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:
[tex]t=\dfrac{\overline{x}-\mu}{\dfrac{s}{\sqrt{n}}}[/tex]
[tex]\overline{x}[/tex] = sample mean, [tex]\mu[/tex] = population mean , s= sample standard deviation, n = sample size.
As per given,
[tex]t=\dfrac{10.7-10}{\dfrac{3.1}{\sqrt{50}}}\\\\=1.59669273171\approx1.597[/tex]
Hence, the test statistic for this hypothesis test =1.597
