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A maker of frozen meals claims that the average caloric content of its meals is

ID: 3296434 • Letter: A

Question

A maker of frozen meals claims that the average caloric content of its meals is 400, and the standard deviation is 15. A researcher tested 16 meals and found that the average number of calories was 350.

At = 0.10, which of the following is true?

The critical values for the test are ± 1.65.

The critical values for the test are ± 1.96.

Do not reject the null hypothesis.

There is enough evidence to support the claim.

a.

The critical values for the test are ± 1.65.

b.

The critical values for the test are ± 1.96.

c.

Do not reject the null hypothesis.

d.

There is enough evidence to support the claim.

Explanation / Answer

givenx^=350

mean =400

sd=15

z=(350-400 )/15 =50/15 ==-3.333

From stamdard z table the value of- 3.3333= 0.0004

as alpha = 0.10 it is 90% confidence interval

so the critical value of the z = 1.65

so option a is correct

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