Question

Two machines are used to fill 50-lb bags of dog food. Sample information for these two machines is given in the table.

1.       If the computed test statistic is -9.00, what is the decision and conclusion?     FTR the null hypothesis, machine A fills less.      reject the null hypothesis, machine A fills more.     FTR the alternative hypothesis, machine A fills less.     FTR Ho, machine A does not fill less.     reject the null hypothesis, machine A fills less. If the computed test statistic is -9.00, what would be the p-value? Why?     about 0.5      close to zero     about 1    between 0.05 and 0.10     between 0.01 and 0.05

	Machine A	Machine B
Sample Size	100	121
Sample Mean (pounds)	49.5	51.5
Population S.D	0.5	0.65

Answer 1

a) Ho: u1 >= u2
Ha: u1 < u2

We need to test whether machine A on an average fills less than machine B

If t-statistic = -9.00, it means that we will reject the Ho as the t-statistic is too negative (much lower than the critical value of 2 which is usually around -1.5 or -2)

Correct option: Reject the null hypothesis that machine A fills more

b) If the computed test statistic is -9.00, this means that the test statistic is too negative and significantly far lower from the critical value. Hence, the p-value must be around zero.

Correct option: close to zero