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1) Assume the random variable x is normally distributed with mean μ =83 and standard deviation σ=44. Find the indicated probability.P(x<76?)
?(Round to four decimal places as? needed.)
2) The amounts a soft drink machine is designed to dispense for each drink are normally? distributed, with a mean of 11.7
fluid ounces and a standard deviation of 0.2 fluid ounce. A drink is randomly selected.
?(a) Find the probability that the drink is less than 11.5 fluid ounces.
?(b) Find the probability that the drink is between 11.2 and 11.5fluid ounces.
?(c) Find the probability that the drink is more than 12.1fluid ounces. Round to four decimal places as? needed.)Can this be considered an unusual? event? Explain your reasoning.
Nobody has ever proved that using cell phones causes brain tumors. Therefore, using cell phones does not cause brain tumors.
A recent article in a computer magazine suggested that the mean time to fully learn a new software program is 40 hours. A sample of 100 first-time users of a new statistics program revealed the mean time to learn it was 39 hours with the standard dev..
For some of the attributes in your computer decision, you face uncertainty. The additive utility function assessed in Problem 15.17 essentially assumes that additive independence among attributes is reasonable.
Discuss the difference between sampling bias and measurement bias. Give exam, ples of statistical studies in which each is an important consideration.
assume that the mean score on a certain aptitude test across the nation is 100 and that the standard deviation is 20
The population standard deviation was 1.7 years. Using the 0.95 degree of confidence, what is the confidence interval for the population mean?
an advocacy group is investigating whether gender has an effect on job category in large investment firms. given the
A sample of 50 provided a sample mean of 19.4. The population standard deviation is 2. a. Compute the value of the test statistic.
The lifetime of a disposable water filter is normally distributed with mean equals 30 gal and standard eviation equals 5 gal What is the probability that a filter selected at random will last from 25 gal to 30 gal.
How can I use null and alternative hypotheses in a real life scenario? What are the Type 1 and Type 2 errors that can occur?
A comparison was made between number of cigarettes smoked in a day by a sample of females and a sample of males.
The random variables X and Y are independent. What is the standard deviation of the random variable X + Y?
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