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The scores for the final exam in a particular class are approximately normally distributed with a mean of 78.4 points and a standard deviation of 5.7 points.
a. What score would a student need to score in the top 20% of student scores? Round to two decimal places.
b. What is the probability that a randomly selected group of 36 students will have a mean score of more than 80 points? Include a probability statement. You may use calculator commands as long as the parameters are clearly defined. Round final to four decimal places.
A recent survey of frozen convenience meals found a correlation of r=0.768 between calories and fat content in the sampled meals.
Calculate the 95% confidence interval for the population mean weekday sleep time of all adult residents of this Midwestern town
(a) What is the probability that the student is both a freshman and a mathematics major? (b) Given that the student selected is a freshman, what is the probability that he is also a mathematics major
A class consists of 10 males and 30 females. If one student is randomly selected from the class, what is the probability of selecting a male?
The opponents of soccer team A are of two types: either they are a class 1 or a class 2 team. The number of goals team A scores against a class i opponent is a Poisson random variable with mean λi , where λ1 = 2, λ2 = 3.
Frank N. Magid Associates conducted a telephone survey of 1,109 consumers to obtain the number of cell phones in houses.
Use the formula to find the standard error of the distribution of differences in sample means, x¯1-x¯2.
Which score has the highest relative position: a score of 58 on a test for which the mean is 45 and the s= 10, a score of 5.0 on a test
Choose an appropriate statistical measure to compare the consistency of sales. Make the calculations and write a 700-word report comparing the sales volumes and the consistency of sales of these four salespersons.
Assuming that these ages constitute an entire population, find the standard deviation of the population. Round your answer to at least two decimal places.
Let f be a Borel measurable function from a separable metric space X onto a metric space S with metric e. Show that (S, e) is separable.
Estimate the true mean skidding distance for the road with a 90?% confidence interval.(Round two decimal places)
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