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Question: The lengths of time taken by students on an algebra proficiency exam (if not forced to stop before completing it) are normally distributed with mean 28 minutes and standard deviation 1.5 minutes.
a. Find the proportion of students who will finish the exam if a 30-minute time limit is set.
b. Six students are taking the exam today. Find the probability that all six will finish the exam within the 30-minute limit, assuming that times taken by students are independent.
NBC TV news, in a segment on the price of gasoline, reported last evening that the mean price nationwide is $1.50 per gallon for self-serve regular unleaded.
Psychological Statistics
Determine the point estimators (in thousand hours) for the above data - Construct a 95% confidence interval for the true mean lifespan of X.
What linear transformation will change sixth grade scores x into new scores xnew= a+bx that have the desired mean and standard deviation?
It was reported that approximately 45% of all university professors are extroverted. Suppose you have classes with 6 different professors.
Use the definition of a simple random sample to compare the chance that John and Maria will be the group selected with the chance that Maria and Bill will be the group selected.
(a) Suppose that there existed a second bridge connecting the islands B and C, and also another bridge connecting the land areas A and D. Construct an Euler cycle that crosses each of the bridges exactly once.
Examine the stated purposes for which the company is asking for additional funding. Evaluate why the original funding is not adequate at this point.
Can we conclude that there has been an increase in the overall proportion of satisfied patients from a prior year to the current year? Use a level of significance of 5%.
If it is known that Trish drew at least 1 black card, what is the probability that she drew no more that 2 black cards? Hint: Use your table from part (a)
Exactly 1 understrength bottle? How many understrength bottles would be expected in the sample? What is the standard deviation of understrength bottles in the sample?
From her firm’s computer telephone log, an executive found that the mean length of 64 telephone calls during July was 4.48 minutes with a standard deviation of 5.87 minutes.
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