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A builder claims that air conditioners are installed in at least 85% of all homes being constructed today in the city of Tucson, Arizona. The city of Tucson would like to test this claim and estimate the poputlation proportion of houses that have air conditioners installed. The city took a simple random sample of 86 new homes, which indicated that 81 had air conditioners installed. Test whether there is significant evidence to support the builders claim. Use a significance level of 0.01.
a) What is the parameter of interest? (include context)
b) State the null and alternative hypothesis.
c) Check the conditions of inference.
d) Calculate the test statistic, show work.
e) Give the appropriate p-value and state whether it is one-sided or two-sided.
f) Calculate the appropriate 99% confidence interval. Show work.
g) Finally, using the results from above, summarize your conclusions to the city of Tucson. Use the four part conclusion method.
What is the P-value of the test, assume the standard deviation is 3 years, a 95% confidence interval for the average time
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You are interested in determining the average cost of a 3-minute telephone call to locations within the continental U.S.
You take a random sample and perform a hypothesis test, getting a p-value of 0.2578. What is the appropriate conclusion? Conclude at the 5% level of significance.
Sam Hill, Director of Media Research in Christchurch,
If 25 loads are chosen at random for a weight check, find the probability that the mean weight of those loads is less than 44.24 tons. Assume that the variable is normally distributed.
A quality control engineer is interested in the mean length of sheet insulation being cut automatically by machine. The desired length of the insulation is 12 feet. It is known that the standard deviation in the cutting length is 0.15 feet. A sam..
Determine the median, and the standard deviation. Determine the coefficient of skewness using Pearson's method. Listed below are the commissions earned ($000) last year by the sales representatives at the Furniture Patch, Inc.
Using the business problem selected ( business, economic or marketing)develop a problem statement which can be addressed with survey research. Prepare a 10-13-question survey to collect primary data regarding your selected problem statement.
What is a discrete and continuous random variable? What is a probability distribution for a discrete random variable? Please provide examples to illustrate your answer? Please no textbook or internet examples, original examples only.
Frequently, tests that yield abnormal results are repeated for confirmation. What is the probability that for a normal person a test will be at least 1.5 times as high as the upper limit of normal on two separate occasions?
Use the hypergeometric formula to find this probability. The lottery commission also pays if a contestant matches 4 or 5 of the 6 winning numbers. Hint: Divide the 44 numbers into two groups, winning numbers and nonwinning numbers.
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