a) Which type of confidence interval / distribution would you use in this scenario? Jus- tify. What assumptions are required to get a valid confidence interval for the mean fat content in hotdogs? Assess whether or not the data meet these conditions. Be specific and comment on all the relevant features in your assessment using the above information. b) Calculate a 95% confidence interval for the mean fat content in hotdogs (even if the conditions in a) are not met). Show your work your final answer should be displayed as a lower and upper bound and then circled. c) The hot dog vendor claims that his hotdogs are healthy as the mean fat content does not exceed 10%. Do you believe him? Answer with statistical justifications.

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Q 52. Hotdog Fat Content: Below are the descriptive statistics and plots for
a sample of fat content (in percentage) of randomly selected hot dogs from
a local street hot dog stand.
mean
sd
median
min
max
se
10
21.9
4.13 21.15
16
29.8
1.31
Normal Q-Q Plot
10
15
aretical Ouanles
a) Which type of confidence interval / distribution would yon use in this scenario? Jus-
tify. What aSsumptions are required to get a valid confidence interval for the mean
fat content in hotdogs? Assess whether or not the data meet these conditions. Be
specific and comment on all the relevant features in your assessment using the above
information.
b) Calculate a 95% confidence interval for the mean fat content in hotdogs (even if the
conditions in a) are not met). Show your work your final answer should be displayed
as a lower and upper bound and then circled,
c) The hot dog vendor claims that his hotdogs are healthy as the mean fat content does
not exceed 10%. Do you believe him? Answer with statistical justifications.
Transcribed Image Text:Q 52. Hotdog Fat Content: Below are the descriptive statistics and plots for a sample of fat content (in percentage) of randomly selected hot dogs from a local street hot dog stand. mean sd median min max se 10 21.9 4.13 21.15 16 29.8 1.31 Normal Q-Q Plot 10 15 aretical Ouanles a) Which type of confidence interval / distribution would yon use in this scenario? Jus- tify. What aSsumptions are required to get a valid confidence interval for the mean fat content in hotdogs? Assess whether or not the data meet these conditions. Be specific and comment on all the relevant features in your assessment using the above information. b) Calculate a 95% confidence interval for the mean fat content in hotdogs (even if the conditions in a) are not met). Show your work your final answer should be displayed as a lower and upper bound and then circled, c) The hot dog vendor claims that his hotdogs are healthy as the mean fat content does not exceed 10%. Do you believe him? Answer with statistical justifications.
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