Suppose we wanted to build a 94% confidence interval to estimate the true mean retirement age...
Suppose we wanted to build a 94% confidence interval to estimate the true mean retirement age for Canadian sailors using a sample size of n = 100. What critical value would be used?
Homework Answers
Solution :
Given that ,
n = 100
df = 100 - 1 = 99
/ 2 = 0.06 / 2 = 0.03
t
/2,df = 1.903
Critical value = 1.903
Add Answer to:
Suppose we wanted to build a 94% confidence interval to estimate
the true mean retirement age...
Suppose you construct a 95% confidence interval estimate of the true population mean by conducting a...
Suppose you construct a 95% confidence interval estimate of the true population mean by conducting a random sample of size n=100. Your sample mean x (with a bar over it) = 80.5 and your calculated maximum error of the estimate is E = 3.5. What does this suggest? Circle answer. a. in 5% of all samples of this size, the mean is more than 84, b. in 95% of all samples of this size, the mean is at least 77,...
Let's say we have constructed a 95% confidence interval estimate for a population mean. Which of...
Let's say we have constructed a 95% confidence interval estimate for a population mean. Which of the following statements would be correct? A. We expect that 95% of the intervals so constructed would contain the true population mean. B. We are 95% sure that the true population mean lies either within the constructed interval or outside the constructed interval. C. Taking 100 samples of the same size, and constructing a new confidence interval from each sample, would yield five intervals...
Suppose you wish to estimate the mean of a normal population using a 95% confidence interval, and...
Suppose you wish to estimate the mean of a normal population using a 95% confidence interval, and you know from prior information that σ2 ≈ 1. a. To see the effect of the sample size on the width of the confidence interval, calculate the width of the confidence interval for n = 16, 25, 49, 100, and 400. b. Plot the width as a function of sample size n on graph paper. Connect the points by a smooth curve and...
Suppose that we would like to create and interval estimate of the mean value of student’s...
Suppose that we would like to create and interval estimate of the mean value of student’s score on a test. We have the following information about 10 randomly selected students, x⎯⎯=75, and s=9. Assume that the test scores for the population of the students are normally distributed. What critical points should we choose to compute a 90% confidence interval? a. ±z.05 b. ±z0.1 c. ±t10,.1 d. ±t9,.05 Weights of a newborn baby have a mean of 3000 grams and a...
QUESTION 21 If we change a 90% confidence interval estimate to a 99% confidence interval estimate...
QUESTION 21 If we change a 90% confidence interval estimate to a 99% confidence interval estimate while holding sample size constant, we can expect a. the width of the confidence interval to increase. b. the width of the confidence interval to decrease. c. the width of the confidence interval to remain the same. d. the sample size to increase. QUESTION 22 Which one of the following is a correct statement about the probability distribution of a t random variable? a....
Suppose that you are wanting to estimate the mean of a population in which the standard...
Suppose that you are wanting to estimate the mean of a
population in which the standard deviation,
, is known to be 5. You take a random sample of size n=50 from the
population and determine that the mean of the sample is 22.4.
a. What is the standard error (of the mean) to two decimal
places?
b. If you wanted 94% confidence in your results, then what would
be the maximum allowable error (error of the estimate), E, to...
Suppose we have an existing confidence interval for a population mean. If we increase the sample...
Suppose we have an existing confidence interval for a population mean. If we increase the sample size by a factor of 100, what happens to the width of the confidence interval? a) It remains the same. b) It decreases by a factor of 100. c) It increases by a factor of 10. d) It decreases by a factor of 10.
8.1.5 Question Help Determine the 95% confidence interval estimate for the population mean of a normal...
8.1.5 Question Help Determine the 95% confidence interval estimate for the population mean of a normal distribution given n = 100, o = 133, and x = 1,500 The 95% confidence interval for the population mean is from to (Round to two decimal places as needed. Use ascending order.) 8.1.14-T Question Help As a follow-up to a report on gas consumption, a consumer group conducted a study of SUV owners to estimate the mean mileage for their vehicles. A simple...
Q12. a) Suppose the given confidence interval estimates the true population mean as 3.5 < u...
Q12. a) Suppose the given confidence interval estimates the true population mean as 3.5 < u < 13.1 with a 95% level of confidence when o is known. (1) Find the point estimates for the unknown population mean. (ii) Find the margin of error. (iii) Give the interpretation of the confidence interval. (iv) Name two ways of decreasing the width of the confidence interval. b) State the assumptions necessary for linear regression model Y = A + Bx + E...
8. (9 pts) Suppose that we want to construct a 95% confidence interval to estimate the...
8. (9 pts) Suppose that we want to construct a 95% confidence interval to estimate the percentage of voters who would vote a candidate. We suggest that approximately 46% would vote for the candidate. Suppose that we want the margin of error for the confidence interval is no more than 1%. Determine how large the sample size should be.
Suppose that you are wanting to estimate the mean of a
population in which the standard deviation,
, is known to be 5. You take a random sample of size n=50 from the
population and determine that the mean of the sample is 22.4.
a. What is the standard error (of the mean) to two decimal
places?
b. If you wanted 94% confidence in your results, then what would
be the maximum allowable error (error of the estimate), E, to...
8.1.5 Question Help Determine the 95% confidence interval estimate for the population mean of a normal distribution given n = 100, o = 133, and x = 1,500 The 95% confidence interval for the population mean is from to (Round to two decimal places as needed. Use ascending order.) 8.1.14-T Question Help As a follow-up to a report on gas consumption, a consumer group conducted a study of SUV owners to estimate the mean mileage for their vehicles. A simple...
Q12. a) Suppose the given confidence interval estimates the true population mean as 3.5 < u < 13.1 with a 95% level of confidence when o is known. (1) Find the point estimates for the unknown population mean. (ii) Find the margin of error. (iii) Give the interpretation of the confidence interval. (iv) Name two ways of decreasing the width of the confidence interval. b) State the assumptions necessary for linear regression model Y = A + Bx + E...
Most questions answered within 3 hours.
-
What is the Z score?
Use the following number to answer the question below:
X =...
asked 3 seconds from now -
The speed of the earth in its orbit is 29.8 km / s. Considering a displacement...
asked 3 minutes ago -
Find a source code of a program or developed software system.
You can select any source...
asked 2 minutes ago -
Suppose the events A and B have the property that P(B) = 0.5 and
P(A and...
asked 16 minutes ago -
Consider a C function negMat(), that negates each element of a K
x K matrix y[][],...
asked 13 minutes ago -
The random variable X is exponentially distributed, where X
represents the time it takes for a...
asked 17 minutes ago -
Identify an important local, national or international problem
that needs to be solved. Locate two or...
asked 16 minutes ago -
if a substance has a half-life of 19.1 years, how many years
will it take for...
asked 20 minutes ago -
1. Calculate M, m, mole fraction, mass %, ppb (mass/vol) for the
following solution: 0.550 mg...
asked 40 minutes ago -
To construct an oscillating LC system, you can choose
from a 13 mH inductor, a 4.6...
asked 41 minutes ago -
Java Please
Source Only
Program 2: All Hail Modulus Agustus! The modulus operator is
used all...
asked 1 hour ago -
What is the limiting reagent in a reaction of 12g of Sodium
chloride and 23g of...
asked 1 hour ago