Question
In: Statistics and Probability
A professor wishes to estimate the proportion of college students that have never cheated during a...
A professor wishes to estimate the proportion of college students that have never cheated
during a course. She wishes to estimate the proportion to be within 4.15% with 96%
confidence. How many teenagers are needed for the sample?
A. 613
B. 611
C. 612
D. 614
E. Insufficient information to answer the question
Solutions
Expert Solution
Solution :
Given that,
=
0.5 ( assume )
1 -
= 1 - 0.5 = 0.5
margin of error = E = 4.15% = 0.0415
At 96% confidence level the z is ,
= 1 - 96% = 1 - 0.96 = 0.04
/ 2 =0.02
Z/2
= Z0.02= 2.05 ( Using z table )
Sample size = n = (Z
/2
/ E)2 *
* (1 -
)
= (2.05 / 0.0415)2 * 0.5 * 0.5
= 611
Sample size =611
orchestra answered 2 years agoRelated Solutions
A sociologist wishes to estimate the proportion of parents of college-bound high school students who have...
A sociologist wishes to estimate the proportion of parents of
college-bound high school students who have not saved any money for
college. What sample size would she need for the estimate to be
correct within 6 percentage points with 95% confidence
(a) if she uses a similar study from 2015 that indicates that 32%
of parents had saved no money for college?
(b) if she does not use any prior estimates?
A professor states that in the United States the proportion of college students who own iPhones...
A professor states that in the United States the proportion of
college students who own iPhones is .66. She then splits the class
into two groups: Group 1 with students whose last name begins with
A-K and Group 2 with students whose last name begins with L-Z. She
then asks each group to count how many in that group own iPhones
and to calculate the group proportion of iPhone ownership. For
Group 1 the proportion is p1 and for Group...
A professor states that in the United States the proportion of college students who own iPhones...
A professor states that in the United States the proportion of
college students who own iPhones is .66. She then splits the class
into two groups: Group 1 with students whose last name begins with
A-K and Group 2 with students whose last name begins with L-Z. She
then asks each group to count how many in that group own iPhones
and to calculate the group proportion of iPhone ownership. For
Group 1 the proportion is p1 and for Group...
A professor states that in the United States the proportion of college students who own iPhones...
A professor states that in the United States the proportion of
college students who own iPhones is .66. She then splits the class
into two groups: Group 1 with students whose last name begins with
A-K and Group 2 with students whose last name begins with L-Z. She
then asks each group to count how many in that group own iPhones
and to calculate the group proportion of iPhone ownership. For
Group 1 the proportion is p1 and for Group...
A professor states that in the United States the proportion of college students who own iPhones...
A professor states that in the United States the proportion of
college students who own iPhones is .66. She then splits the class
into two groups: Group 1 with students whose last name begins with
A-K and Group 2 with students whose last name begins with L-Z. She
then asks each group to count how many in that group own iPhones
and to calculate the group proportion of iPhone ownership. For
Group 1 the proportion is p1 and for Group...
A college admissions director wishes to estimate the mean age of all students currently enrolled. In...
A college admissions director wishes to estimate the mean age of
all students currently enrolled. In a random sample of 81 students,
the mean age is found to be 20.51 years. From past studies, the
standard deviation of the population is known to be 2 years, and
the population is normally distributed. Construct a 99% confidence
interval of the population mean age. (Round off final answers to
two decimal places, if appropriate. Do not round off numbers taken
directly from...
A college admissions director wishes to estimate the mean age of all students currently enrolled. In...
A college admissions director wishes to estimate the mean age of
all students currently enrolled. In a random sample of 19 students,
the mean age is found to be 22.4 years. From past studies, the ages
of enrolled students are normally distributed with a standard
deviation of 9.5 years. Construct a 90% confidence interval for the
mean age of all students currently enrolled.
1. What is the critical value?
2. What is the standard deviation of the sample mean?
3....
A college admissions director wishes to estimate the mean age of all students currently enrolled. In...
A college admissions director wishes to estimate the mean age
of all students currently enrolled. In a random sample of 19
students, the mean age is found to be 22.4 years. From past
studies, the ages of enrolled students are normally distributed
with a standard deviation of 9.5 years. Construct a 90% confidence
interval for the mean age of all students currently enrolled.
1. what is the critical value ?
2. the margin of error?
A college admissions director wishes to estimate the mean age of all students currently enrolled. In...
A college admissions director wishes to estimate the mean age of
all students currently enrolled. In a random sample of 22 students,
the mean age is found to be 21.4 years. From past studies, the ages
of enrolled students are normally distributed with a standard
deviation of 10.2 years. Construct a 90% confidence interval for
the mean age of all students currently enrolled.
b. The standard deviation of the sample mean:
To estimate the average SAT scores of students in a college, six students in the college...
To estimate the average SAT scores of students in a college, six
students in the college are randomly selected and their SAT scores
are as follows: 1350, 1450, 1320, 1480, 1300, 1400.
(a) (3 points) What is the population of interest?
(b) (3 points) What is the value of sample median?
(c) (6 points) What is the lower quartile Q1 and the upper
quartile Q3 ?
(d) (3 points) What is the value of sample mean?
(e) (5 points) What...
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- ABC Inc. is evaluating a project that will increase annual sales by $230,000 and annual cash...
- Identify the behavior, values, and consumption patterns from people in New York City versus Milan Italy.
- A stock has a required return of 10%, the risk-free rate is 4.5%, and the market...
- How do the media options available to advertisers vary in different parts of the world? (Choose...
- Charming Paper Company sells to the 12 accounts listed here. Account Receivable Balance Outstanding Average...
- Computer Networks IT 210 Please Use your own words . sorry No handwriting no copy paste...
- I would like to integrate a bubble sort into this binary search in c ++ Thank...
ADVERTISEMENT