ: H-0 versus H: H 0 O Hạ: H <0 versus H: H> o State the test statistic. (Round your answer to three decimal places.) State the rejection region. (If the test is one-tailed, enter NONE for the unused region. Round your answers to three decimal places.) State the conclusion. O Ho is rejected. There is insufficient evidence to indicate that the means are different. O H, is rejected. There is sufficient evidence to indicate that the means are different. O Ho is not rejected. There is sufficient evidence to indicate that the means are different. O H, is not rejected. There is insufficient evidence to indicate that the means are different.
A survey was conducted by an independent price-checking company to check an advertiser's claim that it had lower prices than its competitors. The average weekly total, based on the prices of approximately 95 items, is given for this chain and for its competito recorded during four consecutive weeks in a particular month. Week Advertiser ($) Competitor ($) 254.20 256.03 240.71 255.68 231.81 255.15 234.20 261.24 A USE SALT (a) Is there a significant difference in the average prices for these two different supermarket chains? (Use a = 0.05. Use u,advertiser - Hcompetitor " H) State the null and alternative hypotheses. O Hại H =0 versus H: H> 0 O Họ: Hg0 versus H: H-0 O Ho: H =0 versus H: H <0 O Hạ: H-0 versus H: H 0 O Hạ: H <0 versus H: H> o State the test statistic. (Round your answer to three decimal places.) State the rejection region. (If the test is one-tailed, enter NONE for the unused region. Round your answers to three decimal places.) State the conclusion. O Ho is rejected. There is insufficient evidence to indicate that the means are different. O H, is rejected. There is sufficient evidence to indicate that the means are different. O Ho is not rejected. There is sufficient evidence to indicate that the means are different. O H, is not rejected. There is insufficient evidence to indicate that the means are different.
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
Related questions
Question
100%
15 question has part a,b, and c
Transcribed Image Text:(b) What is the approximate p-value for the test conducted in part (a)?
O p-value < 0.010
O 0.010 < p-value < 0.020
O 0.020 < p-value < 0.050
O 0.050 < p-value < 0.100
O 0.100 < p-value < 0.200
O p-value > 0.200
(c) Construct a 99% confidence interval for the difference in the average prices for the two supermarket chains. (Use uadvertiser - Hcompetitor: Round your answers to two decimal places.)
$4
to $
Interpret this interval.
O Since 0 falls in the confidence interval, there is insufficient evidence to indicate that the means are different.
O Since 0 does not fall in the confidence interval, there is insufficient evidence to indicate that the means are different.
O Since 0 does not fall in the confidence interval, there is sufficient evidence to indicate that the means are different.
O Since 0 falls in the confidence interval, there is sufficient evidence to indicate that the means are different.
Transcribed Image Text:A survey was conducted by an independent price-checking company to check an advertiser's claim that it had lower prices than its competitors. The average weekly total, based on the prices of approximately 95 items, is given for this chain and for its competitor
recorded during four consecutive weeks in a particular month.
Week
Advertiser ($)
Competitor ($)
1
254.20
256.03
2
240.71
255.68
3
231.81
255.15
234.20
261.24
n USE SALT
(a) Is there a significant difference in the average prices for these two different supermarket chains? (Use a = 0.05. Use uadvertiser - Hcompetitor = H)
State the null and alternative hypotheses.
O Ho: H4 = 0 versus H: H > 0
O Ho: Hd#0 versus H: H = 0
O Ho: H = 0 versus H,: 4, < 0
O Ho: H = 0 versus H,: 4* 0
O Ho: H <0 versus H: Ha > 0
State the test statistic. (Round your answer to three decimal places.)
t =
State the rejection region. (If the test is one-tailed, enter NONE for the unused region. Round your answers to three decimal places.)
t >
t <
State the conclusion.
O H, is rejected. There is insufficient evidence to indicate that the means are different.
O H, is rejected. There is sufficient evidence to indicate that the means are different.
O H, is not rejected. There is sufficient evidence to indicate that the means are different.
O H, is not rejected. There is insufficient evidence to indicate that the means are different.
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