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Fofino [41]
2 years ago
14

In an effort to improve scores on college-entrance exams, the principal at a large high school chooses 35 students

Mathematics
1 answer:
denpristay [2]2 years ago
5 0

Using the t-distribution, it is found that the test statistic for the hypotheses test is given by:

t = \frac{-1.75 - 0}{\frac{7.12}{\sqrt{35}}}

<h3>What are the hypotheses tested?</h3>

At the null hypotheses, it i tested if the mean difference remains the same, that is:

H_0: \mu  = 0

At the alternative hypotheses, it is tested if it has decreased, hence:

H_a: \mu < 0.

<h3>What is the test statistic?</h3>

The test statistic is given by:

t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}

The parameters are:

  • \overline{x} is the sample mean.
  • \mu is the value tested at the null hypothesis.
  • s is the standard deviation of the sample.
  • n is the sample size.

The parameters are given as follows:

\overline{x} = -1.75, s = 7.12, n = 35.

Hence the test statistic is given by:

t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}

t = \frac{-1.75 - 0}{\frac{7.12}{\sqrt{35}}}

More can be learned about the t-distribution at brainly.com/question/16162795

#SPJ1

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