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Diameters of a particular variety of oranges is approximately Normal with a standard deviation of 0.3 inch. How does the diameter of an orange at the 67th percentile compare with the mean diameter?
Find the maximum number of reservations that could be accepted so that the probability of having more passengers than seats is 0.05 or less. (Hint: You can use PHStat and a trial-and-error approach
Calculate x/-, s/2, and s for the expenses data. In addition, show that the two different formulas for calculating s/2 give the same result.
A recent survey of local cell phones retailers showed that of all cell phones sold last month. What is the probability that a cell phone sold last month had a camera or a music plaer?
40 observerations with a population standard deviation of 5 and a sample mean is 102. another 50 observation with a standard deviation of 6 and a sample mean of 6. conduct a hypothesis using the .05
A Taguchi experiment is to be performed on the effects of lift, bore, stroke, and compression on engine performance with horsepower as the outcome variable. The factors were tested at each of the fo
What is the approximate probability that the average weekly postage expense for the past 52 weeks will exceed the budgeted amount of $ 400?
A marketing firm wants to estimate the average amount spent by patients at the hospital pharmacy. For a sample of 65 randomly selected patients, the mean amount spent was $93.50 and the standard dev
If you select random samples of 25 calls, what percentage of the sample means would be between 7.8 and 8.2 minutes?
A local charity sells 100 raffle tickets for $20 each as part of a fund raiser. There is one Grand Prize of $500, one First Prize of $100, and 8 Second Prizes of $50. Find the expected winnings per
A simple random sample of 25 seniors from a large metropolitan area school district had a mean Math SAT score of 450 (sample mean). Suppose we know that the standard deviation of the population of M
You have a data set with 4,000 values whose mean is 2,225 with a standard deviation of 150 and a range of 1,625-2,825. How many data values are higher than 2,225?
Suppose that the firm wishes to choose a small sample of driving distances from the past year and carry out a hypothesis test for its suspicion. State the null hypothesis and the alternative hypothe
Fifty-four percent of men consider themselves basketball fans. You randomly select 10 men and ask each if he considers himself a basketball fan. Find the probability that the number who consider the
five black and five white marbles are in a box. without looking, three marbles are taken from the box without replacement. what is the probability that all three are black?
The life time of a certain kind of batteries has a mean life of 400 hours and standard deviation as 45 hours. Assuming the distribution of life time to be normal, find (i) the percentage of batterie
An airline estimates that 98% of people booked on their flights actually show up. If the airline books 76 people on a flight for which the maximum number is 74, what is the probability that the numb
To model this problem we could use a linear mixed model, with "Mix" as a random factor and "Oven" as a fixed factor. Would this be a proper way of modeling the problem?
Establish an interval estimate around the sample mean using one standard deviation of the mean.
The mean number of chocolate chips per cookie is 6.1. What is the probability that she will find less than 5 chips in a particular cookie?
If someone told you (a) Asian Americans and Pacific Islanders are a model minority,and (b) Asian Americans and Pacific Islanders belong to a single Asian American culture, what do you say to them t
An information source produces 0 and 1 with probabilities 0.3 and 0.7 respectively. What is the probability that a 1 was the output of the source if at the output of the channel a 1 is observed
(a) Construct a 90 percent confidence interval for the true mean weight. (b) What sample size would be necessary to estimate the true weight with an error of 0.02 grams with 90 percent confidence? (
He randomly selects 6 months of data consisting of tire sales (in thousands of tires) and advertising expenditures (in thousands of dollars). The equation of the least squares line is, y = 3 + 1x.
Use a graphical technique to compare the ages, household incomes, and education of the five groups of car buyers.