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Mathematics, 07.04.2020 21:40 rocksac6744
Great white sharks are big and hungry. Here are the lengths in feet of 44 great whites.
18.8
16.6
13.2
18.9
12.5
16.8
16.0
16.0
18.4
17.7
14.1
23.0
16.6
16.4
16.5
16.9
15.5
12.5
9.4
13.8
18.3
18.0
18.1
13.4
14.5
14.0
13.2
15.7
16.0
12.3
13.5
19.7
14.9
15.2
15.4
18.9
17.8
14.5
16.3
13.2
12.0
12.3
13.6
16.7
(a) Examine these data for shape, center, spread and outliers. The distribution is reasonably Normal except for one outlier in each direction. Because these are not extreme and preserve the symmetry of the distribution, use of the t procedures is safe with 44 observations. (Round your answer for x to two decimal places and your answer for s to three decimal places.)
x
= ___ ft
s
= __ ft
(b) Give a 95% confidence interval for the mean length of great white 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 in length"?
a. Since 20 ft does fall in this interval, we accept this claim.
b. Since 20 ft does not fall in this interval, we accept this claim.
c. Since 20 ft does fall in this interval, we reject this claim.
d. Since 20 ft does not fall in this interval, we reject this claim.
(c) Before accepting the conclusions of (b), you need more information about the data. What would you like to know? (Select all that apply.)
Had these sharks just eaten?
Can these numbers be considered an SRS from this population?
Were these all full-grown sharks?
Were these all great white sharks?
Are these sharks dangerous?
Were they all male?
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Great white sharks are big and hungry. Here are the lengths in feet of 44 great whites.
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