Case Study Discussion for Module 6 - The Chips Ahoy! 1000 Chips Challenge

# Case Study Discussion for Module 6 - The Chips Ahoy! 1000 Chips Challenge

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Principles of Statistics 2010-04-STA-201-009OL Case Study Discussion for Module 6: The Chips Ahoy! 1000 Chips Challenge. Gabriel A. Godart Thomas Edison State College. a. Obtain and interpret a point estimate for the mean number of chocolate chips per bag for all bags of Chips Ahoy! Cookies. ( Note: The sum of the data is 52,986.) We have n = 42 and 1 52986 n i i X = = 1 52986 1261.57 42 n i i X X n = = = = 1261.57 is an estimate of the population mean number of chocolate chips per bag for all bags µ, because it consists of a single number, or point. b. Construct and interpret a normal probability plot, boxplot, and histogram of the data.

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It appears that the data on the number of chocolate chips per bag for 42 bags is normally distributed. The data are right skewed with the median at about 1230.
The overall distribution of the data is right skewed. c. Use the graphs in part (b) to identify outliers, if any. The Boxplot indicates potential outliers, but in view of the other two graphs, we conclude

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Unformatted text preview: that this data contain no outliers. d. Is it reasonable to use the one-mean t-interval procedure to obtain a confidence interval for the mean number of chocolate chips per bag for all bags of Chips Ahoy! Cookies? Explain your answer. Yes it is reasonable to use the one-mean t-interval procedure to obtain a confidence interval for the mean number of chocolate chips per bag for all bags of Chips Ahoy! Cookies, because the sample is large (n = 42). e. Determine a 95% confidence interval for the mean number of chips per bag for all bags of Chips Ahoy! Cookies, and interpret your result in words. ( Note: = 1261.6; s = 117.6.) We assume that s = = 117.6 117.6 18.146 42 X n = = = 2 1261.6 36.292 1225.308 2 1261.6 36.292 1297.892 X X X X -=-= + = + = We can be 95.44% confident that the interval from 1225.308 to 1297.892 chips per bag for all bags of Chips Ahoy! Cookies, contains the population ....
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Case Study Discussion for Module 6 - The Chips Ahoy! 1000 Chips Challenge

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