Question

We want to conduct a hypothesis test of the claim that the population mean reading speed of second graders is different from 28.3 words per minute. So, we choose a random sample of students' reading speeds. The sample has a mean of 28.2 words per minute and a standard deviation of 4 words per minute.

For each of the following sampling scenarios, choose an appropriate test statistic for our hypothesis test on the population mean. Then calculate that statistic. Round your answers to two decimal places.

Answer 1

The test statistics based on the information given will be 0.238.

How to compute the test statistic?

Population mean = 28.3

Sample mean = 28.2

Standard deviation = 4

Sample size = 90

In this case, the z test will be used since the standard deviation is known. This will be:

= (28.2 - 28.3)/4/✓90

= -0.1/(4/9.48)

= -0.1/0.42

= -0.238

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