Do you want to own your own candy store? Wow! With some interest in running your own business and a decent credit rating, you can probably get a bank loan on startup costs for franchises such as Candy Express, The Fudge Company, Karmel Corn, and Rocky Mountain Chocolate Factory. Startup costs (in thousands of dollars) for a random sample of candy stores are given below. Assume that the population of x values has an approximately normal distribution. 96 171 134 96 75 94 116 100 85

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Do you want to own your own candy store? Wow! With some interest in running your own business and a decent credit rating, you can probably get a bank loan on startup costs for franchises such as Candy Express, The Fudge Company, Karmel Corn, and Rocky Mountain Chocolate Factory. Startup costs (in thousands of dollars) for a random sample of candy stores are given below. Assume that the population of x values has an approximately normal distribution.

96 171 134 96 75 94 116 100 85
 
(a) Use a calculator with mean and sample standard deviation keys to find the sample mean startup cost x and sample standard deviation s. (Round your answers to four decimal places.)
x =  thousand dollars
s =  thousand dollars

(b) Find a 90% confidence interval for the population average startup costs μ for candy store franchises. (Round your answers to one decimal place.)
lower limit      thousand dollars
upper limit      thousand dollars
Expert Solution
Step 1-Introduction

Hello, thanks for posting your question here. 

I am not sure what kind of a calculator you have and which type is asked to use here. So I am solving this problem using MS-Excel. Hope it will help you. 

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A random sample of candy stores is given below.

96
171
134
96
75
94
116
100
85

 

Step 2-(a)
  • It is asked to find the sample mean and sample standard deviation. 

Sample mean ( x¯ ) = 107.4444       [ using the MS-Excel function: AVERAGE()] Sample standard deviation (s)=29.3092          [ using the MS-Excel function: STDEV.S ()]

 

Note: Inside the parenthesis, you need to select the location of the given data in the Excel sheet.

 

  • Thus the answers are as follows.

 x¯ = 107.4444   thousand dollarss=29.3092     thousand dollars

 

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