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Fore each question, perform each of the following steps:
a. state the hypotheses and identify the claim.b. find the critical valuec. compute the test value.d. make the decision.e. summarize the results.
A machine fills 12-ounce bottles with soda. In order for the machine to function properly, the standard deviation of the sample must be less than or equal to 0.03 ounce. A sample of eight bottles is selected and the number of ounces of soda in each bottle is given below. At a= 0.05, can we reject the claim that the machine is functioning properly? Assume that the variable is normally distributed.
12.03 12.10 12.02 11.9812.00 12.05 11.97 11.99
Find the probability that the average diameter of those sand dollars is more than 2.707 centimeters. Assume that the variable is normally distributed.
Suppose that the null hypothesis is rejected and alternate hypothesis is accepted. Discuss the conclusion as a Type I error, a Type II error, or a correct decision, if in fact the defendant is innocent.
Five children under twelve are selected at random. The probability that the average number of hours that they spend each week watching television is at least 30 is about?
The author collected data consisting of the month of birth of actors who won Oscars. Use a 0.05 significance level to test the claim that Oscar winning actors are born in different months with the same frequency.
If samples of size 224 were repeatedly selected from the population of children born to mothers with HIV antibody, what would be the mean number of infected children per sample?
Parole board is examing five prisoners up for parole. let x= number of prisoners out of 5 on parole who become offenders. Find the probability distribution for x.
Use a .05 significance level to test claims that quarters manufactured with the new equipment have weights with a standard deviation less than .061
A state meat inspector in Iowa has been given the assignment of estimating the mean net weight of packages of ground chuck labeled "3 pounds." Of course, he realizes that the weights cannot be precisely 3 pounds.
A representative of the environmental protection agency (EPA) wants to select samples from 10 landfills. The director has 15 landfills from which she can collect samples.How many different samples are possible?
The purchasing company can detect the defective wiring. What is the probability that the purchasing company will find the following?
A mean of 20 minutes and a standard deviation of 3 minutes. how long does it take the slowest 10% of the students to walk from the dorms to the chemistry lab.
For machine gun ammunition to be acceptable, the US Army requires that 96 percent of rounds fired hit a specified target. The test is to fire a 50 round burst at the target and observe whether this condition is met.
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