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Chebyshev’s Inequality
1. Use Chebyshev’s Inequality to solve this problem. Show your work. A machine used to fill cereal boxes dispenses on average µ ounces per box. The manufacturer wants the actual amount dispensed, Y , to be within 1 ounce of µ at least %93 of the time. What is the largest value of σ, the standard deviation of Y , that can be tolerated if the manufacturer’s objectives are to be met? Note that you do not know the true distribution of Y.
Suppose you are at a gas station filling your tank with gas. The function C(g) represents the cost C of filling up the gas tank with g gallons. Given the equation: C(g) = 3.03 (g)
Discuss how scale impacts the interpretation of a graph and name the lowest number of a statistically significant sample size and state the statistically appropriate percentage total of displays
Find would be answer to part(a) if there were only single server which can serve customers twice as fast (i.e, with service rate four customers per hour)?
A recent national survey found that high school students watched an average (mean) of 6.8 videos per month. A random sample of 36 college students revealed that the mean number of videos watched last month was 6.2
Describe the types of probability -example of classical probability, empirical probability, or subjective probability.
If the standard deviation of the process is unknown, another approach is to use the sample range as a measure of process variability. Calculate the control limits for the above process using the sample range.
Do these scores suggest that the different foods are differentially preferred by people in general? (Use the .05 significance level.)
Interpret the following table showing the percentage of individuals on a low-fat or low-cholesterol diet by gender and age.
Find a 90% confidence interval for the population average µ of the percentage of hospitals providing at least some charity care.
Calculate table T t . Calculate Computed T c .
Researchers have determined that patients who are smokers have 18% chance of contracting a serious illness. What is the probability that a given patient if the patient has a serious illness?
A. what is the probability a randomly chosen business customer flying is on a jumbo jet? B. what is the probability a randomly chosen non-business customer is on an ordinary jet?
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