Great white sharks are big and hungry. Here are the lengths infeet of 44 great whites.
18.6
16.3
13.3
19.0 | 12.5
16.5
15.7
16.4 | 18.5
17.8
14.1
23.0 | 16.6
16.1
16.8
16.6 | 15.6
12.7
9.3
13.7 | 18.4
18.0
18.3
13.4 | 14.4
13.7
13.3
15.8 | 15.7
12.1
13.7
19.5 | 14.8
15.3
15.4
18.6 | 17.6
14.8
15.9
13.2 | 12.1
12.5
13.4
16.9 |
(a) Examine these data for shape, center, spread and outliers.The distribution is reasonably Normal except for one outlier ineach direction. Because these are not extreme and preserve thesymmetry of the distribution, use of the tprocedures issafe with 44 observations. (Round your answer for x to twodecimal places and your answer for s to three decimalplaces.)
(b) Give a 95% confidence interval for the mean length of greatwhite sharks. (Round your answers to two decimal places.)
to ft
Based on this interval, is there significant evidence at the 5%level to reject the claim "Great white sharks average 20 feet inlength"?
Since 20 ft does not fall in this interval, we reject thisclaim.Since 20 ft does not fall in this interval, we accept thisclaim. Since 20 ft does fall in thisinterval, we accept this claim.Since 20 ft does fall in thisinterval, we reject this claim.
(c) Before accepting the conclusions of (b), you need moreinformation about the data. What would you like to know? (Selectall that apply.)
Were they all male?Were these all full-grown sharks?Are thesesharks dangerous?Were these all great white sharks?Had these sharksjust eaten?Can these numbers be considered an SRS from thispopulation?
