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In: Statistics and Probability

A random sample of 21 nickels in circulation were measured with a very accurate micrometer to...

A random sample of 21 nickels in circulation were measured with a very accurate micrometer to find a mean of 0.834343 inch and a standard deviation of 0.001886 inch. At a 5% level of significance, are nickels in circulation on average smaller than the US Mint's manufactured specification of 0.835 inch?

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Expert Solution

Solution-

we have given

mean of 0.834343 inch and a standard deviation of 0.001886 inch

Sample size = 21

Let X = nickels in circulation

From provided information t test is conducted.

test results-

Test result that the null hypothesis is not rejected.

So, there is not enough evidence to claim that the nickels in circulation on average smaller than the US Mint's manufactured specification of 0.835 inch.

orchestra answered 2 years ago
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