Solution: The population mean is greater than 100 means the alternate hypothesis is H1: m m a, reject the null hypothesis; otherwise, do not reject the null hypothesis. Press STAT and the right arrow twice to select TESTS. To select the highlighted 2:T-Test Press ENTER. Use right arrow to select Stats (summary values rather than raw data) and Press ENTER. Use the down arrow to Enter the hypothesized mean, sample mean, standard deviation, and sample size. Select alternate hypothesis. Press down arrow to select Calculate and press ENTER.
http://cfcc.edu/faculty/cmoore/TI83TTest.htm
For example, the test statistic for a Z-test is the Z-statistic, which has the standard normal distribution under the null hypothesis. Suppose you perform a two-tailed Z-test with an α of 0.05, and obtain a Z-statistic (also called a Z-value) based on your data of 2.5.
http://support.minitab.com/en-us/minitab-express/1/help-and-how-to/basic-statistics/inference/supporting-topics/basics/what-is-a-test-statistic/
A test statistic is a standardized value that is calculated from sample data during a hypothesis test. You can use test statistics to determine whether to reject the null hypothesis. The test statistic compares your data with what is expected under the null hypothesis. The test statistic is used to calculate the p-value. A test statistic measures the degree of agreement between a sample of data and the null hypothesis. Its observed value changes randomly from one random sample to a different sample.
http://support.minitab.com/en-us/minitab-express/1/help-and-how-to/basic-statistics/inference/supporting-topics/basics/what-is-a-test-statistic/
Enter sample mean, standard deviation, and sample size for samples 1 and 2. Select alternate hypothesis. Select pooled: Yes. Press down arrow to select Calculate and press ENTER. Results: Since the p-value is 0.384, do not reject the null hypothesis with an alpha value of 0.02 (because 0.384 is not less than 0.02).
http://cfcc.edu/faculty/cmoore/TI83TTest.htm
T-test calculation is most commonly applied when the test statistic would follow a normal distribution if the value of a scaling term in the test statistic were known.
https://www.easycalculation.com/statistics/ttest-calculator.php
This example teaches you how to perform a t-Test in Excel. The t-Test is used to test the null hypothesis that the means of two populations are equal. Below you can find the study hours of 6 female students and 5 male students. H. To perform a t-Test, execute the following steps. 1. First, perform an F-Test to determine if the variances of the two populations are equal. This is not the case. 2. On the Data tab, click Data Analysis.
http://www.excel-easy.com/examples/t-test.html
The two population means are equal means the null and alternate hypotheses are H0: m 1 = m 2 and H1: m 1 m 2 a, reject the null hypothesis; otherwise, do not reject the null hypothesis. Press STAT and the right arrow twice to select TESTS. Use the down arrow to select 4:2-SampTTest Press ENTER.
http://cfcc.edu/faculty/cmoore/TI83TTest.htm
Use the TI-83 calculator to test the hypothesis that the population mean is not different from 19.2 with a level of significance of α = 5%. Solution: The population mean is not different from 19.2 means the same as the population mean is equal to 19.2.
http://cfcc.edu/faculty/cmoore/TI83ZTest.htm
T-Test Calculator. A t-test calculator performs any statistical hypothesis test in which the test statistic follows a Students t distribution if the null hypothesis is supported.
https://www.easycalculation.com/statistics/ttest-calculator.php
This Z-value corresponds to a p-value of 0.0124. Because this p-value is less than α, you declare statistical significance and reject the null hypothesis. Different hypothesis tests use different test statistics based on the probability model assumed in the null hypothesis.
http://support.minitab.com/en-us/minitab-express/1/help-and-how-to/basic-statistics/inference/supporting-topics/basics/what-is-a-test-statistic/
how to calculate test statistic
To calculate test statistics, press STAT and the right arrow twice to select TESTS. To select the highlighted 2:T-Test Press ENTER. Use right arrow to select Stats and Press ENTER. Use the down arrow to Enter the hypothesized mean, sample mean, standard deviation, and sample size. Select alternate hypothesis. Press down arrow to select Calculate and press ENTER.