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A bank conducts a survey in which it randomly samples 400 of its customers. The survey asks the customers which way they use the bank the most:

(1) interacting with a teller at the bank,

(2) using ATMs, or

(3) using the bank's online banking service.

It also asks their level of satisfaction with the service they most often use (on a scale of 0 to 10 with 0 = very poor and 10 = excellent). Does mean satisfaction differ according to how they most use the bank?

Identifying notation, state the null and alternative hypotheses for conducting an ANOVA with data from the survey.

Solution

VerifiedGiven:

$\begin{aligned} g&=\text{Number of categories}=3 \\ N&=\text{Total sample size}=400 \end{aligned}$

We need to determine the hypotheses corresponding to the one-way ANOVA test.

The null hypothesis states that all population means are equal, while the alternative hypothesis states the opposite of the null hypothesis.

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