Question

In a test of hypothesis, the null hypothesis is that the population mean is equal to 80 and the alternative hypothesis is that the population mean is less than 80. The test is to be made at the 1% significance level. A sample of 100 elements selected from this population produced a mean of 74 and a standard deviation of 12. What is the value of the test statistics, z? 5.00 4.78 -4.78 -5.00

          In a test of hypothesis, the null hypothesis is that the population mean is equal to 80 and the alternative hypothesis is that the population mean is less than 80. The test is to be made at the 1% significance level. A sample of 100 elements selected from this population produced a mean of 74 and a standard deviation of 12.
What is the value of the test statistics, z?
5.00
4.78
-4.78
-5.00

In a test of hypothesis, the null hypothesis is that the population mean is equal to 80 and the alternative hypothesis is that the population mean is less than 80. The test is to be made at the 1% significance level. A sample of 100 elements selected from this population produced a mean of 74 and a standard deviation of 12.
What is the value of the test statistics, z?
5.00
4.78
-4.78
-5.00

Added by Jacqueline P.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Anas Venkitta

11/11/2021

Step 1

Step 1: Calculate the test statistic using the formula: \[ \text{Test Statistic} = \frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}}} \] where - \(\bar{x}\) is the sample mean (74), - \(\mu\) is the population mean (80), - \(\sigma\) is the standard deviation (12), Show more…

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