When the standard deviation is $1200 and the mean is $8000, the test statistic's result will be -1.804.
A statistic employed in statistical hypothesis testing is known as a test statistic. A test statistic, which can be thought of as a numerical summary of a data set that condenses the data into a single number that can be used to conduct the hypothesis test, is how a hypothesis test is commonly expressed. A number derived from a statistical test of a hypothesis is the test statistic. It displays how closely your actual data fit the distribution predicted by the statistical test's null hypothesis.
Here,
The claimed mean=$8250
The actual mean=$8000
The sample size=75
The standard deviation=$1200
The test statistic,
=(Actual mean-claimed mean)/Standard deviation/√(sample size)
=(8000-8250)/1200/√75
=-250/1200*1/√75
=-1.804
The value of test statistic will be -1.804 when the mean is $8000 and standard deviation is $1200.
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