Question

Do you want to own your own candy store? Wow! With some interest in running your...

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.

92 176 134 100 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 one decimal place.)

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

Homework Answers

Answer #1

a)

= X / n

= 972 / 9

= 108

S = sqrt [ X2 - n 2 / n-1 ]

= sqrt [ 11253

8 - 9 * 1082 / 8 ]  

= 30.7

b)

t critical value at 0.10 level with 8 df = 1.86

95% confidence interval for is

- t * S / sqrt(n) < < + t * S / sqrt(n)

108 - 1.86 * 30.7 / sqrt(9) < < 108 + 1.86 * 30.7 / sqrt(9)

89.0 < < 127.0

Lower limit =89.0

Upper limit = 127.0

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