Statistics Final Exam Questions With Accurate Solutions.
An interval estimate may or may not contain the true value of the parameter
being estimated - accurate answers-True
The confidence level of an interval estimate of a parameter is the probability
that the interval estimate will contain the parameter. - accurate answers-True
The term Z ∝⁄2 ( σ/√n) describes - accurate answers-maximum error of
estimate
the formula for the confidence interval of the mean for a specific ∝ is -
accurate answers-x̄ - z ∝⁄2 ( σ/√n)<μ<x̄ + z ∝⁄2 ( σ/√n)
What value of z ∝⁄2 is used in confidence interval shown below (90%= μ) -
accurate answers-1.65
A sample of 35 different payroll departments found that employees worked
an average of 240.6 days a year. If the population standard deviation is 18.8
days, find the 90% confidence interval for the average number of days μ
worked by all employees who are paid through payroll departments -
accurate answers-235.4<μ<245.8
A student looked up the number of years served by 35 of the more than 100
supreme court justices. The average number of years served by those 35
justices was 13.8. If the standard deviation of the entire population is 7.3 year,
find the 95% confidence interval for the average number of years served by all
supreme court justices. - accurate answers-11.4<μ<16.2
A study of 55 apple trees showed that the average number of apples per tree
was 625 the standard deviation of the population is 100. Which of the
following is the 90% confidence interval for the mean number of apples per
tree for all trees. - accurate answers-481<μ<569
A study of 35 white mice showed that their average weight was 4.2 ounces.
The standard deviation of the population is 0.6 ounces. Which of the following
is the 98% confidence interval for the mean weight per white mouse. -
accurate answers-5.04<μ<5.36
, What is the value of ∝ used in describing the confidence interval shown below
(98%) - accurate answers-0.02
Identify the degree of confidence displayed in the confidence interval shown
below (∝⁄2=0.05 and ∝⁄2=0.05) - accurate answers-90%
The t-distribution must be used when the sample size is greater than 30 and
the variable is normally or approximately normally distributed. - accurate
answers-False
The t-distribution has a variance that is greater than one - accurate answers-
True
In a study using 13 samples, and in which the population variance is unknown,
the distribution that should be used to calculate confidence intervals is -
accurate answers-a t-distribution with 12 degrees of freedom
Find t∝⁄2 when n=12 for the 90% confidence interval for the mean - accurate
answers-1.80
The prices (in dollars) for a graphing calculator are shown below for 8 online
vendors. Estimate the true mean price for this particular calculator with 95%
confidence (124, 129,130, 155, 134, 158, 150, 142) - accurate answers-
136.6<μ<147.7
The winning team's score in 11 high school basketball games was recorded. If
the sample mean is 72.3 points and the sample standard deviation is 12.0
points, find the 98% confidence interval of the true mean - accurate answers-
52.1<μ<68.5
In a study of 100 new cars, 27 are white. Find p and q^ where p is the
proportion of new cars that are white. - accurate answers-p=0.32, q^=0.68
A random sample of 100 voters found that 44% were going to vote for a
certain candidate. Find the 99% limit for the population proportion of voters
who will vote for the candidate. - accurate answers-31.2%<p<56.8%
An interval estimate may or may not contain the true value of the parameter
being estimated - accurate answers-True
The confidence level of an interval estimate of a parameter is the probability
that the interval estimate will contain the parameter. - accurate answers-True
The term Z ∝⁄2 ( σ/√n) describes - accurate answers-maximum error of
estimate
the formula for the confidence interval of the mean for a specific ∝ is -
accurate answers-x̄ - z ∝⁄2 ( σ/√n)<μ<x̄ + z ∝⁄2 ( σ/√n)
What value of z ∝⁄2 is used in confidence interval shown below (90%= μ) -
accurate answers-1.65
A sample of 35 different payroll departments found that employees worked
an average of 240.6 days a year. If the population standard deviation is 18.8
days, find the 90% confidence interval for the average number of days μ
worked by all employees who are paid through payroll departments -
accurate answers-235.4<μ<245.8
A student looked up the number of years served by 35 of the more than 100
supreme court justices. The average number of years served by those 35
justices was 13.8. If the standard deviation of the entire population is 7.3 year,
find the 95% confidence interval for the average number of years served by all
supreme court justices. - accurate answers-11.4<μ<16.2
A study of 55 apple trees showed that the average number of apples per tree
was 625 the standard deviation of the population is 100. Which of the
following is the 90% confidence interval for the mean number of apples per
tree for all trees. - accurate answers-481<μ<569
A study of 35 white mice showed that their average weight was 4.2 ounces.
The standard deviation of the population is 0.6 ounces. Which of the following
is the 98% confidence interval for the mean weight per white mouse. -
accurate answers-5.04<μ<5.36
, What is the value of ∝ used in describing the confidence interval shown below
(98%) - accurate answers-0.02
Identify the degree of confidence displayed in the confidence interval shown
below (∝⁄2=0.05 and ∝⁄2=0.05) - accurate answers-90%
The t-distribution must be used when the sample size is greater than 30 and
the variable is normally or approximately normally distributed. - accurate
answers-False
The t-distribution has a variance that is greater than one - accurate answers-
True
In a study using 13 samples, and in which the population variance is unknown,
the distribution that should be used to calculate confidence intervals is -
accurate answers-a t-distribution with 12 degrees of freedom
Find t∝⁄2 when n=12 for the 90% confidence interval for the mean - accurate
answers-1.80
The prices (in dollars) for a graphing calculator are shown below for 8 online
vendors. Estimate the true mean price for this particular calculator with 95%
confidence (124, 129,130, 155, 134, 158, 150, 142) - accurate answers-
136.6<μ<147.7
The winning team's score in 11 high school basketball games was recorded. If
the sample mean is 72.3 points and the sample standard deviation is 12.0
points, find the 98% confidence interval of the true mean - accurate answers-
52.1<μ<68.5
In a study of 100 new cars, 27 are white. Find p and q^ where p is the
proportion of new cars that are white. - accurate answers-p=0.32, q^=0.68
A random sample of 100 voters found that 44% were going to vote for a
certain candidate. Find the 99% limit for the population proportion of voters
who will vote for the candidate. - accurate answers-31.2%<p<56.8%
