QUESTION

# You may need to use the appropriate appendix table or technology to answer this question . Retailer A Retailer B 17 1 = 25 172 = 30 X 1 = 80 *...

x2 =

(a)

Formulate the null and alternative hypotheses to test whether there is a difference between the population mean customer satisfaction scores for the two retailers. (Let μ1 = population mean satisfaction score for Retailer A customers and μ2 = population mean satisfaction score for Retailer B customers.)

H0: μ1 − μ2 ≤ 0

Ha: μ1 − μ2 > 0

H0: μ1 − μ2 ≠ 0

Ha: μ1 − μ2 = 0

H0: μ1 − μ2 < 0

Ha: μ1 − μ2 = 0

H0: μ1 − μ2 = 0

Ha: μ1 − μ2 ≠ 0

H0: μ1 − μ2 ≥ 0

Ha: μ1 − μ2 < 0

(b)

Assume that experience with the satisfaction rating scale of the magazine indicates that a population standard deviation of 11 is a reasonable assumption for both retailers. Conduct the hypothesis test.

Find the value of the test statistic. (Round your answer to two decimal places.)

p-value =

At a 0.05 level of significance what is your conclusion?

Do not Reject H0. There is sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers.

Do not reject H0. There is insufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers.

Reject H0. There is insufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers.

Reject H0. There is sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers.

(c)

Provide a 95% confidence interval for the difference between the population mean customer satisfaction scores for the two retailers. (Round your answers to two decimal places.)

to

Which retailer, if either, appears to have the greater customer satisfaction?

The 95% confidence interval

---Select---

contains

is completely above

is completely below

zero. This suggests that the Retailer A has a

---Select---

higher

lower

population mean customer satisfaction score than Retailer B.

You may need to use the appropriate appendix table or technology to answer this question .&quot;Retailer ARetailer B17 1 = 25172 = 30X 1 = 80* 2 = 72( a ) FSatisfaction score for Retailer &amp; customers . )HO : 1 1 - 1 2 50, O'H _ : My - My 3 0\HO : My - My * OH_ : My - H2 = 0HO : My - 12 : 0He : My - 1 2 = 0O HO : HI - M2 = 0He : My - M z * 0HO : My - M2 2 0. OHe : 1 1 - 12 : 0( b) Assume that experience with the satisfaction rating scale of the magazine indicates that a population standard deviation of 1 1 is a reasonable assumption for both retailers . Conduct the hypothesis test .Find the value of the test statistic . ( Round your answer to two decimal places . )Find the p- value . ( Round your answer to four decimal places . )p - value =\At a 0 . 05 level of significance what is your conclusion ?Do not Reject Ho . There is sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers .Do not reject Ho . There is insufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers .Reject Ho . There is insufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers .*O Reject Ho . There is sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers .( C ) Provide a 95% confidence interval for the difference between the population mean customer satisfaction scores for the two retailers . ( Round your answers to two decimal places . )toWhich retailer , if either , appears to have the greater customer Satisfaction ?The 95%/ confidence interval -_ Select - -+ | zero . This suggests that the Retailer A has a -_ Select _ _ &quot;| population mean customer Satisfaction score than Retailer B.