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A small New England college has a total of 400 students. The Math SAT is required for admission, and the mean score of all 400 students is 620. The population standard deviation is found to be 60. The formula for a 95% confidence interval yields the interval 640 ± 5.88. Determine whether each of the following statements is true or false.
If we repeated this procedure many, many times, only 5% of the 95% confidence intervals would fail to include the mean Math SAT score of the population of all students at this college.
Let S = {c, h, j, q, t, y} be a sample space of an experiment and let E = {c, h}, F = {c, q, y}, and G = {h, j, t} be events of this experiment. (Enter your answers using roster notation. Enter Ø for the empty set.)
Determine the likelihood of accepting a lot which is 1% defective?
Find the value of the standard normal random variable z, called z 0 such that:
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Explain clearly, in your own words, what is a Type I error in this context.
Compute the value of the test statistic (to 2 decimals).
The lifetime of a 2-volt non-rechargeable battery in constant use has a Normal distribution with a mean of 516 hours and a standard deviation of 20 hours. The proportion of batteries with lifetimes exceeding 520 hours is approximately.
The ANOVA summary table below is the result of a regression of sales on year of sales. Is the relationship statistically significant at .05? Comment.
The main purpose of this exercise is to check your understanding of significance level, p-values and power .
Would the null hypothesis be accepted or rejected in this case?
Which of following statements would be right concerning a twotail test at 0.05 level of significance? We can conclude that average cottage cheese consumption in America is at least 0.705 pound more or less than 2.75 pounds per person per year.
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