Japanese sturgeon is a subspecies of the sturgeon family indigenous to Japan and the Northwest Pacific. In a particular fish hatchery newly hatched baby Japanese sturgeon are kept in tanks for several weeks before being transferred to larger ponds, Dissolved oxygen in tank water is very tightly monitored by an electronic system and rigorously maintained at a target level of 6.5 milligrams per liter (mg/l). The fish hatchery looks to upgrade their water monitoring systems for tighter control of dissolved oxygen. A new system is evaluated against the old one currently being used in terms of the variance in dissolved oxygen. Thirty-one water samples from a tank operated with the new system were collected and 16 water samples from a tank operated with the old system were collected, all during the course of a day. The samples yield the following information. New Sample 1: n1 = 31, s? = 0.0121 Old Sample 2: n2 = 16, s, = 0.0319 Test, at the 5% level of significance (that is, with a = 0.05), whether the data provide sufficient evidence to conclude that the new system will provide a tighter control of dissolved oxygen in the tanks. Note that the hypotheses under consideration are as follows. H, : = 1 versus H, : < 1. Equivalently, we have: Ho : o - o = 0 versus H1 : o – o < 0. Answer the following questions. What is the value of the test statistic? (Select ] The relevant distribution for this test is the F-distribution with degrees of freedom v = dfj and v2 = df2 equal to (Select] v and (Select] respectively. The critical or rejection region for this test is of the form (-∞, a] where a = ( Select ) The decision from the test is to: ( Select ] v the null hypothesis.

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Japanese sturgeon is a subspecies of the sturgeon family indigenous to Japan and the Northwest Pacific.
In a particular fish hatchery newly hatched baby Japanese sturgeon are kept in tanks for several weeks before being transferred to larger ponds,
Dissolved oxygen in tank water is very tightly monitored by an electronic system and rigorously maintained at a target level of 6.5 milligrams per liter (mg/l).
The fish hatchery looks to upgrade their water monitoring systems for tighter control of dissolved oxygen.
A new system is evaluated against the old one currently being used in terms of the variance in dissolved oxygen.
Thirty-one water samples from a tank operated with the new system were collected and 16 water samples from a tank operated with the old system were collected, all during the course of a
day.
The samples yield the following information.
New Sample 1: nį = 31, s = 0.0121
Old Sample 2: n2
16, s = 0.0319
Test, at the 5% level of significance (that is, with a =
0.05), whether the data provide sufficient evidence to conclude that the new system will provide a tighter control of dissolved oxygen in
the tanks.
Note that the hypotheses under consideration are as follows.
Но :
1 versus H, :
< 1.
Equivalently, we have:
Họ : o – o = 0 versus H1 : o – o < 0.
Answer the following questions.
What is the value of the test statistic? [ Select ]
The relevant distribution for this test is the F-distribution with degrees of freedom v = dfj and v2 = df2 equal to [ Select ]
and [ Select]
respectively.
The critical or rejection region for this test is of the form (-0, a where a =
[ Select ]
The decision from the test is to: [ Select ]
the null hypothesis.
Transcribed Image Text:Japanese sturgeon is a subspecies of the sturgeon family indigenous to Japan and the Northwest Pacific. In a particular fish hatchery newly hatched baby Japanese sturgeon are kept in tanks for several weeks before being transferred to larger ponds, Dissolved oxygen in tank water is very tightly monitored by an electronic system and rigorously maintained at a target level of 6.5 milligrams per liter (mg/l). The fish hatchery looks to upgrade their water monitoring systems for tighter control of dissolved oxygen. A new system is evaluated against the old one currently being used in terms of the variance in dissolved oxygen. Thirty-one water samples from a tank operated with the new system were collected and 16 water samples from a tank operated with the old system were collected, all during the course of a day. The samples yield the following information. New Sample 1: nį = 31, s = 0.0121 Old Sample 2: n2 16, s = 0.0319 Test, at the 5% level of significance (that is, with a = 0.05), whether the data provide sufficient evidence to conclude that the new system will provide a tighter control of dissolved oxygen in the tanks. Note that the hypotheses under consideration are as follows. Но : 1 versus H, : < 1. Equivalently, we have: Họ : o – o = 0 versus H1 : o – o < 0. Answer the following questions. What is the value of the test statistic? [ Select ] The relevant distribution for this test is the F-distribution with degrees of freedom v = dfj and v2 = df2 equal to [ Select ] and [ Select] respectively. The critical or rejection region for this test is of the form (-0, a where a = [ Select ] The decision from the test is to: [ Select ] the null hypothesis.
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