Answered: opened. A sample of 24 customers was…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Question

The population mean waiting time to check out of a supermarket has been 4.75 minutes. Recently, in an effort to reduce the waiting time, the supermarket has experimented with a system in which infrared cameras use body heat and in-store software to determine how many lanes should be opened. A sample of 24 customers was selected, and their mean waiting time to check out was 4.1 minutes, with a sample standard deviation of 2.1 minutes. At the 0.05 significance level is there evidence that the population mean waiting time to check out is less than 4.75 minutes?

a. What are the null and alternate hypotheses?

H0: ______ _________ 4.75

H1: ______ _________ 4.75

b. What is the level of significance? (Round your answer to 2 decimal places.)

c. Compute the value of the test statistic? (2 points) (Round your answer to 3 decimal places. Negative values should have a minus sign in front of them)

d. Determine the p-value (Round your final answer to 4 decimal places.)

e. What is your decision regarding the null hypothesis? multiple choice:

Reject the null.

Fail to reject the null.

f. Interpret the result.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Expert Solution