See the attached file.
A supermarket advertises that the waiting time spend by customers waiting in line at the cash register is uniform between 0 and 6 minutes. A number of customers complain that they wait in line too long for this to be true. Joel, the manager, decides to test whether the complains are justified by testing the hypotheses:

Ho: µ = 3
H1: µ > 3

a) Sketch the distribution of waiting time when Ho is true. Be sure to label and give appropriate values on the axes.

b) One possible decision rule for Joel is to reject Ho if the next randomly chosen customer waits in line longer than 5 minutes. What is the chance of a Type I error using this decision rule?

c) Suppose the next randomly chose customer waits in line 5.5 minutes. What is the corresponding p-value? Using the significance level from part b, what is the decision and conclusion?

A supermarket advertises that the waiting time spend by customers waiting in line at the cash register is uniform between 0 and 6 minutes. A number of customers complain that they wait in line too long for this to be true. Joel, the manager, decides to test whether the complains are justified by testing the hypotheses:

Ho: µ = 3
H1: µ > 3

a) Sketch the distribution of waiting time when Ho is true. Be sure to label and give appropriate values on the axes.

The problem says that the distribution is uniform. That means that the probability of waiting for any amount of time between 0 and 6 minutes is constant. A uniform probability ...

Solution Summary

The solution discusses the probability distribution and p-values.

... be as small as possible, so that the probability of rejecting ... for a one-tail test) of the t- distribution with the ... Hypothesis, Null and Alternative, & P-values. ...

... to find the Z values that correspond to the p values from step ... The uniform distribution is a probability distribution that has equal probabilities for all ...

... What are the limits of these p-values to decide ... suitable test statistic and obtain its sampling distribution. ... α (which is nothing but probability of rejecting ...

... Details. Normal Probabilities. ...Probability for X <= X Value 89 Z Value -0.894427191 P(X<=89) 0.185546685. ...Distribution Plot Normal, Mean=0, StDev=1. 0.4. ...

... statistic, P-value (or range of P-values), critical value ... It's the probability that a randomly selected observation from a 20 distribution would be ...

... is given by following formula Probability of r ... r Using this formula to calculate probabilities is very ... There are binomial distribution tables for various n, r ...

... Normal Probabilities. Common Data Mean 7 Standard Deviation 1.5. Probability for X > X Value 8 Z Value 0.666666667 P(X>8) 0.2525. Page 5 Binomial distribution. ...

... Testing, Z-Tests, Standard Deviation, P-Values and Type ... then the sample mean x follows normal distribution with mean ... 0.9992 0.43 0.43 So, the probability of a ...

... The binomial distribution can be used to model the ... per month and their respective probabilities as shown ... Number of Breakdowns Probability 0 0.12 1 0.38 2 0.25 ...

... I will find the three p-values for a student who got .59 of 100 questions in a 100 ... Its calculation uses a probability distribution, but it is not a probability...