For the standardized test statistic approach to hypothesis t

For the standardized test statistic approach to hypothesis testing, calculate the test statistic for testing the null hypothesis that the population mean is greater than or equal to 10, given a sample mean of 8.5, a sample size of 30, a sample standard deviation 5. Round to two decimals.

Solution

t-test For Single Mean
Null Hypothesis H0: U>=10
Alternate Hypothesis H1: U<10
Test Statistic
Population Mean(U)=10
Sample X(Mean)=8.5
Standard Deviation(S.D)=5
Number (n)=30
we use Test Statistic (t) = x-U/(s.d/Sqrt(n))
to =8.5-10/(5/Sqrt(29))
to =-1.64