Question: A reading specialist suspects that there is a difference in the average reading speed between senior boys and senior girls at her high school. To

A reading specialist suspects that there is a difference in the average reading speed between senior boys and senior girls at her high school. To test her claim, random samples of 25 senior boys and 25 senior girls were selected. The reading speed of each student was measured. The reading specialist uses the data obtained to test the hypotheses H₀:_boys-_girls= 0 versus H_a:_boys-_girls0, where_boysand_girlsare the true mean reading speed of all senior boys and girls at her high school.

(a) Which of the following best describes a Type I error?

The reading specialist finds evidence there is a difference in the average reading speed between senior boys and senior girls at the high school when, in fact, there is a difference in the average reading speed between senior boys and senior girls.

The reading specialist fails to find evidence there is a difference in the average reading speed between senior boys and senior girls at the high school when, in fact, there is no difference in the average reading speed between senior boys and senior girls.

The reading specialist finds evidence there is a difference in the average reading speed between senior boys and senior girls at the high school.

The reading specialist finds evidence there is a difference in the average reading speed between senior boys and senior girls at the high school when, in fact, there is no difference in the average reading speed between senior boys and senior girls.

The reading specialist fails to find evidence there is a difference in the average reading speed between senior boys and senior girls at the high school when, in fact, there is a difference in the average reading speed between senior boys and senior girls.

(b) What type of test is this?

This is a

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right-tailed

left-tailed

two-tailed

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test of two proportions

two-sample t-test

goodness of fit test

paired t-test

test of independence

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