# Deliverable

*label*Mathematics

*timer*Asked: Dec 22nd, 2017

*account_balance_wallet*$30

**Question description**

Formulate and evaluate hypothesis tests for population parameters based on sample statistics using both Critical Regions and P-Values, and be able to state results in a non-technical way that can be understood by consumers of the data instead of statisticians. Please see the file. All calculations should be provided on a separate Excel workbook that should be submitted.

## Tutor Answer

Here is my answer :)

Deliverable 05 – Worksheet

Instructions: The following worksheet describes two examples – one is an example for

independent samples and the other one for dependent samples. Your job is to demonstrate the

solution to each scenario by showing how to work through each example in detail. You are

expected to explain all of the steps in your own words.

Independent samples:

One of our researchers wishes to determine whether people with high blood pressure can reduce

their systolic blood pressure by taking a new drug we have developed. The sample data is shown

below, where 𝑥̅1 represents the mean blood pressure of the treatment group and 𝑥̅2 represents the

mean for the control group. Use a significance level of 0.01 and the critical value method to test

the claim that the drug reduces the blood pressure. We do not know the values of the population

standard deviations.

TREATMENT

CONTROL GROUP

GROUP

n1

80

n2 70

̅

̅

𝒙𝟏

186.7

𝒙𝟐 201.9

s1

38.5

s2 39.8

1. Write the hypotheses in symbolic form, determine if the test is right-tailed, lefttailed, or two tailed and explain why.

Answer and Explanation

Let 𝜇1 = Treatment population mean

Let 𝜇2 = Control population mean

𝐻0 : 𝜇1 = 𝜇2

𝐻𝑎 : 𝜇1 < 𝜇2

As we want to test the claim that the drug reduces the blood pressure we have a left-tailed

test. We need to evaluate and to compare the critical value and t-test on the left of the

normal distribution curve.

2. Calculate the critical value and the test statistic.

Answer and Explanation

Using a 0.01 significance level an assuming a z statistic test. The confidence interval is,

𝑧𝑐...

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