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Statistics and working with data

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Case study problem attached.

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The following are the number of chips per bag for the 42 bags of Chips Ahoy! analyzed.

1200 1219 1103 1213 1258 1325 1295
1247 1098 1185 1087 1377 1363 1121
1279 1269 1199 1244 1294 1356 1137
1545 1135 1143 1215 1402 1419 1166
1132 1514 1270 1345 1214 1154 1307
1293 1546 1228 1239 1440 1219 1191

a. Obtain and interpret a point estimate for the mean number of chocolate chips per bag for all bags of Chips Ahoy! cookies (The sum of data is 52,986.)

b. Construct and interpret a normal probability plot, boxplot, and histogram of the data.

c. Use the graphs in part b to identify outliers, if any.

d. Is it reasonable to use the one sample 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.

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.
(-x= 1261.6 ; s = 117.6)

f. Use the program of your choice to solve a. b. and e.
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(See attached file for full problem description)

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Solution Summary

This shows how to work with data to find a point estimate for a mean; construct and interpret a probability plot, boxplot, and histogram; identify outliers; and determine a confidence interval.

Solution provided by:
Changping Wang, MA
Education
  • BSc , Wuhan Univ. China
  • MA, Shandong Univ.
Recent Feedback
  • "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
  • "excellent work"
  • "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
  • "Thank you"
  • "Thank you very much for your valuable time and assistance!"
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