Question

In: Statistics and Probability

Determine if the data on petroleum imports provided in Assignment 1 follows a normal distribution. Year...

Determine if the data on petroleum imports provided in Assignment 1 follows a normal distribution.

Year Petroleum Imports (thousands of barrels per day)
1973 6256
1974 6112
1975 6055
1976 7313
1977 8807
1978 8363
1979 8456
1980 6909
1981 5996
1982 5113
1983 5051
1984 5437
1985 5067
1986 6224
1987 6678
1988 7402
1989 8061
1990 8018
1991 7627
1992 7888
1993 8620
1994 8996
1995 8835
1996 9478
1997 10162
1998 10708
1999 10852
2000 11459
2001 11871
2002 11530
2003 12264
2004 13145
2005 13714
2006 13707
2007 13468
2008 12915

Solutions

Expert Solution


Related Solutions

The time taken to complete an assignment in a class follows a normal distribution with a...
The time taken to complete an assignment in a class follows a normal distribution with a mean of105 minutes and a standard deviation of 10 minutes. A. What is the probability that a randomly selected student takes between 100and 112 minutes to complete the exam? B. What is the probability that a randomly selected student takes less than 115minutes to complete the exam? C. What is the time that corresponds to the 38th percentile? D. Between which two values does...
1. The weights of adults (in kg) follows a normal distribution with a mean of 67...
1. The weights of adults (in kg) follows a normal distribution with a mean of 67 and a standard deviation of 11. For a random sample of 64 adults, find the probability that the mean weight of the sample is at most 63 kg. 2. Suppose that 50% of politicians are lawyers. Find the probability that of a random sample of 400 politicians, at least 47% are lawyers.
a.) Viscosity measurements for a certain petroleum fraction can be modelled using a normal distribution with...
a.) Viscosity measurements for a certain petroleum fraction can be modelled using a normal distribution with a mean of 41 and a standard deviation of 7. The 99th percentile of this distribution is b.) Suppose X has a normal distribution with mean 3 and standard deviation 1. The 95th percentile of this distribution is Group of answer choices c.) United Airlines Flight 433 is a nonstop flight from Boston’s Logan airport to San Francisco International Airport. An important factor in...
a.) Viscosity measurements for a certain petroleum fraction can be modelled using a normal distribution with...
a.) Viscosity measurements for a certain petroleum fraction can be modelled using a normal distribution with a mean of 41 and a standard deviation of 7. The 99th percentile of this distribution is b.) Suppose X has a normal distribution with mean 3 and standard deviation 1. The 95th percentile of this distribution is Group of answer choices c.) United Airlines Flight 433 is a nonstop flight from Boston’s Logan airport to San Francisco International Airport. An important factor in...
The distribution of ages of all the employees in Company X follows a normal distribution. The...
The distribution of ages of all the employees in Company X follows a normal distribution. The average age is 40 and the standard deviation is 5. Find the Z-score of a 50 year old employee. What is the probability that a randomly chosen employee will be younger than 35 years? What is the probability that a randomly chosen employee will have an age between 35 and 45 years? What is the probability that a randomly chosen employee will be older...
1. The longevity of truck tires (in thousands of miles) follows a normal distribution with mean...
1. The longevity of truck tires (in thousands of miles) follows a normal distribution with mean µ and standard deviation σ = 20. Suppose n = 64 tires are randomly selected and the sample mean ¯ x = 76.5. (a) Test H0 : µ = 75 versus Ha : µ 6= 75 at the α = 0.05 significance level using a 3-step test. (b) Based upon your answer in part (a), does µ significantly differ from 75? Why? (c) Find...
1) Let   x be a continuous random variable that follows a normal distribution with a mean...
1) Let   x be a continuous random variable that follows a normal distribution with a mean of 321 and a standard deviation of 41. (a) Find the value of   x > 321 so that the area under the normal curve from 321 to x is 0.2224. Round your answer to the nearest integer. The value of   x is_______ (b) Find the value of x so that the area under the normal curve to the right of x is 0.3745. Round...
The diameter of a cylinder follows a normal distribution with the mean of 10cm and the...
The diameter of a cylinder follows a normal distribution with the mean of 10cm and the variance of 0.04 cm^2. a) Construct a Shewhart chart to monitor the process mean of cylinder diameter with a sample size 9? (Use L=3) b) If the mean of the process changes to 10.5 cm, what is the probability that you detect this mean shift at the immediate next sample (the first sample after the mean shift)? c) Continue b), what is the probability...
What is Normal Distribution? Why is it so useful in processing data? Is Normal Distribution a...
What is Normal Distribution? Why is it so useful in processing data? Is Normal Distribution a naturally occurring phenomena or there are factors that allows for Normal Distribution? If so, list those factors. Can all data be processed as Normal? Explain why or why not. From the link below or otherwise list two examples each of a Normal distribution and "Not Normal Distribution"
Assume the distribution of home selling prices follows a normal distribution. for this area the mean...
Assume the distribution of home selling prices follows a normal distribution. for this area the mean selling price is $95,140 and the standard deviation of the selling price is $13,100. Let S be the home selling price. For a randomly selected home find P(S>$100,000). The answer is approx. = .6447. I just really need to know how to set this question up in a TI-84 calculator PLEASE! It's urgent!
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT