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 approximately95 items,is given for this chain and for its competitor recorded during four consecutive weeks in a particular month.

WeekAdvertiser ($)Competitor ($)1254.30256.062240.56255.633231.94255.194234.08261.28(a)

Is there a significant difference in the average prices for these two different supermarket chains? (Use= 0.05.Use_{advertisercompetitor}=_d.)

State the null and alternative hypotheses.

H₀:_d0 versusH_a:_d= 0

H₀:_d= 0 versusH_a:_d< 0

H₀:_d< 0 versusH_a:_d> 0

H₀:_d= 0 versusH_a:_d> 0

H₀:_d= 0 versusH_a:_d0

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.

H₀is not rejected. There is insufficient evidence to indicate that the means are different.

H₀is rejected. There is insufficient evidence to indicate that the means are different.

H₀is not rejected. There is sufficient evidence to indicate that the means are different.

H₀is rejected. There is sufficient evidence to indicate that the means are different.

(b)

What is the approximatep-value for the test conducted in part (a)?

p-value < 0.010

0.010 <p-value < 0.020

0.020 <p-value < 0.050

0.050 <p-value < 0.100

0.100 <p-value < 0.200

p-value > 0.200

(c)

Construct a 99% confidence interval for the difference in the average prices for the two supermarket chains. (Use_{advertisercompetitor}.Round your answers to two decimal places.)

$to $

Interpret this interval.

Since 0 does not fall in the confidence interval, there is insufficient evidence to indicate that the means are different.

Since 0 does not fall in the confidence interval, there is sufficient evidence to indicate that the means are different.

Since 0 falls in the confidence interval, there is insufficient evidence to indicate that the means are different.

Since 0 falls in the confidence interval, there is sufficient evidence to indicate that the means are different.