Answered: What is the z-statistic? If required,…

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

Transcribed Image Text:A test was conducted of two overnight mail delivery services. Two samples of identical deliveries were set up so that both delivery services were notified of the need for a delivery at the same time. The hours required to make each delivery follow. Do the data shown suggest a difference in the delivery times for the two services? Use a .05 le of significance for the test. Use Table 1 of Appendix B. Click on the datafile logo to reference the data. DATA file Service Delivery 1 2 24.5 26.0 28.0 21.0 18.0 36.0 25.0 21.0 24.0 26.0 31.0 28.0 25.5 32.0 20.0 19.5 28.0 29.0 22.0 23.5 29.5 30.0 3 4 6. 9. 10 11 What is the z-statistic? If required, round your answer to two decimal places. Enter negative values as negative number, if necessary. .30 What is the p-value? If required, round your answer to two decimal places. .7642 Conclude:

Expert Solution

Step 1

Mean and population standard deviation for service 1:

The mean can be obtained using the excel formula “=AVERAGE(A1:A12)”. From the Excel formula, the mean is 25.5.

The population variance can be obtained using the excel formula “=VAR.P(A1:A12)”. From the Excel formula, the population variance is 22.5.

Mean and population standard deviation for service 2:

The mean can be obtained using the excel formula “=AVERAGE(B1:B12)”. From the Excel formula, the mean is 26.0909.

The population variance can be obtained using the excel formula “=VAR.P(B1:B12)”. From the Excel formula, the population variance is 16.5372.

The z statistic value is,

$\begin{array}{rcl} z & = & \frac{({\bar{x}}_{1} - {\bar{x}}_{2}) - (μ_{1} - μ_{2})}{\sqrt{\frac{σ_{1}^{2}}{n_{1}} + \frac{σ_{2}^{2}}{n_{2}}}} \\ = & \frac{25.5 - 26.0909}{\sqrt{\frac{22.5}{11} + \frac{16.5372}{11}}} \\ = & \frac{- 0.5909}{1.8838} \\ = & - 0.31 \end{array}$

Thus, the z statistic value is -0.31.

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

Knowledge Booster

$Research Ethics$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions