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Masja [62]
3 years ago
6

You are trying to estimate the average amount a family spends on food during a year. In the past the standard deviation of the a

mount a family has spent on food during a year has been approximately $900. If you want to be 99% sure that you have estimated average family food expenditures within $50, how many families do you need to survey? Round your answer up to the nearest whole number, if necessary.
Mathematics
1 answer:
timama [110]3 years ago
8 0

Answer:

the number of families needed for the survey is 2,157

Step-by-step explanation:

The computation of the number of families needed for the survey is shown below:

Given that

The Standard deviation is $900

Service level = 99%

z value at 99% = 2.58

Expenditures = $50

Based on the above information

The number of families needed for the survey is

n = (\frac{zs}{E})^2\\\\=  (\frac{2.58\times 900}{50})^2

= 2,157

Hence, the number of families needed for the survey is 2,157

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