A restaurant surveys its customers to obtain ratings for two of its delivery services. Each customer is asked to rate their delivery on a set of factors including communication, friendliness, timeliness, and cost. An overall summarizes the rating with 100 being the highest score. Sample data for Delivery Service A and Delivery Service B is provided below. Delivery Service A Delivery Service B n₁ = 25 x₁ = 79 S₁ = 12 7₂ = 30 x₂ = 72 $₂= 13.5 (a) Formulate the null and alternative hypotheses to test whether there is a difference between the population mean customer satisfaction scores for the two delivery services. (Let #₁ population mean satisfaction score for Delivery Service A and #₂ population mean satisfaction score for Delivery Service B.) o Hai khi không 50 H₂: H₂-H₂>O o Hỏi khi không 0 H₂: H₁-H₂=0 Hỏi khi không 20 H₂: H₂-H₂ <0 o Mai khi không đọ H₂: H₁-H₂=0 0H0² H₁-4₂=0 H₂H₁-H₂0 (b) 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.)

MATLAB: An Introduction with Applications
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A restaurant surveys its customers to obtain ratings for two of its delivery services. Each customer is asked to rate their delivery on a set of factors including communication, friendliness, timeliness, and cost. An overall score
summarizes the rating with 100 being the highest score. Sample data for Delivery Service A and Delivery Service B is provided below.
O
Delivery Service A
71 = 25
x₁ = = 79
= 12
O
$₁ =
Hoi thi - k2 < 0
Hai H₁ - H₂> 0
о нон-нако
H₂: μ₁ −μ₂ = 0
(a) Formulate the null and alternative hypotheses to test whether there is a difference between the population mean customer satisfaction scores for the two delivery services. (Let μ₁ = population mean satisfaction score for
Delivery Service A and μ₂ population mean satisfaction score for Delivery Service B.)
=
Hoi khi khg 2 0
H₂: H₁-H₂ <0
Hỏi khi kh2 #0
H₂: μ₁ −μ₂ = 0
Delivery Service B
o Hoi thi - ty =0
Ha: H1 - H2 + 0
72 = 30
x₂ = 72
$₂
= 13.5
(b) 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 insufficient evidence to conclude that the population mean satisfaction scores differ for the two delivery services.
Reject Ho. There is sufficient evidence to conclude that the population mean satisfaction scores differ for the two delivery services.
Reject Ho. There is insufficient evidence to conclude that the population mean satisfaction scores differ for the two delivery services..
Do not Reject Ho. There is sufficient evidence to conclude that the population mean satisfaction scores differ for the two delivery services.
(c) Provide a 95% confidence interval for the difference between the population mean customer satisfaction scores for the two delivery services. (Round your answers to two decimal places.)
to
Transcribed Image Text:may A restaurant surveys its customers to obtain ratings for two of its delivery services. Each customer is asked to rate their delivery on a set of factors including communication, friendliness, timeliness, and cost. An overall score summarizes the rating with 100 being the highest score. Sample data for Delivery Service A and Delivery Service B is provided below. O Delivery Service A 71 = 25 x₁ = = 79 = 12 O $₁ = Hoi thi - k2 < 0 Hai H₁ - H₂> 0 о нон-нако H₂: μ₁ −μ₂ = 0 (a) Formulate the null and alternative hypotheses to test whether there is a difference between the population mean customer satisfaction scores for the two delivery services. (Let μ₁ = population mean satisfaction score for Delivery Service A and μ₂ population mean satisfaction score for Delivery Service B.) = Hoi khi khg 2 0 H₂: H₁-H₂ <0 Hỏi khi kh2 #0 H₂: μ₁ −μ₂ = 0 Delivery Service B o Hoi thi - ty =0 Ha: H1 - H2 + 0 72 = 30 x₂ = 72 $₂ = 13.5 (b) 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 insufficient evidence to conclude that the population mean satisfaction scores differ for the two delivery services. Reject Ho. There is sufficient evidence to conclude that the population mean satisfaction scores differ for the two delivery services. Reject Ho. There is insufficient evidence to conclude that the population mean satisfaction scores differ for the two delivery services.. Do not Reject Ho. There is sufficient evidence to conclude that the population mean satisfaction scores differ for the two delivery services. (c) Provide a 95% confidence interval for the difference between the population mean customer satisfaction scores for the two delivery services. (Round your answers to two decimal places.) to
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