Question
In: Statistics and Probability
In a large corporation, 65% of the employees are male. A random sample of 5 employees...
In a large corporation, 65% of the employees are male. A random sample of 5 employees is
selected. We wish to determine the probability of selecting exactly 3 males. Use an appropriate
probability distribution to answer the following:
(a) Define the variable of interest for this scenario.
(b) What is the probability that the sample contains exactly three male employees?
(c) Justify the suitability of the probability distribution that you used to solve part (a).
(d) What is the expected number of male employees in the sample?
Solutions
orchestra answered 1 year agoRelated Solutions
In a large corporation, 65% of the employees are male. A random sample of 5 employees...
In a large corporation, 65% of the employees are male. A random
sample of 5 employees is selected. We wish to determine the
probability of selecting exactly 3 males. Use an appropriate
probability distribution to answer the following:
(a) Define the variable of interest for this scenario.
(b) What is the probability that the sample contains exactly
three male employees?
(c) Justify the suitability of the probability distribution that
you used to solve part (a).
(d) What is the expected...
5. Thirty percent of the employees of a large company are minorities. A random sample of...
5. Thirty percent of the employees of a large company are
minorities. A random sample of 8 employees is selected.
(Total: 7 marks; a-c: 2 marks each, d: 1 mark)
a. What is the probability that the sample contains exactly 7
minorities?
b. What is the probability that the sample contains less than
5 minorities?
c. What is the probability that the sample contains exactly 1
non-minority?
d. What is the expected number of minorities in the
sample
In a large university, 20% of the students are male. If a random sample of twenty...
In a large university, 20% of the
students are male. If a random sample of twenty two students is
selected
a.
What is the probability that the sample contains exactly twelve
male students?
b.
What is the probability that the sample will contain no male
students?
c.
What is the probability that the sample will contain exactly
twenty female students?
d.
What is the probability that the sample will contain more than
nine male students?
e.
What is the probability...
The records of a random sample of 25 Amazon employees in a large city showed that...
The records of a random sample of 25 Amazon employees in a large
city showed that the average years these employees had worked for
the Amazon was ?̅= 4 years. Assume that we know that the population
distribution of years Amazon employees have spent with the company
is approximately Normal, with standard deviation ? = 1.3 years.
Assume all conditions have been met. Construct and interpret a 99%
confidence interval for the true mean years the population of
Amazon employees...
Employees in a large company are entitled to 15-minute coffee breaks. A random sample of the...
Employees in a large company are entitled to 15-minute coffee
breaks. A random sample of the duration of coffee breaks for 10
employees was taken with the times shown below. Assuming that the
times are normally distributed, is there enough evidence at the 5%
significance level to indicate that on average employees are taking
longer coffee breaks than they are entitled to?
Data Collected
n
x
1
12
2
16
3
14
4
18
5
21
6
17
7
19...
Each person in a random sample of 228 male teenagers and a random sample of 305...
Each person in a random sample of 228 male teenagers and a
random sample of 305 female teenagers was asked how many hours he
or she spent online in a typical week. The sample mean and standard
deviation were 15.2 hours and 11.3 hours for males and 14.2 and
11.7 for females. (Use a statistical computer package to calculate
the P-value. Use μmales − μfemales. Round your test statistic to
two decimal places, your df down to the nearest whole...
A random sample of 100 employees from 5 different companies was randomly selected, and the number...
A random sample of 100 employees from 5 different companies was
randomly selected, and the number who take public transportation to
work was recorded. The results are listed below. Perform a
homogeneity of proportions test to test the claim that the
proportion who take public transportation to work is the same in
all 5 companies. Use α= 0.01.
1
2
3
4
5
Use Public Trans.
18
25
12
33
22
Don't Use Public Trans.
82
75
88
67
78...
A simple random sample of 60 items resulted in a sample mean of 65. The population...
A simple random sample of 60 items resulted in a sample mean of
65. The population standard deviation is 16. a. Compute the 95%
confidence interval for the population mean (to 1 decimal). ( , )
b. Assume that the same sample mean was obtained from a sample of
120 items. Provide a 95% confidence interval for the population
mean (to 2 decimals). ( , ) c. What is the effect of a larger
sample size on the margin of...
A simple random sample of 60 items resulted in a sample mean of 65. The population...
A simple random sample of 60 items resulted in a sample mean of
65. The population standard deviation is 16. a. Compute the 95%
confidence interval for the population mean (to 1 decimal). ( , )
b. Assume that the same sample mean was obtained from a sample of
120 items. Provide a 95% confidence interval for the population
mean (to 2 decimals). ( , ) c. What is the effect of a larger
sample size on the margin of...
A simple random sample has a sample size of n = 65. Given the population is...
A simple random sample has a sample size of n = 65. Given the
population is normally distributed, find the critical value ta/2
corresponding to a 99% confidence level.
a) 2.678
b) 2.575
c) 2.000
d) 2.660
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