The number of grams of carbohydrates contained in 1-ounce servings of randomly selected chocolate and nonchocolate candy is listed here. Is there sufficient evidence to conclude that the difference in the means is significant? Use a = 0.01. Chocolate: 29 25 17 36 41 25 32 29 38 34 24 27 29 Nonchocolate: 41 41 37 29 30 38 39 10 29 55 29

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter5: A Survey Of Other Common Functions
Section5.3: Modeling Data With Power Functions
Problem 6E: Urban Travel Times Population of cities and driving times are related, as shown in the accompanying...
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Question 3
Management of a soft drink bottling company has the business objective of developing a
method for allocating delivery costs to customers. Although one cost clearly relates to travel
time within a particular route, another variable cost reflects the time required to unload the
cases of soft drink at the delivery point. To begin, management decided to develop a regression
model to predict delivery time based on the number of cases delivered. A sample of 7 deliveries
within a teritory was selected. The delivery times and the number of cases delivered were
organized in the following table:
Customer No. of Cases
Delivery
Time
1
14
24
16
31
3
17
28
4
19
30
11
20
6.
16
22
7
24
40
a) Use the least-squares method to compute the regression coefficients.
b) Write down the estimated equation and interpret the meaning of the coefficients in this
problem
c) Predict the mean delivery time for 26 cases of soft drink.
d) Determine the value of the extent of relationship between delivery time and number of
cases and interpret your result.
e) Determine the coefficient of determination and explain its meaning in this problem.
f) What variation in delivery time is not attributed to the number of cases
g) At the 5% significance level, determine whether there a correlation between delivery
time and number of cases.
Transcribed Image Text:Question 3 Management of a soft drink bottling company has the business objective of developing a method for allocating delivery costs to customers. Although one cost clearly relates to travel time within a particular route, another variable cost reflects the time required to unload the cases of soft drink at the delivery point. To begin, management decided to develop a regression model to predict delivery time based on the number of cases delivered. A sample of 7 deliveries within a teritory was selected. The delivery times and the number of cases delivered were organized in the following table: Customer No. of Cases Delivery Time 1 14 24 16 31 3 17 28 4 19 30 11 20 6. 16 22 7 24 40 a) Use the least-squares method to compute the regression coefficients. b) Write down the estimated equation and interpret the meaning of the coefficients in this problem c) Predict the mean delivery time for 26 cases of soft drink. d) Determine the value of the extent of relationship between delivery time and number of cases and interpret your result. e) Determine the coefficient of determination and explain its meaning in this problem. f) What variation in delivery time is not attributed to the number of cases g) At the 5% significance level, determine whether there a correlation between delivery time and number of cases.
Question1
The number of grams of carbohydrates contained in 1-ounce servings of randomly selected
chocolate and nonchocolate candy is listed here. Is there sufficient evidence to conclude that
the difference in the means is significant? Use a = 0.01.
Chocolate:
29 25
17
36 41 25
32 29
38 34
24 27
29
Nonchocolate: 41 41
37
29
30 38
39
10
29
55 29
Question 2
In Cleveland, a sample of 73 mail carriers showed that 10 had been bitten by an animal during
one week. In Philadelphia, in a sample of 80 mail carriers, 16 had received animal bites. Is
there a significant difference in the proportions at 1% significance level?
Transcribed Image Text:Question1 The number of grams of carbohydrates contained in 1-ounce servings of randomly selected chocolate and nonchocolate candy is listed here. Is there sufficient evidence to conclude that the difference in the means is significant? Use a = 0.01. Chocolate: 29 25 17 36 41 25 32 29 38 34 24 27 29 Nonchocolate: 41 41 37 29 30 38 39 10 29 55 29 Question 2 In Cleveland, a sample of 73 mail carriers showed that 10 had been bitten by an animal during one week. In Philadelphia, in a sample of 80 mail carriers, 16 had received animal bites. Is there a significant difference in the proportions at 1% significance level?
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