Question

Sarah claims that her “miracle bait” is a more effective lure for panfish than the old- fashioned lure that Bill uses. Sarah and Bill went on 12 fishing expeditions in the same boat last summer and kept the following day-by-day record of the number of panfish they caught:

Days	1	2	3	4	5	6	7	8	9	10	11	12
Sarah	8	27	7	9	18	15	13	18	3	12	18	12
Bill	13	20	2	9	19	12	10	23	0	11	15	10

Do these statistics support Sarah’s argument sufficiently to convince Bill to switch to her “miracle bait”, which is somewhat more expensive than the bait Bill is currently using?

Answer 1

H0: Null Hypothesis:

HA: Alternative Hypothesis: (Claim)

From the given data, the following statistics are calculated:

n1 = 12

1 = 13.3333

s1 = 6.4149

n2 = 12

2 = 12

s2 = 6.7823

Test statistic is given by:

Take = 0.05

ndf = n1 + n2 - 2 = 12 + 12 - 2 = 22

One Tailed - Right Side Test

From Table, critical value of t = 1.7171

Since calculated value of t = 0.4947 is less than critical value of t = 1.7171, the difference is not significant. Fail to reject null hypothesis.

Conclusion;

The data do not support Sarah's argument sufficiently to convince Bill to switch to her "miracle bait" which is somewhat more expensive than the bait Bill is currently using.