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From a study of the amounts of Coke in 12-ounce cans the researchers found that $n=36$, $bar{x}=12.19$, and $s=0.11$. Test the claim that the actual amount of coke exceeds 12 ounces. (Note: You can use the value of $s$ as the value of $sigma$ for your hypothesis test).
In other words, could you generate two sets of random numbers (of length, say, 50) and set out the calculations in detail to determine whether the random variables are independent using chi-squared.
The carpeting department supervisor claims that the average number of days between the receipt of a complaint and its resolution is 20 days or less.
A mean time of 90 minutes and standard deviation of 18 minutes. What proportion of new typists need between 1 and 2 hours to learn the computer system?
According to the study, the mean age of a self-employed individual is 46.6 years with a standard deviation of 10.8 years.
Find the value of Proportion and construct a 90% confidence interval for proportion.
An aptitude test is designed to measure leadership abilities of the test subjects. Suppose that the scores on the test are normally distributed with a mean of 580 and a standard deviation of 120.
The American Sugar Producers Association wants to estimate the mean yearly sugar consumption. A sample of 16 people reveals the mean yearly consumption to be 60 pounds with a standard deviation of 20 pounds.
The average monthly cot for a studio apartment in NYC is reported to be $1,000. You want to prove that average monthly rent is not what is stated.
A contingency table has 5 rows and 4 columns. How many degrees of freedom are there?
In a sample of 50 members of a local health club you find that 12 of these members meet weekly with a physical fitness trainer and that the average body mass index (BMI) of these 12 members is less than the average BMI of the other 38 club members..
Assume that a population is normally distributed with a mean of 100 and a standard deviation of 15. Would it be unusual for the mean of a sample of 3 to be 115 or more? Why or why not?
Derive the formula for the expected value Y, derive the formula for the moment generating function of Y
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