H0: Protype design has at most 37mpg vs. HA: prototype design has greater than 37mpg. If H0 is rejected, the action will be move the protype deisgn to prpduction. What kind of test is required

A one-tailed test with upper reject region

Explanation:

H0 : μ ≤ 37

H1 : μ > 37

This is a right tailed tailed test as indicated by the greater than symbol on the hypothesis defined. Hence, the critical region will lie to the right of the area under the curve.

Critical region which lies to the right of the curve is called the upper rejection region.

Rejecting the Null, H0 means that ; the value of the test statistic exceeds the critical value;

When the hypothesis is declared with the less than sign, rejection region lies to the left or lower region.

While a two tailed test has rejection region shares between each tail.