Question
1. Of the PhD's in mathematics/statistics awarded to US citizens, about 35% are earned by women....
1. Of the PhD's in mathematics/statistics awarded to US citizens, about 35% are earned by women. Suppose a sample of 400 mathematics/statistics PhD's is taken.
(a) How many in the sample are expected to be men? Answer: 260
(b) What is the probability that at least 140 are women? Answer: 1/2
(c) What is the probability that fewer than 200 are men? Answer: about 0 (5.6.9)
Homework Answers
Answer #1
(a) How many in the sample are expected to be men? Answer: 260
0.65 * 400 = 260
(b) What is the probability that at least 140 are women? Answer: 1/2
z = (140 - 140)/
0.35
* 0.65 * 400 = 0
P(z > 0) = 0.5 = 1/2
(c) What is the probability that fewer than 200 are men? Answer: about 0 (5.6.9)
z = (200 - 260)/0.35
* 0.65 * 400 = -6.29
P(z < -6.29) = 0
Please give me a thumbs-up if this helps you out. Thank you!
Not the answer you're looking for?
Similar Questions
1. The probability of success for a new experimental treatment is 0.80 in women. Assuming the same...
1. The probability of success for a new experimental treatment
is 0.80 in women. Assuming the same probability of
success applies to men, a new trial is conducted to test the
treatment in a sample of 6 men. Note that this defines a
binomial random variable.
What is the minimum number of possible
successes?
What is the maximum number of
possible successes?
What is the expected number of successes?
Report to one decimal place, such as 1.2.
2. Continuing from the previous...
1. According to Statistics Canada, about 71% of commuters in Canada drive to work. Suppose 150...
1. According to Statistics Canada, about 71% of commuters in
Canada drive to work. Suppose 150 Canadian commuters are randomly
sampled.
(a) What is the probability that fewer than 105 commuters drive
to work?
(b) What is the probability that between 110 and 120 (inclusive)
commuters drive to work?
(c) What is the probability that more than 95 commuters drive to
work?
Could you please show all steps, thank you.
A sample of scores for men and women from an examination in Statistics 201 were: Men...
A sample of scores for men and women from an examination in
Statistics 201 were:
Men
68
88
57
56
74
76
95
Women
55
76
70
81
58
56
87
86
46
47
Given that the null hypothesis and the alternative hypothesis
are:
H0: μm -
μw ≤ -1
H1: μm - μw
> -1
and using a 0.025 significance level conduct a t-test
about a difference in population means:
a)
What is the correct decision rule?
Reject H0...
2.A researcher believes that about 70% of the seeds planted with the aid of a new...
2.A researcher believes that about 70% of the seeds planted with
the aid of a new chemical fertilizer will germinate. He chooses a
random sample of 140 seeds and plants them with the aid of the
fertilizer. Assuming his belief to be true, approximate the
probability that more than 97 of the 140 seeds will germinate. Use
the normal approximation to the binomial with a correction for
continuity.
Round your answer to at least three decimal places. Do not round...
1 ) In a study done by Statistics Weekly, they found that 12% of people believe...
1 ) In a study done by Statistics Weekly, they found that 12% of
people believe that there will eventually be a zombie apocalypse.
Suppose we have a random sample of 500, would it be unusual to find
43 people who believe that there will eventually be a zombie
apocalypse. Would it be unusual to find 70 people who believe that
there will eventually be a zombie apocalypse?
2)-If a flight is on time 90% of the time, use a...
A sample of scores for men and women from an examination in Statistics 201 were: Men...
A sample of scores for men and women from an examination in
Statistics 201 were:
Men
82
74
93
88
75
52
93
48
91
56
51
Women
82
79
82
55
89
75
60
63
72
47
Given that the null hypothesis and the alternative hypothesis
are:
H0: μm -
μw ≤ 5
H1: μm - μw
> 5
and using a 0.05 significance level conduct a t-test
about a difference in population means:
a)
What is the correct...
A sample of scores for men and women from an examination in Statistics 201 were: Men...
A sample of scores for men and women from an examination in
Statistics 201 were:
Men
62
91
92
77
69
86
64
60
94
Women
51
79
62
88
80
50
87
65
Given that the null hypothesis and the alternative hypothesis
are:
H0: μm -
μw = -5
H1: μm - μw ≠
-5
and using a 0.05 significance level conduct a t-test
about a difference in population means:
a)
What is the correct decision rule?
Reject H0...
A sample of scores for men and women from an examination in Statistics 201 were: Men...
A sample of scores for men and women from an examination in
Statistics 201 were:
Men
78
69
45
81
72
82
84
46
58
Women
67
49
88
59
80
73
91
61
45
Given that the null hypothesis and the alternative hypothesis
are:
H0: μm -
μw ≤ 3
H1: μm - μw
> 3
and using a 0.025 significance level conduct a t-test
about a difference in population means:
a)
What is the correct decision rule?
Reject...
A sample of scores for men and women from an examination in Statistics 201 were: Men...
A sample of scores for men and women from an examination in
Statistics 201 were:
Men
88
70
87
53
45
58
71
48
61
81
Women
70
77
60
84
74
89
94
50
66
61
Given that the null hypothesis and the alternative hypothesis
are:
H0: μm -
μw ≤ -2
H1: μm - μw
> -2
and using a 0.05 significance level conduct a t-test
about a difference in population means:
a)
What is the correct decision...
1- In a study done by Statistics Weekly, they found that 12% of people believe that...
1- In a study done by Statistics Weekly, they found that 12% of
people believe that there will eventually be a zombie apocalypse.
Suppose we have a random sample of 500, would it be unusual to find
43 people who believe that there will eventually be a zombie
apocalypse. Would it be unusual to find 70 people who believe that
there will eventually be a zombie apocalypse?
2-The age at the time of marriage was obtained for a random
sample...
ADVERTISEMENT
Need Online Homework Help?
Get Answers For Free
Most questions answered within 1 hours.
ADVERTISEMENT
Active Questions
asked 1 minute ago
asked 33 minutes ago
asked 55 minutes ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 2 hours ago
asked 2 hours ago
asked 2 hours ago
asked 2 hours ago
asked 3 hours ago