Question

Use the following information to answer the next 15 exercises: Indicate if the hypothesis test is for

a. independent group means, population standard deviations, and/or variances known

b. independent group means, population standard deviations, and/or variances unknown

c. matched or paired samples

d. single mean

e. two proportions

f. single proportion

A new WiFi range booster is being offered to consumers. A researcher tests the native range of 12 different routers under the same conditions. The ranges are recorded. Then the researcher uses the new WiFi range booster and records the new ranges. Does the new WiFi range booster do a better job?

Short answer

Thus, Matched or paired samples.

Step-by-step solution

Given information

Consumers can now purchase a new WiFi range extender. Under the same settings, a researcher evaluates the native range of 12 different routers.

Indicate if the hypothesis test and does the new WiFi range booster do a better job.

Let${\mu }_d$ be the mean difference between the native and WiFi range enhancer ranges.

The statement's null and alternative hypotheses are as follows:

$$\begin{gathered} H_o:{\mu }_d=0 \\ {H}_1:{\mu }_d>0 \end{gathered}$$

As a result, matching or paired samples are used.