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1. In each case, sketch the two specified normal curves on the same set of axes:
a. A normal curve with m = 20 and s = 3, and a normal curve with m = 20 and s = 6.
b. A normal curve with m = 20 and s = 3, and a normal curve with m = 30 and s = 3.
c. A normal curve with m = 100 and s = 10, and a normal curve with m = 200 and s = 20.
2. Let x be a normally distributed random variable having mean m = 30 and standard deviation s = 5. Find the z value for each of the following observed values of x:
a. x = 25 d x = 40
b. x = 15 e x = 50
c. x = 30
In each case, explain what the z value tells us about how the observed value of x compares to the mean, m.
Find a function that models the brightness of the star as a function of time
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there is a statistical difference between the ages of the sexes in the group.
Suppose that 20% of the people in a large city have used a hospital emergency room in the past year. If a random sample of 125 people from the city is taken, approximate the probability that fewer than 22 used an emergency room in the past year. Use ..
The probability that an appliance is in repair
Explain the difference between standard deviation and standard error of measurement. Is one more effective than the other? Why? Give an example of the appropriate use of each
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For a normal-shaped distribution with μ = 50 and σ = 8: a. What proportion of the scores has values between 46 and 54?
An astronomer at the Mount Palomar Observatory notes that during the Geminid meteor shower, an average (?) of 50 meteors appears each hour, with a variance (σ2) of 9. The Geminid meteor shower will occur next week.
Mall security estimates that the average daily per-store theft is no more than $250, but wants to determine the accuracy of this statistic. The company researcher takes a sample of 64 clerks and finds that =$252 and s = $10.
The following table gives the survival times in days of several guinea pigs after they were injected with tubercle bacilli in a medical experiment. 41,99,103,103,105,107,111,113,114,117,119,598
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