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Math SAT scores (Y) are normally distributed with a mean of 500 and a standard deviation of 100. An evening school advertises that it can improve students' scores by roughly a third of a standard deviation, or 30 points, if they attend a course which runs over several weeks. The statistician for a consumer protection agency suspects that the courses are not effective. She views the situation as follows: H0: μ_0 = 500 vs. H1:μ_a = 530.
a) The statistician send 49 students for the school and after graduating from the course, the 49 participants take the SAT test and score an average of 520. Is this convincing evidence that the school has fallen short of its claim? What is the p-value for such a score under the null hypothesis?
b) What would be the critical value under the null hypothesis if the size of your test were 5%?
Under proposed plan, how long, on average, will patient stay in ER? On average, how long will Potential Admit stay in ER?
Assuming that these results are sample data randomly selected from the population of all past and future Olympic games
Verify value of t for the independent Variable, using formula. (That is, using formula in the Formula Sheet compute the t statistic , given data provided in the print out).
Hagger Engineering Corporation is considering undertaking several proposed projects for the next fiscal year. The projects, the number of engineers and the number of support personnel necessary for each project.
Determine the completion time and standard deviation (σ) for project roundoff the standard deviation to the nearest hundredth: two decimal places.
With this information, by constructing a 2 by 2 table, compute the predicative value positive and predictive value negative of the ELA in hypothetical population of 1000000 blood donors.
Compute the relative frequencies and percentages for all classes. Draw a histogram and a polygon for the relative frequency distribution.
Draw a sketch of the standard normal distribution curves, one for the current process and another one for the recentered process. Label the spec limits and shade the area of the curve that corresponds to your answer.
What is the maximum error of estimate for p ?
A psychologist determined that the number of sessions required to obtain the trust of a new patient is 1, 2, and 3. Let x be the random variable indicating the number of sessions required to gain the patient's trust. The following probability fu..
A transatlantic plane carries 140 passengers. It is known that the average weight of all passengers on that plane is 147.14 pounds, that the men on that plane weigh on the average 170 pounds, and women 130 pounds. How many men and how many women w..
Write a brief summary of the distribution of the area of homes.
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