Suppose you are a researcher in a hospital. You are experimenting with a new tranquilizer. You collect data from a random sample of 8 patients. The period of effectiveness of the tranquilizer for each patient (in hours) is as follows:2.22.22.52.13332.8What is a point estimate for the population mean length of time. (Round answer to 4 decimal places) Which distribution should you use for this problem?t-distributionnormal distributionWhat must be true in order to construct a confidence interval in this situation?The population must be approximately normalThe population mean must be knownThe sample size must be greater than 30The population standard deviation must be knownConstruct a 80% confidence interval for the population mean length of time. Enter your answer as an open-interval (i.e., parentheses) Round upper and lower bounds to two decimal places What does it mean to be "80% confident" in this problem?80% of all simple random samples of size 8 from this population will result in confidence intervals that contain the population meanThe confidence interval contains 80% of all samplesThere is a 80% chance that the confidence interval contains the population meanSuppose that the company releases a statement that the mean time for all patients is 2 hours.Is this possible?NoYesIs it likely?NoYes

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Suppose you are a researcher in a hospital. You are experimenting with a new tranquilizer. You collect data from a random sample of 8 patients. The period of effectiveness of the tranquilizer for each patient (in hours) is as follows:

2.2
2.2
2.5
2.1
3
3
3
2.8

What is a point estimate for the population mean length of time. (Round answer to 4 decimal places)

Which distribution should you use for this problem?

t-distribution
normal distribution

What must be true in order to construct a confidence interval in this situation?

The population must be approximately normal
The population mean must be known
The sample size must be greater than 30
The population standard deviation must be known

Construct a 80% confidence interval for the population mean length of time. Enter your answer as an open-interval (i.e., parentheses) Round upper and lower bounds to two decimal places

What does it mean to be "80% confident" in this problem?

80% of all simple random samples of size 8 from this population will result in confidence intervals that contain the population mean
The confidence interval contains 80% of all samples
There is a 80% chance that the confidence interval contains the population mean

Suppose that the company releases a statement that the mean time for all patients is 2 hours.

Is this possible?

Is it likely?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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