Question

the null and alternative hypotheses are given. determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. what parameter is being tested?
$h_{0}: sigma = 6$
$h_{1}: sigma > 6$
what type of test is being conducted in this problem?
two-tailed test
right-tailed test
left-tailed test
what parameter is being tested?
population standard deviation
population proportion
population mean

Explanation:

• For the type of test: In hypothesis testing, if the alternative hypothesis \(H_1\) has a ">" sign, it is a right - tailed test. Here \(H_1:\sigma>6\), so we look at the direction of the inequality in the alternative hypothesis.
• For the parameter: The symbol \(\sigma\) represents the population standard deviation.

Answer:

• What type of test is being conducted in this problem? Right - tailed test
• What parameter is being tested? Population standard deviation