Question

uppose you are performing a hypothesis test with H subscript 0 superscript blank space colon space mu equals 10 and H subscript A colon mu greater than 10, using a sample size of 50 observations. You sample data has a mean of 10.7, with a standard deviation of 3.1. Compute the test statistic for this hypothesis test

Answer 1

Answer: The test statistic for this hypothesis test =1.597

Step-by-step explanation:

When population standard deviation is unknown, we use t-test statistic:

$t=\dfrac{\overline{x}-\mu}{\dfrac{s}{\sqrt{n}}}$

$\overline{x}$ = sample mean, $\mu$ = population mean , s= sample standard deviation, n = sample size.

As per given,

$t=\dfrac{10.7-10}{\dfrac{3.1}{\sqrt{50}}}\\\\=1.59669273171\approx1.597$

Hence, the test statistic for this hypothesis test =1.597