Question

You have developed a new method to do 3-D printing of hospital face shields. You want to know if the new method is faster than the old method. All times are in minutes

            Old Method: 50 54 59 56 50 58

            New Method: 51 52 55 53 54 53

What is the value of the t-statistic?

How many degrees of freedom for this test?

Do you have enough evidence to reject the null hypothesis at the 0.10 level that the speed of the old method is greater than or equal to the speed of the new method?

Answer 1

The null and alternate hypothesis are:

H0:

Ha:

From the data, we have,

The test statistic is given by:

Since this is a left-tailed test, so the p-value is given by:

Since p-value is greater than 0.10, so we do not have sufficient evidence to reject the null hypothesis
H0.

Thus we do not have enough evidence to reject the null hypothesis at the 0.10 level that the speed of the old method is greater than or equal to the speed of the new method.