On a can of sardines it is written that the can contains 10 sardines. You open up 100 cans and find the average is 9.75 sardines with a standard deviation of 1.
What is the test statistic in a test of the null hypothesis that the population average is 10?

Step-by-step explanation:

By considering the given statements :

Null hypothesis :

Alternative hypothesis :           ( opposite of null hypothesis.)

As per given , we have

Sample size : n= 100

Sample mean :

Sample standard deviations :

Since population standard deviation is unknown , so we will perform t-test.

Formula for test statistic ( for population mean):

Hence, the required test statistic :