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For a normal random variable X with mean 70 and standard deviation 10.
(a) Calculate the probability that 60 < X < 80.
(b) Calculate the probability that X = 80.
(c) Calculate the probability of the event {X<60 or X >80}.
(d) On a statistics exam with grades normally distributed with mean 70 and standard deviation 10. To pass, students have to score in the 70th percentile or better, what is the minimum score necessary to pass?
A large population of metal rods have an average diameter of .943 inches with a standard deviation of .001 inches. The engineering specification for the rods requires that they be between .941 and .944 inches.
The number of shark attacks and deaths over a recent 5- year period is shown. Find the mean, median, mode, midrange, variance, and standard deviation for the date. Which data set is more valuable?
Both days have sample standard deviations of 3.4. Is the average mean of size different from day 1 to day 2?
Discuss why the standard error for the distribution of sample means is smaller than the standard deviation of sample scores. Distinguish between within-group designs and between-group designs.
Compare and contrast a Difference of Means test with a Paired Difference test. What, fundamentally, are we testing for in each? When do you use the difference of means?
A suburban hotel derives its gross income from its hotel and restaurant operations. The owners are interested in the relationship between the number of rooms occupied on a nightly basis and the revenue per day in the restaurant.
Findout the value of X using normal distribution which gives standard deviation also mean. A math teacher gives two different tests to measure students' aptitude for math.
Increasing the confidence-interval level from .95 to .99
Suppose sps professors have an average life normally distributed of 82 years, with a population standard deviation of 5 years.
In order to determine whether or not a driver's education course improves the scores on a driving exam, a sample of six students were given the exam before and after taking the course. The results are shown below:
A survey of the opinions of property owners about a street widening project was taken to determine whether the resulting opinion was related to the distance of front footage.
Why is it important to know the standard deviation for a given sample? What do researchers learn about a normal distribution from knowledge of the standard deviation?
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