A local retailer is trying to cut down on shipping costs. They are debating between FedEx or UPS as their primary shipping service. A random sample of 33 packages that need to be shipped are taken. For each of the 33 packages, the shipping cost was estimated for both FedEx and UPS; a new "diff" variable was calculated as FedEx minus UPS. You are asked to run a hypothesis test to see if there is a significant difference, on average, in shipping cost between FedEx and UPS for all packages shipped by the local retailer. Complete the following problems, working through the steps of a hypothesis test. Question 3 Subquestions 3.a Step 1: Provide the hypotheses and define the parameter in context.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Use the following prompt to complete the subquestions 3.a, 3.c, and 3.d

3.c
Step 3: Using the numerical outputs from R below, compute the test statistic and find the p-value range or exact p-value (using the t-table on your
formula card or the R Shiny App).
> summary(shipping$diff)
Min. 1st Qu. Median
Mean 3rd Qu.
Маx.
-3.3600 -0.8100 0.2700 0.5312
1.7500 4.1700
> sd(shipping$diff)
[1] 1.91772
> length(shipping$diff)
[1] 33
No answer entered. Click above to enter an answer.
3.d
Step 4: Evaluate the p-value at the 10% significance level, and write a corresponding conclusion in context.
Transcribed Image Text:3.c Step 3: Using the numerical outputs from R below, compute the test statistic and find the p-value range or exact p-value (using the t-table on your formula card or the R Shiny App). > summary(shipping$diff) Min. 1st Qu. Median Mean 3rd Qu. Маx. -3.3600 -0.8100 0.2700 0.5312 1.7500 4.1700 > sd(shipping$diff) [1] 1.91772 > length(shipping$diff) [1] 33 No answer entered. Click above to enter an answer. 3.d Step 4: Evaluate the p-value at the 10% significance level, and write a corresponding conclusion in context.
A local retailer is trying to cut down on shipping costs. They are debating between FedEx or UPS as their primary shipping service. A random sample of
33 packages that need to be shipped are taken. For each of the 33 packages, the shipping cost was estimated for both FedEx and UPS; a new "diff"
variable was calculated as FedEx minus UPS. You are asked to run a hypothesis test to see if there is a significant difference, on average, in shipping
cost between FedEx and UPS for all packages shipped by the local retailer.
Complete the following problems, working through the steps of a hypothesis test.
Question 3 Subquestions
3.a
Step 1: Provide the hypot
and define the parar
eter in context.
Transcribed Image Text:A local retailer is trying to cut down on shipping costs. They are debating between FedEx or UPS as their primary shipping service. A random sample of 33 packages that need to be shipped are taken. For each of the 33 packages, the shipping cost was estimated for both FedEx and UPS; a new "diff" variable was calculated as FedEx minus UPS. You are asked to run a hypothesis test to see if there is a significant difference, on average, in shipping cost between FedEx and UPS for all packages shipped by the local retailer. Complete the following problems, working through the steps of a hypothesis test. Question 3 Subquestions 3.a Step 1: Provide the hypot and define the parar eter in context.
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