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The test scores in a statistics course are normally distributed with a mean of 77 points and a standard deviation of 13 points. Show your work to answer the following.
a. Students need a score of 60 points to pass the exam. What is the probability that a randomly selected student will pas the exam? (P(X ≥ 60))
b. If 560 students take the exam, how many should be expected to pass (X ≥ 60) the exam?
c. What percentage of students earn an 'A' on the exam? (Students need a score of 90 points or better to earn an 'A'.)
d. If the instructor wants to assign the top 20% of her class a grade of 'A', then what score do the students need to earn an 'A'?
Given that x is a normal variable with mean u = 47 and standard deviation = 6.2, find:
No, there is not enough information to refuse hypothesis that proportion of male students who live on campus and proportion of female students who live on campus are same as the test value -1.65 is inside acceptance region (-1.96,1.96).
Two tools that are often used in this process are the contingency table and the decision tree. What are these tools and how to they help us to make decisions under uncertainty when we are dealing with probabilities?
Construct the 90% and 99% confidence interval for population mean. Which interval is wider? If convenient, utilize technology to construct confidence intervals.
A processor of carrots cuts green top off each carrot, washes the carrots, and inserts six to a package. Twenty packages are inserted in a box for shipment. To test weight of the boxes, a few were checked.
Determine the average score for ERAU graduates? Determine the value of test statistic? Significance level?
What is the percent difference between the two amounts relative to the amount for mathematics majors (round to the nearest percent)?
Is the hot-air balloon significantly shorter than light rail? How can you tell? What do you tell university officials?
Estimate the indicated probability by using the normal distribution as an approximation to the binomial distribution.
What is the level of measurement for the variable, "political ideology" measured as "Very Conservative", "Conservative","Moderate", "Liberal" and "Very Liberal".
In a random sample of 53 concrete specimens, the average porosity (in percent) was 21.6 and the standard deviation was 3.2. a) Find a 90% confidence interval for the mean porosity of specimens of this type of concrete.
What is the likelihood the sample mean is greater than $22.50 but less than $25.00?
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