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A supervisor has noticed that sales for all departments world wide has been averaging $12,000 a month for a number of years. For the last 18 review periods the average sales figure has dropped to $11,500 with a standard deviation of $4,000. Management is concerned. Perform a hypothesis test to determine if this change in sales is a potential problem.
a) Use a 1 % alpha for this analysis.
b) Make a recommendation to management based on your result.
At least half the patients are under 15 years old? First, describe how this can be modelled as a binomial distribution with 8 trials, where success is visitor age is under 15 years old and the probability of success is 20 percent.
The standard deviation of the time to complete the entire homework assignment
Results of study are summarized below. Use a 5% level of significance and test claim that opinion is independent of brand.
Perform a proper analysis. Describe your null and alternative hypothesis, report the p-value. What is your conclusion?
Probability of a flush. Poker player holds flush when all 5 cards in hand belong to same suit (clubs, diamonds, hearts, or spades).
Find out the Optimum solution using the given data. Consider the following linear programming problem. Illustrate what is the optimum solution to this problem?
For the following hypothesis test where H 0 : m £10 vs. H a : m >10, we reject H 0 at level of significance a and conclude that the true mean is greater than 10 when the true mean is really 8.
A radio station wants to know if residents in their area are in favor of a proposed tax increase. They invite listeners to call in to respond to the poll. 645 of the 800 who responded were against the tax.
Find the critical value z that corresponds to the given confidence level of 90%.
Create a set of n observations from the binomial distribution with 1 trial and the event probability of 0.007, where n is your answer.
Find Probability of independent events.Consider again the auto repair rates described. If you own two cars, what is the probability that.
The Wilcoxon signed rank test is computed for the data and gives a value W + = 161.5. Using the Normal approximation (without the continuity correction) the P-value.
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