Test the claim that the mean GPA of night students is significantly different than 2.7 at the 0.02 significance level.Based on a sample of 80 people, the sample mean GPA was 2.74 with a standard deviation of 0.05The test statistic is:The positive critical value is:how do you do this on a ti 84I tried the t test but it says it is not right

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Asked Nov 20, 2019
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Test the claim that the mean GPA of night students is significantly different than 2.7 at the 0.02 significance level.

Based on a sample of 80 people, the sample mean GPA was 2.74 with a standard deviation of 0.05

The test statistic is:

The positive critical value is:

how do you do this on a ti 84

I tried the t test but it says it is not right

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Expert Answer

Step 1

It is given that sample mean and standard deviation are 2.74 and 0.05, respectively.

The test hypotheses are:

Null hypothesis:

H0: μ = 2.7.

Alternative hypothesis:

H1: μ ≠ 2.7.

Step 2

As the population standard deviation is unknown, the sample standard deviation must be used while performing the test. Thus, the suitable test to use here is the one sample t test.

Step-by-step procedure to find the test statistic using TI-84 calculator:

  • Click on STAT > Tests> T-Test.
  • Enter 2.7 for µ0, 2.74 for x bar, 0.05 for SX and 80 for n.
  • Select µ ≠ µ0.
  • Select Calculate and Enter.

Output is obtained as follows:

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Step 3

From the output, test statistic is approximately 7.155.

Here, the distribution is two tailed, the degrees of freedom is 79 (= 80 – 1) and the level of significance is 0.05.

The critical value using TI-84 is obtained as follows:

  • Enter 2nd > DISTR.
  • Choose 3: InvT(
  • Enter area as 1&...
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