Perform the Indicated Hypothesis Test Use a 002 Significance Level to Test the Claim That the Mean

question 42

Essay

Perform the indicated hypothesis test. Assume that the two samples are independent simple random samples selected from normally distributed populations. Also assume that the population standard deviations are equal (?1 = ?2), so that the standard error of the difference between means is obtained by pooling the sample variances .
-A researcher was interested in comparing the response times of two different cab companies. Companies A and B were each called at 50 randomly selected times. The calls to company A were made independently of the calls to company B. The response times were recorded and the summary statistics were as follows:
$$\begin{array} { l c c } & \text { Company A } & \text { Company B } \\\hline \text { Mean response time } & 7.6 \mathrm { mins } & 6.9 \mathrm { mins } \\\text { Standard deviation } & 1.4 \mathrm { mins } & 1.7 \mathrm { mins }\end{array}$$
Use a 0.02 significance level to test the claim that the mean response time for company A differs from the mean response time for company B. Use the P-value method of hypothesis testing.

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Definitions:

Blood Ph

The measure of the acidity or alkalinity of the blood, with a normal range being slightly alkaline at about 7.35 to 7.45 on the pH scale.

Carbon Dioxide

A gas without color or smell, generated through the combustion of carbon-based substances and the respiratory process, which naturally occurs in the atmosphere and is taken in by plants during the process of photosynthesis.

Thyroid Cartilage

The largest cartilage in the larynx, often more prominent in males and commonly known as the Adam's apple, offering protection and supporting vocal function.

Glottis

The part of the larynx consisting of the vocal cords and the slit-like opening between them, playing a key role in producing sounds.