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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.


Answered 1 year ago
Answered 1 year ago
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g=Number of categories=3N=Total sample size=400\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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