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

Explanation:

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

`t=\frac{\overline{x}-\mu}{(s)/(√(n))}`

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

As per given,

`t=(10.7-10)/((3.1)/(√(50)))\\\\=1.59669273171\approx1.597`

Hence, the test statistic for this hypothesis test =1.597