1. state the distribution to be used for the test2. what is the P- VAlue 3. Draw a labeled and shaded diagram A researcher knew that before cell phones, a person made onaverage 2.8 phone calls per day. She believes that the number ofphone calls made per day today is higher. A random sample of30 people had a sample mean x = 3.1. The standard deviation forthe population found by a previous study is o = 0.8. Test thehypothesis that the population mean is 2.8 against thealternative hypothesis that the population mean is greater thanat the 0.05 level of significance.2.8,at

Answered: 1. state the distribution to be used…

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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Question

1. state the distribution to be used for the test

2. what is the P- VAlue

3. Draw a labeled and shaded diagram

A researcher knew that before cell phones, a person made on
average 2.8 phone calls per day. She believes that the number of
phone calls made per day today is higher. A random sample of
30 people had a sample mean x = 3.1. The standard deviation for
the population found by a previous study is o = 0.8. Test the
hypothesis that the population mean is 2.8 against the
alternative hypothesis that the population mean is greater than
at the 0.05 level of significance.
2.8,at

Expert Solution

Step 1

Purpose To perform a hypothesis test for a population mean, μ
Assumptions
1. Simple random sample
2. Normal population or large sample
3. σ known

z-test distribution to be used for the test.

Step 2

The null hypothesis is

$H_{0} : μ = 2.8$

Alternative hypothesis is:

$H_{α} : μ > 2.8$

Decide on the significance level, α.
We are to perform the test at the 5% significance level, or α = 0.05.

Compute the value of the test statistic

$\begin{array}{rcl} z & = & \frac{\bar{x} - μ_{0}}{\frac{σ}{\sqrt{n}}} \\ = & \frac{3.1 - 2.8}{\frac{0.8}{\sqrt{30}}} \\ = & \frac{0.3}{0.146059} \\ = & 2.0539 \end{array}$

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