any studies have been conducted to test the effects of marijuana use on mental abilities. In one such study, groups of light and heavy users of marijuana in college were tested for memory recall, with the results given below. Use a a 0.05 significance level to test the claim that in the population of heavy marijuana users, the mean number of items sorted correctly is lower than the mean number in the population of light users.

Items sorted correctly by light marijuan users: n = 64,
x overbar equals

53.5

,
s = 3.6

Items sorted correctly by heavy marijuan users: n = 65,
x overbar equals

51.3

,
s = 4.5

a. Define the parameters

A.

p 1 equals

The proportion of light marijuana users

p 2 equals

The proportion of heavy marijuana users

B.

mu 1 equals

The mean number of light marijuana users

mu 2 equals

The mean number of heavy marijuan users

C.

p 1 equals

The proportion of items sorted correctly by all light marijuana users

p 2 equals

The proportion of items sorted correctly by all heavy marijuana users

D.

mu 1 equals

The mean number of items sorted correctly by all light marijuana users

mu 2 equals

The mean number of items sorted correctly by all heavy marijuana users

b. State the null and alternative hypotheses

A.

Upper H 0 : mu 1 equals

53.5

Upper H 1 : mu 2 equals

51.3

B.

Upper H 0 : mu 1 equals mu 2 Upper H 1 : mu 1 greater than mu 2

C.

Upper H 0 : p 1 equals p 2 Upper H 1 : p 1 greater than p 2

D.

Upper H 0 : mu 1 equals mu 2 Upper H 1 : mu 1 less than mu 2

c. Calculate the P-value. Which of these options is closest to its value?

A.

0.0005

B.

0.0013

C.

0.0049

D.

0.0027

d. State the technical conclusion

A.

Do not reject Upper H 0

B.

Reject Upper H 0

e. State the final conclusion

A.

There is not sufficient sample evidence to support the claim.

B.

There is sufficient evidence to warrant rejection of the claim.

C.

The sample data support the claim.

D.

There is not sufficient evidence to warrant rejection of the claim.

f. Should marijuana use be of concern to students?

A.

No

B.

Yes

Name: any studies have been conducted to test the effects of marijuana use o
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: any studies have been conducted to test the effects of marijuana use on mental abilities. In one such study, groups of light and heavy users of marijuana in college were tested for memory recall, with the results given below. Use a a 0.05 significa

Question

any studies have been conducted to test the effects of marijuana use on mental abilities. In one such study, groups of light and heavy users of marijuana in college were tested for memory recall, with the results given below. Use a a 0.05 significance level to test the claim that in the population of heavy marijuana users, the mean number of items sorted correctly is lower than the mean number in the population of light users.

Items sorted correctly by light marijuan users: n = 64,

x overbar equals

53.5

,

s = 3.6

Items sorted correctly by heavy marijuan users: n = 65,

x overbar equals

51.3

,

s = 4.5

a. Define the parameters

A.

p 1 equals

The proportion of light marijuana users

p 2 equals

The proportion of heavy marijuana users

B.

mu 1 equals

The mean number of light marijuana users

mu 2 equals

The mean number of heavy marijuan users

C.

p 1 equals

The proportion of items sorted correctly by all light marijuana users

p 2 equals

The proportion of items sorted correctly by all heavy marijuana users

D.

mu 1 equals

The mean number of items sorted correctly by all light marijuana users

mu 2 equals

The mean number of items sorted correctly by all heavy marijuana users

b. State the null and alternative hypotheses

A.

Upper H 0 : mu 1 equals

53.5

Upper H 1 : mu 2 equals

51.3

B.

Upper H 0 : mu 1 equals mu 2 Upper H 1 : mu 1 greater than mu 2

C.

Upper H 0 : p 1 equals p 2 Upper H 1 : p 1 greater than p 2

D.

Upper H 0 : mu 1 equals mu 2 Upper H 1 : mu 1 less than mu 2

c. Calculate the P-value. Which of these options is closest to its value?

A.

0.0005

B.

0.0013

C.

0.0049

D.

0.0027

d. State the technical conclusion

A.

Do not reject Upper H 0

B.

Reject Upper H 0

e. State the final conclusion

A.

There is not sufficient sample evidence to support the claim.

B.

There is sufficient evidence to warrant rejection of the claim.

C.

The sample data support the claim.

D.

There is not sufficient evidence to warrant rejection of the claim.

f. Should marijuana use be of concern to students?

A.

No

B.

Yes

Accepted Answer

a.
Let μ1 be the mean number of items sorted correctly by all light marijuana users, and μ2 be the…