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An engineering firm is evaluating their back charges. They originally believed their average back charge was $1800. They are concerned that the true average is higher, which could hurt their quarterly earnings. They randomly select 40 customers, and calculate the corresponding sample mean back charge to be $1950. If the standard deviation of back charges is $500, and alpha = 0.04, should the engineering firm be concerned? Perform an appropriate hypothesis test, showing the necessary calculations and/or explaining the process used to obtain the results.
A random sample has been taken from a normal distribution and the following confidence intervals constructed using the same data: (38.02, 61.98) and (39.95, 60.05). What is the value of the sample mean?
Let X bar be the average of n such independent measurements. Use Chebychev's inequality to estimate how large n should be such that P(|X bar - M |
State the null hypothesis H 0 and the alternative hypothesis H 1 that we would use for this test. Determining null and alternative hypotheses for the height of a plant.
The lower limit for a 95% confidence interval for the population proportion if a sample of size 200 had a 40 success is.
Sixty-four students in an introductory college economics class were asked how many credits they had earned in college, and how certain they were about their choice of major.
If we wish to be 95% certain of avoiding a Type I error, use these data to examine differences in the average distance traveled to the two clinics.
You do not need to collect data and actually conduct the test calculations. Rather,state the claim, define the null and alternate hypotheses, identify the test significance and the test statistic, and state the decision rule that will be used.
Assume gasoline prices for a region are normally distributed. Do the data you obtained provide enough evidence to reject the claim?
70% of all americans can do routine computations. If an employer were to hire 8 randomly selected americans, determine the probability distribution.
The daily revenue totals for the next 30 days will be monitored. What is the probability what the mean daily revenue for the next 30 days will exceed $7500?
A fair coin is tossed four times and X is number of heads on first three tosses and Y on last three. What is the joint probability mass function of x and y? What is the marginal pmf? Are X and Y independent?
Provide a brief description of the main features of these data from the scatter plot and Describe why you would use performance as the predictor variable and performane related pay as the dependent variable in such a model.
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