Answered: val of time between the eruptions be…

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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Part 2

The probability that a randomly selected time interval is longer than

100

minutes is approximately

enter your response here.

(Round to four decimal places as needed.)

Part 3

(b) What is the probability that a random sample of

time intervals between eruptions has a mean longer than

100

minutes?

Part 4

The probability that the mean of a random sample of

time intervals is more than

100

minutes is approximately

enter your response here.

(Round to four decimal places as needed.)

Part 5

time intervals between eruptions has a mean longer than

100

minutes?

Part 6

The probability that the mean of a random sample of

time intervals is more than

100

minutes is approximately

enter your response here.

(Round to four decimal places as needed.)

Part 7

(d) What effect does increasing the sample size have on the probability? Provide an explanation for this result. Fill in the blanks below.

If the population mean is less than

100

minutes, then the probability that the sample mean of the time between eruptions is greater than

100

minutes

▼

increases

decreases

because the variability in the sample mean

▼

decreases

increases

as the sample size

▼

increases.

decreases.

Part 8

(e) What might you conclude if a random sample of

time intervals between eruptions has a mean longer than

100

minutes? Select all that apply.

The population mean is

88,

and this is just a rare sampling.

The population mean cannot be

88,

since the probability is so low.

The population mean may be greater than

88.

The population mean must be more than

88,

since the probability is so low.

The population mean is

88,

and this is an example of a typical sampling result.

The population mean may be less than

88.

The population mean must be less than

88,

since the probability is so low.

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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