Opinions are split about a coffee company's pumpkin-flavored coffee (PFC). Yet every year over the last five years the consumption of pumpkin-flavored goods has increased. If we look at the numbers, it also becomes clear why a leading coffee company keeps offering the PFC earlier and earlier every year. According to a magazine, the amount spent by PFC buyers at the coffee company is about 17% higher than non-PFC buyers. The accompanying table shows a random sample of eight consumers, the amount they spend per week, y, and the number of PFCs purchased, x, per week.PFCSpending 113.17 838.65 319.49 29.56 415.85 121.82 537.53 313.69α=0.05t= 3.07p-value= 0.022 Construct a 95% confidence interval for the population slope. UCL=6.69LCL=0.75 What conclusions about PFC purchases and spending can be drawn from these results? We are 95% confident that the true regression slope is between ________ and ___________. As this interval does include/does not include zero, we have evidence/do not have evidence to conclude that there is a linear relationship between spending and the number of PSL.(Round to two decimal places as needed.) Choose one: does include/does not include zeroChoose one: have evidence/do not have evidence

Name: Opinions are split about a coffee company's pumpkin-flavored coffee
Uploaded: 2024-03-20T06:38:58.000Z
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Description: Opinions are split about a coffee company's pumpkin-flavored coffee (PFC). Yet every year over the last five years the consumption of pumpkin-flavored goods has increased. If we look at the numbers, it also becomes clear why a leading coffee comp

Given Data: 95% Confidence Interval for the population slope: UCL=6.69 LCL=0.75

Answered: Opinions are split about a coffee…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter12: Probability

Section12.3: Conditional Probability; Independent Events; Bayes' Theorem

Problem 81E

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Opinions are split about a coffee company's pumpkin-flavored coffee (PFC). Yet every year over the last five years the consumption of pumpkin-flavored goods has increased. If we look at the numbers, it also becomes clear why a leading coffee company keeps offering the PFC earlier and earlier every year. According to a magazine, the amount spent by PFC buyers at the coffee company is about 17% higher than non-PFC buyers. The accompanying table shows a random sample of eight consumers, the amount they spend per week, y, and the number of PFCs purchased, x, per week.

PFC	Spending
	1	13.17
	8	38.65
	3	19.49
	2	9.56
	4	15.85
	1	21.82
	5	37.53
	3	13.69

α=0.05

t= 3.07

p-value= 0.022

Construct a 95% confidence interval for the population slope.

UCL	=	6.69
LCL	=	0.75

What conclusions about PFC purchases and spending can be drawn from these results?

We are 95% confident that the true regression slope is between ________ and ___________. As this interval does include/does not include zero, we have evidence/do not have evidence to conclude that there is a linear relationship between spending and the number of PSL.

(Round to two decimal places as needed.)

Choose one: does include/does not include zero

Choose one: have evidence/do not have evidence

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