Im am so lost....

Question

A bank conducts a survey in which it randomly samples 400 of it customers. The survey asks the customers which way they use the bank the most, (1) interacting with teller, (2)atm use, (3) internet bank service. It was also asked their level of satifaction on the service they mostly used. (on a scale from 0 to 10, 0 being poor and 10 being excellent) does this mean satifaction differ according to how they most use the bank?
A) Identifing notation, state the null and alternitive hypotheses for conducting an ANOVA with data from the survey?
B) Report the df values for this ANOVA, about what range of f test statistic values give the p values below 0.05?
C) For the data, F=0.046 and P=0.63, what can you conclude?
D) What were the assumptions on which the ANOVA was based, which assumptions is most important?

Answer 1

a) µ1= interacting with teller at bank, µ2= using ATMs, µ3= using bank’s internet service H0: µ1= µ2= µ3 vs Ha: at least one of the means is different from the others
b) d.f.G. = 3-1=2 degrees of freedom; d.f.E = 400-3 = 397;
For this combination of degrees of freedom, an F value greater than about 3.0185 will give a p-value below 0.05.
c) A normal level of significance for hypothesis testing is either 0.05 and 0.01. Since the p-value is 0.63, we are unable to reject the null hypothesis. We don’t have enough evidence to support a claim that the mean satisfaction levels for the three types of customers are different from each other. To conclude, the mean satisfaction level doesn’t differ for how customers use the bank.