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Q1) A fair die is rolled 10 times. Determine the probability that the odd number (1, 3 or 5) will occur less than 4 times?
a) 0.1719
b) 0.1172
c) 0.2051
d) 0.3770
e) 0.0439
Q2) A fair die is rolled 36 times. Determine the standard deviation of even number (2, 4 or 6) outcomes?
a) 18
b) 6
c) 4
d) 3
Q3) On certain daily flight, Air Northeast has the policy of booking as many as 24 people on airplane which can seat only 19. (Past studies have revealed that only 80% of booked passengers actually arrive for flight.) Using Binomial Distribution, determine probability that if Air Northeast books 24 people on flight, insufficient seats will be available for all booked passengers.
a) 0.54012
b) 0.19602
c) 0.65589
d) 0.45988
Q4) Employee gives pre-employment evaluation to large group of applicants. Scores are normally distributed with mean of 154 and standard deviation of 18. Employer wishes to interview only those applicants who score in top 15%. What must cut-off score be for interviews?
a) 176
b) 181
c) 166
d) 173
An experiment was performed to investigate lifetime of a component exposed to high heat. Three different oven types were used at either 550°F or 600°F.
Plot a scatter diagram of the results with Depth of Water as the independent variable.
For all questions, clearly explain/show your answers. For the Analysis section, justify your answers with the appropriate graphs, statistics, equations, etc.
What is the expected number of customers that will have to wait more than 6 hours?
Five test vehicles of each kind were crashed, with results given below. Research question: Are mean crash damages the same for these 3 vehicles?
In this paragraph, be sure to make it clear how you handled the issue of conducting three planned comparisons. Also provide the ANOVA summary table for these results.
Given 7 male individuals in a Physical Education course, the number of sit ups each individual can do in a one minute period was recorded:
The resort's historical climate data suggests that the probability of a good winter with lots of snow during any given year is 40%.
Determine the probability of choosing at random license plate which ends in the even number?
Use the method of least squares to model the relationship between x and y.
Do 1-sample t-test to see if people in Chicago have travelled to fewer states than people nationwide. Utilize the 10% (.10) level of significance.
Test hypothesis that both propellants have same mean burning rate. Utilize α=0.05. Compute the P value.
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