A statistics instructor randomly selected four bags of​ oranges, each bag labeled 10​ pounds and weighed the bags. They weighed9.3,9.2,9.5,and9.5pounds.   Assume that the distribution of weights is Normal. Find a​ 95% confidence interval for the mean weight of all bags of oranges. Use technology for your calculations. Answer parts a and b below.a. Choose the correct interpretation of the confidence interval below​ and, if​ necessary, fill in the answer boxes to complete your choice.

Question
Asked Nov 21, 2019
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A statistics instructor randomly selected four bags of​ oranges, each bag labeled 10​ pounds and weighed the bags. They weighed
9.3,
9.2,
9.5,
and
9.5
pounds.   
Assume that the distribution of weights is Normal. Find a​ 95% confidence interval for the mean weight of all bags of oranges. Use technology for your calculations. Answer parts a and b below.
a. Choose the correct interpretation of the confidence interval below​ and, if​ necessary, fill in the answer boxes to complete your choice.
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Expert Answer

Step 1

From the provided information, sample size (n) = 4

Excel steps to calculate the 95% confidence interval for population mean:

  1. Enter the values in the excel table.
  2. Click on Data > Data Analysis > Descriptive Statistics...
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Image Transcriptionclose

Column1 Mean 9.375 Standard Error 0.075 Median 9.4 Mode 9.5 Standard Deviation 0.15 Sample Variance 0.0225 Kurtosis -3.901234568 Skewness -0.37037037 Range 0.3 Minimum 9.2 Maximum 9.5 Sum 37.5 Count 4 Confidence Level(95.0%) 0.238683473

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