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In 2000, as reported by ACT Research Service, the mean ACT Math score was μ=20.7. If ACT Math scores are normally distributed with σ = 5, answer the following questions.
a)What is the probability that a randomly selected student has an ACT Math score less than18?
b)What is the probability that a random sample of 10 ACT test takers had a mean ACT Math score less than 18?
A population is Normally distributed and has a σ = 24. Samples of size 25 have a sample mean of 100. Find the 90% confidence interval for the population mean.
A Myrtle Beach resort hotel has 120 rooms. In the spring months, hotel room occupancy is approximately 75%. What is the probability that at least half of the rooms are occupied on a given day?
1- ounce chocolate chip cookies resulted in following calorie amounts. At α=0.01 level, is there sufficient evidence that average calorie content is greater than 110 calories.
You're the production manager for operation that produces circuit boards. Each board is tested at the end of manufacturing process. Rejected boards are discarded and have no future value.
The waiting room for jury selection has 40 women and 30 men to choose from. A jury of 12 is selected from these 70 people, what is the probability that exactly 5 of the jury members will be women?
For the sheet-metal stamping machine in certain factory, the time between failures, X1 has a mean between the failures, of 56 hours and a variance of 16 hours.
Pierre has a utility function for total asset position of u(x)=ln(x), His assets currently consist of $50,000 in cash and a rare violin he inherited from a rich uncle which is valued at $100,000.
Determine the probability distribution associated with these data.
What are the four assumptions for the chi-square tests? What are the hypothesis when conducting the chi-square tests for goodness-of-fit?
Obtain the estimated regression function. Plot the estimated regression function and the data. Does a linear regression function appear to give a good fit here?
Ten asthmatics were asked to compare the effect of salbutamol and fenoterol sprays in relieving their asthma attacks. Assume that salbutamol and fenoterol are equal in terms of effectiveness and side effects in all people
Construct a 95% Confidence Interval of the population mean of minutes exercised per week.
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