The feeding habits of two species of net-casting spiders are studied. The species, the deinopis and menneus, coexist in eastern Australia. The following data were obtained on the size, in millimeters, of the prey of random samples of the two species: Deinopis: 12.9, 10.2, 7.4, 7.0, 10.5, 11.9, 7.1, 9.9, 14.4, 11.3 (ã1 = 10.26, s1 = 2.5136) Menneus: 10.2, 6.9, 10.9, 11.0, 10.1, 5.3, 7.5, 10.3, 9.2, 8.8 (2 = 9.02, s2 = 1.8966) (a) Find a point estimate for µ1 – µ2, the difference in average of the size of the prey. (b) State your assumptions to construct an exact (1 – a) confidence interval for µ1 – µ2. (c) Construct a two-sided 90% confidence interval for µi – µ2.

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The feeding habits of two species of net-casting spiders are studied. The species, the deinopis
and menneus, coexist in eastern Australia. The following data were obtained on the size, in millimeters,
of the prey of random samples of the two species:
Deinopis: 12.9, 10.2, 7.4, 7.0, 10.5, 11.9, 7.1, 9.9, 14.4, 11.3 (71 =
10.26, s1 = 2.5136)
Menneus: 10.2, 6.9, 10.9, 11.0, 10.1, 5.3, 7.5, 10.3, 9.2, 8.8 (T2 = 9.02, s2 =
1.8966)
(a)
Find a point estimate for µi
µ2, the difference in average of the size of the prey.
(b)
State your assumptions to construct an exact (1 – a) confidence interval for µ1 – µ2.
(c)
Construct a two-sided 90% confidence interval for u1
(d)
Draw a conclusion.
Transcribed Image Text:The feeding habits of two species of net-casting spiders are studied. The species, the deinopis and menneus, coexist in eastern Australia. The following data were obtained on the size, in millimeters, of the prey of random samples of the two species: Deinopis: 12.9, 10.2, 7.4, 7.0, 10.5, 11.9, 7.1, 9.9, 14.4, 11.3 (71 = 10.26, s1 = 2.5136) Menneus: 10.2, 6.9, 10.9, 11.0, 10.1, 5.3, 7.5, 10.3, 9.2, 8.8 (T2 = 9.02, s2 = 1.8966) (a) Find a point estimate for µi µ2, the difference in average of the size of the prey. (b) State your assumptions to construct an exact (1 – a) confidence interval for µ1 – µ2. (c) Construct a two-sided 90% confidence interval for u1 (d) Draw a conclusion.
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