•Let’s say someone claims the average population size is 600 feet squared and the housing authority is skeptical of this and thinks this average is too small. It takes out a sample of n=81 and finds the averages of these samples to be 615. It is miraculously known that the standard deviation is σ= 150.
•Let’s say a claim is now made the average population size is 654 feet and the housing authority says this figure is too big. Using the same sample and known standard deviation above find the p-value? At α-level= 0.05 , do we reject or fail to reject Ho?
•Let’s say someone claims the average population size is 600 feet squared and the housing authority...
2. One Sample t-test for Population Mean A vendor claims that the average weight of a shipment of parts is 1.84. The customer randomly chooses 64 parts and finds the sample has an average of 1.88 and standard deviation of 0.03. Should the customer reject the lot? Assume the customer wants to be 95% confident that the supplier's claim is incorrect before he rejects. (This is the same as the last example, except that 0.03 is the sample standard deviation...
A school authority claims that the average height of students is 178 cm. A researcher has taken a well-designed survey and his sample mean is 177.5 cm and the sample standard deviation is 2. The sample size is 25. Which statement is correct? a.) The result of the survey is statistically significant. b.) The sample mean and population mean is the same. c.) The result of the survey is biased. d.) The difference exists due to chance since the test statistic is small
1. A well know Statistical Institution claims that the average College tuition for a law degree costs at least thirty five thousand dollars. Analyzing a sample of fifty law schools in the vicinity of the study we found the sample had a mean tuition of $33,450 with a population standard deviation of $5,978 per year. At 2% level of significance test the Institution's claim. (a) The hypothesis structure, (b) The p-value and if you accept or reject the claim (Round...
1) The state of CT claims that the average time in prison is 15 years. A random survey of 75 inmates revealed that the average length of time in prison is 16.4 years with a standard deviation of 6.7 years. Conduct a hypothesis to test the state of CT's claim. What type of test should be run? t-test of a mean z-test of a proportion The alternative hypothesis indicates a right-tailed test left-tailed test two-tailed test Calculate the p-value. Keep...