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Question: A random sample is taken from a population. The data points are: 5 4 9 2 1
a) What is the mode?
b) Calculate the unbiased estimate for the population variance.
c) Another random sample is taken from the population with an unbiased estimate of the population variance of 9.2. Does this result imply anything about whether the estimator is truly unbiased or not? Explain your answer. d) A random sample of 92 observations is taken from another population. The sample mean is 5.5. The unbiased estimate for the population variance is 6.4. Test whether the population mean is equal to 3 or not at a significance level of 5%.
A restaurant has an ice cream counter where it sells two main products, ice cream and frozen yogurt. The restaurant makes one order for ice cream and yogurt each week, and the store has enough space for 115 gallons of both products.
A coin was flipped 60 times and came up heads 38 times. (a) At the .10 level of significance, is the coin biased toward heads? Show your decision rule and calculations. (b) Calculate a p-value and interpret it.
State the appropriate set of hypothesis to test whether there is a relationship between the variables X and Y.
What are examples of variables that follow a binomial probability distribution? What are examples of variables that follow a Poisson distribution? When might you use a geometric probability?
The passing grade such that the probability of passing a student who guesses on every question is less than 0.10. What score should be set as the lowest passing grade?
A statistical analysis of 1000 long distance telephone calls made from the headquarters of the Bricks and Clicks Computer Corporation indicates that the length of these calls is normally distributed with u=240 seconds and sigma = 40 seconds.
Identify at least one example of probability encountered in everyday life which has not previously been mentioned.
Develop a simple regression model that relates electricity usage to home size. What is the resulting regression equation?
Explain how we test independent against dependent variables in a regression analysis? What's the set up? How are regression analyses often misused / misinterpreted at work or in the news? Cite an example.
A leasing firm claims that the mean number of miles driven annually,u , in its leased cars is less than 13500 miles. A random sample of 70 cars leased from this firm had a mean of 13207 annual miles driven.
CASE STUDY: Are the Fish Safe to Eat? Assessing which Factors affect Mercury Levels in Fish in Maine Lakes.
1.an old saying in golf is you drive for show and you putt for dough. the point is that good putting is more important
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