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A mandatory competency test for high school sophomores has a normal distribution with a mean of 400 and a standard deviation of 100.
a. The top 3% of students receive $500. What is the minimum score you would need to receive this reward?
b. The bottom 1.5% of students must go to summer school. What is the minimum score you would need to stay out of this group?
\Write down the general formula for the discrete uniform probability distribution function. Now write down the probability distribution function for the random drawing of tile numbers. Is this a discrete uniform distribution?
Assume that a sample is drawn and z(α/2) = 1.65 and σ = 35. Answer the following questions. (A) If the Maximum Error of Estimate is 0.04 for this sample, what would be the sample size?
Which of the following conditions must be met to conduct a test for the difference in two sample means? Suppose we test the difference between two proportions at the 0.05 level of significance. If the computed z is -1.07, what is our decision?
Suppose the random variable X is normally distributed with mean =50 and standard deviation =7 calculate P(X).
Report the test statistic and p-value. What is your decision and conclusion? State any assumptions you have made. Are these assumptions satisfied with these data?
ACME Lumber Company selects a random sample of 36 customers. Customers are rated on their annual spend at ACME Lumber Stores.
A survey covering 0 different suburbs in Dallas found the average price of gasoline to be $3.924 per gallon with a population standard deviation of $0.053. What critical value shoiuld be used to test the claim using a = 0.01?
Assuming that the standard deviation and the normal shape are unchanged, to what level must the mean reduce so that 20 gallons per week is the third quartile rather than the mean?
Find the weighted mean of three test scores for a student (85, 90, 75) where the first test counts for 20%, the second test counts for 30%, and the third counts for 50% of the final grade.
Determine the mean for list of numbers. 6, 5, 9, 4, 14, 9 (Round to the nearest tenth)
Suppose that a certain college class contains 54 students. Of these, 34 are sophomores, 35 are psychology majors, and 7 are neither. A student is selected at random from the class.
A new group comes along and that only has 5 people. Their weights are also measured initially and after 9 weeks. What would be the most accurate methodology for determining the percentage of weight loss for this new group?
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