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V125BC [204]
3 years ago
13

Suppose you are interested in determining if the average amount of money that students spend on food at your university per day

is greater than $30. You randomly choose 25 students from your campus and calculate that the mean amount of money spent per day is $18.01 with a standard deviation of $2.22. What is the standard error of the mean?
Mathematics
1 answer:
aivan3 [116]3 years ago
6 0

Answer:

<u>The standard error of the mean is 0.444</u>

Step-by-step explanation:

1. Let's review the information given to us for solving the question:

Size of the sample = 25

Mean amount of money spent per day = US$ 18.01

Standard deviation  =  US$ 2.22

2. For finding the standard error of the mean, we use the following formula:

Standard error = Standard deviation / √Size of the sample

Standard error = 2.22 / √25

Standard error = 2.22 / 5

<u>Standard error = 0.444</u>

3. Interpretation of the standard error:

The standard error is "the standard deviation of the population of values of a sample statistic in a repeated sampling or its estimate".

Thus, the potential for error in the reported result is not more than ± 0.444 (68% confidence) or no more than 1.96 times the standard error (0.444) = ± 0.87 (at 95% confidence).

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