Question: In constructing a confidence interval estimate of a population mean or testing a hypothesis about a population mean, why is the t distribution used so

In constructing a confidence interval estimate of a population mean or testing a hypothesis about a population mean, why is the t distribution used so much more often than the normal distribution?

Step by Step Solution

★★★★★

3.29 Rating (164 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Using the normal distribution requires that the population standard d... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

666-M-S-H-T (4266).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

Identify the distribution (normal, Student t, chi-square) that applies to each of the following situations. (If none of the three distributions is appropriate, then so state.) a. In constructing a...

Why dont we pool sample data when we are constructing a confidence interval estimate of p1 p2?

In constructing a confidence interval for the mean value of y for a mathematical model based on a natural log transformation of y, the initial confidence interval is: - E + E which we can then Which...

Use the given data to find the 95% confidence interval estimate of the population mean . Assume that the population has a normal distribution. Sample size =20 Mean x=106 Standard deviation =9 __

(1 point) Use the given data to find the 95% confidence interval estimate of the population mean . Assume that the population has a normal distribution. IQ scores of professional athletes: Sample...

Use the given data to find the 95% confidence interval estimate of the population mean . Assume that the population has a normal distribution. IQ scores of professional athletes: Sample size n = 15...

9.16 A bottled water distributor wants to determine whether the mean amount of water contained in 1-gallon bottles purchased from a nationally known water bottling company is actually 1 gallon. You...

MBA622 Syllabus Individual Work: Assignment 5 Resources Needed: \u0001 \u0001 \u0001 \u0001 Textbook: Review Chapters Software: Use Microsoft Excel to compute statistics and create tables, charts,...

Listed in the accompanying table are sample times (seconds) that animated children's movies showed the use of tobacco. The bootstrap method is planned to be used to construct a 90% confidence...

16. [-/1 Points] DETAILS MENDSTATC4 8.TB.001. MY NOTES ASK YOUR TEACHER Which of the following best describes an unbiased estimator? any sample statistic used to approximate a population parameter...

Beta and standard deviation differ as risk measures in that beta measures: a. Only unsystematic risk, while standard deviation measures total risk. b. Only systematic risk, while standard deviation...

Suppose a population consists of the 10 measurements (2, 3, 6, 8, 9, 12, 25, 29, 39, 50). Generate the 45 possible values for the sample mean based on a sample of n 5 2 observations per sample. a....

Find the critical numbers and the open intervals on which the function is increasing or decreasing. Use a graphing utility to verity your results. y = x 3 3 x + 3 STEP 1 : Begin by finding the...

Problem C Analysis of the transactions of the Moonlight Drive-In Theater for June 2010 disclosed the following: Ticket revenue USD 180000 Equipment rent expense 50000 Film rent expense 53400...

The marketers of shampoo products know that customers like their product to have a lot of foam. A manufacturer of shampoo claims that the foam height of his product exceeds 200 millimeters. It is...

Suppose we wish to test the hypothesis H0: = 85 versus the alternative H1: > 85 where = 16. Suppose that the true mean is = 86 and that in the practical context of the problem this is not a departure...

The cooling system in a nuclear submarine consists of an assembly of welded pipes through which a coolant is circulated. Specifications require that weld strength must meet or exceed 150 psi. (a)...

Suppose a stock index contains the stock of 3 firms A, B and C The stock prices for the three firms are $54. 551 and $43, respectively. The fems have 81 million, 163 million and 121 mibon shar...

STATISTICS TUTORS Question: In its quest for knowledge, nursing has relied heavily on the positivist approach to scientific enquiry Phenomenological enquiry identifies the essence of a phenomenon and...

Question 1 0 What would be the expected price of a stock when dividends are expected to grow at a 2 5 % rate for three years, then grow at a constant rate of 5 % , if the stock's required return is 1...