A sample of 16 ATM transactions shows a mean transaction time of 67 seconds with a standard deviation of 12 seconds. State the hypotheses to test whether the mean transaction time exceeds 50 seconds.

Ho: µ = ?

Ha: µ does not equal ?
µ < ?
µ > ?

Ho is the null hypothesis. Ha is the alternate hypothesis.

The question mark is the value for you to fill in. One of the three is the correct one for the alternate hypothesis. Read the question carefully to determine which one to use.

H0: < 60

H1: > 60

The hypotheses to test whether the mean transaction time exceeds 50 seconds are as follows:

Null Hypothesis (H0): The mean transaction time is less than or equal to 50 seconds.
Alternative Hypothesis (Ha): The mean transaction time exceeds 50 seconds.

To test whether the mean transaction time exceeds 50 seconds, we can set up the following hypotheses:

Null Hypothesis (H0): The mean transaction time is equal to or less than 50 seconds.
Alternative Hypothesis (Ha): The mean transaction time exceeds 50 seconds.

In symbols:

H0: μ ≤ 50 (where μ represents the population mean)
Ha: μ > 50

By setting up these hypotheses, we can perform a hypothesis test to see if there is enough evidence to support the claim that the mean transaction time exceeds 50 seconds.