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Please answer both questions using a minimum of 100 words. Use examples or references to support the solution. All reference sources and examples should be based only in USA.
1. A common question many have is why study statistics in the first place.
2. Say we have a sample of 100 with mean 5 and std of 0.5 and you do not know the Population Sigma. How do you go about calculating different probabilities--say an item was selected at random and we wanted to know how far it is from the mean or the probability that it is at least 4.5 or more?
Population and the sample proportion of grandparents as primary caregivers (-hat) is to be calculated. What is the mean of the sampling distribution of -hat?
Suppose that you are purchasing cases of wine and that periodically you select a test case to determine the adequacy of the bottles' seals. To do this you randomly select and test 3 bottles int he case.
State the multiple regression equation. Interpret the meaning of the slopes in the equation. Predict the salary for a 40-year-old male employee with 5 years of experience.
Assume that a lot from product 5% non-conforming is submitted. Using Poisson Distribution compute the approximate probabilities that: the lot will be accepted and still in a reduced inspection.
A standard deviation of 7.3 years. What is the 95% confidence interval estimate for the average number of years served by all Supreme Court justices?
A local hardware store claims that the mean waiting time in line is less than 3.5 minutes. A random sample of 20 customers has a mean of 3.7 minutes with a standard deviation of 0.8 minute. If α = 0.05, test the store's claim.
With this important detail, are there any significant differences with LSD?
A company's employees are working to create a new energy bar. They would like the two key ingredients to be peanut butter and oats, and they want to make sure they have enough carbohydrates and protein in the bar to supply the athlete.
If 40 voters are chosen at random and X is the number of voters that support this referendum, find the standard deviation of X.
The number of cases in the data. Repeat until you get an idea how much variation you should expect. But isn"t there a hypothesis test we should apply?
Let F be a field and p(x) and irreducible polynomial over F. Prove that (p(x)) is a prime ideal of F[x]. If R has no divisors of zero, then neither does R[x].
Debit card purchases are for more than $50. Ms. Tina Stevens just purchased a new dress that cost $120. What is the probability that she paid cash or check?
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