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The manufacturer of a certain type of ATM machine reports that the mean ATM withdrawal is $60. The manager of a convenience store with an ATM machine thinks that mean withdrawal from his machine is less than this amount. He obtains a simple random sample of 35 withdrawals over the past year and finds the sample mean to be $ 54. Assume that the population standard deviation is $ 13.
a) What is the sampling distribution of the sample mean? __________________
b) State the hypotheses- H0 and H1.
c) Compute a test statistic. _________________
d) Determine the corresponding p-value. __________________
e) Make a decision using the p-value approach at the given α = 0.05.
f) Compute a cutoff value (or critical value) ______________
g) Make a decision using the Decision Rule approach at given α = 0.05.
Solve this problem explicitly using all five steps of hypothesis testing, and illustrate your answer with a sketch showing the comparison distribution
What is the rejection point at α = .01 and indicate if you would accept or reject H o ?
Statistics is science of conducting studies to: Solve a system of equations.
An internal study by the Technology Services department at Lahey Electronics revealed company employees receive an average of two emails per hour. Suppose the arrival of these emails is approximated by the Poisson distribution.
Determine the cost Xs to develop the support system for which the probability of exceeding Xs is equal to 0.01?
Determine fraction of employees cost between $1,500 and $2,000 per year?
Supposing that the entire $10,000 can be spent on tires (ignoring other costs), and that the true fraction that will fail is approximately .05, can NHTSA attain its goal while staying within the budget? Describe.
Find the relative risk for moderate beer drinkers as compared to nondrinkers, finds the 95% confidence interval
About what percent of the observations lie between 55 and 65?
Plan the scatter diagram
Determine a 99% confidence interval for mean pH in rainfall. How would you distinguish interval?
Based on the expected value of the lottery ticket, would you pay $1 for a ticket? Round the answer to 3 decimal places. Omit the "tiny_mce_markerquot; sign in your response.)
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