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Q1) In recent years, scores on standardized test for high school students with 3.5 to 4.0 grade point average were normally distributed, with mean of 39.9 and a standard deviation of 1.8. A student with a 3.5 to 4 grade point average who took standardized test is randomly selected.
a) Determine the probability that students test score is less than 36
b) Determine the probability that students test score is less than 36.6 and 43.2
c) Determine the probability that students test score is more than 41.6
Q2) Assume that you bought (randomly select) 3 laptops from production run of 10 laptops. Of the 10 laptops, 9 are destined to last at least two years without needing single repair. Determine the probability that all three of your laptops will last at least two years without needing single repair?
Determine the probability of fatal accident over lifetime? Describe your reasoning carefully. Suppose independent events. Why might the supposition of independence be violated?
Determine probability of generating six digits and getting code consisting of 1, 2, 3, ..., 6 if each digit can be repeated?
Write down the probability of that the median of the sample or average medians is greater or more than 320 minutes?
Run an ANOVA using only groups 1 to 6 (You can hide group 7 from the analysis by data followed by select cases and then you filter out group 7 by if GROUP~= ). Also run the posthoc tests LSD and Bonferroni.
Determine the mean number of times the machine was used per day.
No estimate of the population proportion is available. How large a sample is required?
To determine the efficiency of the current ticket operation, Mike wishes to examine several queue operating characteristics.
Does this sample indicate a smaller average? Use α = 0.05 and assume a normally distributed population.
Suppose that during a basketball practice. Joe tries 3 shots from the free throw line; imagine further that he has a probability equal to 0.6 of making each shot and that the attempts are independent. Let 'X' be the number of baskets he makes in t..
A bag of jelly belly candies contains the following colored jelly beans: red (10), blue (2), orange (5), brown (21), green (0), and yellow (18). Construct the probability distribution for x.
We want to test the hypothesis that the population variances are equal.
Determine a 95% confidence interval for mean amount spent by all Internet shoppers.
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