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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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Part 1

a. At the

0.05

level of significance, is there evidence that the population mean waiting time is different from

3.7

minutes? State the null and alternative hypotheses.

H0:

▼

equals=

less than<

greater than or equals≥

greater than>

less than or equals≤

not equals≠

enter your response here

H1:

▼

less than<

greater than>

not equals≠

equals=

less than or equals≤

greater than or equals≥

enter your response here

(Type integers or decimals.)

Part 2

Determine the test statistic.

The test statistic is

enter your response here.

(Round to two decimal places as needed.)

Part 3

Find the p-value.

p-value=enter your response here

(Round to three decimal places as needed.)

Part 4

State the conclusion.

▼

Do not reject

Reject

H0.

There is

▼

sufficient

insufficient

evidence to conclude that the population mean waiting time is different from

3.7

minutes.

b. Because the sample size is

64,

do you need to be concerned about the shape of the population distribution when conducting the t test in (a)? Explain. Choose the correct answer below.

Yes, because n is equal to

64,

the sampling distribution of the t test cannot be determined. In general, the t test is only appropriate for a normally distributed sample.

Yes, because n is equal to

64,

the sampling distribution of the t test cannot be determined. In general, the t test requires a larger sample size.

No, because n is equal to

64,

the sampling distribution of the t test is approximately normal. In general, the t test is appropriate for a large sample size.

No, because n is equal to

64,

the sampling distribution of the t test is approximately normal. In general, the t test is appropriate for this sample size unless the population is skewed.

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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