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A professor was curious as to whether the students in a very large class she was teaching, who turned in their tests first, scored differently from the class mean on the test. The µ on the test was 75 with σ = 10; the scores were approximately normally distributed. The mean score for the first 20 tests was 78. Did the students turning in their tests first score significantly different from the larger mean at the .05 level?
a) Use the four steps of hypothesis testing
b) Illustrate the distributions involved
c) Calculate the 95% confidence interval (*even if nonsignificant result)
if the population mean is assumed to be 20 and the sample standard deviation is 5 a score of 15 would have a z-value of
Find μW, σW, and the standardized rank sum statistic. Then give an approximate P-value using the Normal approximation with the continuity correction. What do you conclude?
(a) If it reads 850 mm of mercury when placed in your bath water, what is the temperature of the water?
If measurements are made instead on 4 separate days and the mean result is compared with the criterion 3.5, what is the probability that Judy is diagnosed as hypokalemic?
Standard deviation of 1.8 years, and the distribution is approximately normal. if an employee is picked at random, what is the probability that the employee has worked at the store for over 10 years?
What is pn, the sample proportion of successes?What is p0, the hypothetical proportion of success under the null hypothesis?
Given the following data, use exponential smoothing with a=0.2 and a=0.5 to generate forecasts for periods 2 through 6. Use MAD and MSE to decide which of the two models produced a better forecast.
Carry out an overall test to determine if there is significant evidence of a difference among A; B and C, at the significance level 1%.
According to the U.S National Center for Health Statistics, the mean height for adult American males is mu = 65.5 inches. Assume the heights are normally distributed with standard deviation of sigma = 3.2.
A research hospital tries a new antibiotic scrub before surgery to see whether it can lower the rate of infections of surgical sites.
You are given that q60 = 0.2, q61 = 0.4, and the interest rate is a constant 25%. Give the complete distribution of the random variable L and use this to find 0V.
suppose 60 people in stat 322 class each generate a random number independently resulting in 60 random numbers.let x
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