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The standard deviation of a normally distributed population is equal to 10. A sample size of 25 is selected, and its mean is found to be 95.
It is known that monthly spending by individuals in a community is normally distributed. To estimate the average monthly spending, a statistician asked 4 people randomly about their monthly spending
During a recent year the average cost of making a movie was $54.8 million. This year, a random sample of 15 recent action movies had an average production cost of $62.3 million with a variance of $9
An engineer has 3 factors (Speed, Temperature, and Time) that she has to understand the effect on volume of liquid dispersed into bottles. Her boss wants a good second order model of the volume to a
The scores on a standardized test had mean of 2.711 and a standard deviation of 1.335. A teacher had 61 students take the test. Although the students were obviously not a random sample, she consider
Suppose duration of human pregnancies are somewhat skewed with a mean of 262 days and a standard deviation of 15 days. Suppose a certain obstetrician is currently providing prenatal care to 40 preg
The distribution of weekly salaries at a large company is right skewed with a mean of $1000 and a standard deviation of $350. What is the probability that the sampling error made in estimating the m
A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50. If an applicant is randomly selected, find the probability
A waiter believe the distribution of his tips has a model that is slightly skewed to the left, with a mean of $9.20 and a standard deciation of $5.20. He waits on 40 parties over a weekend of work.
A study of employees at a large company found a negative correlation between body weight and distance walked on an average day. In other words, people who walked more weighed less. Should you concl
What is a x2 test, and what type of data would we use with it to test a hypothesis? What is an example of a variable for which we would use a x2 test?
What type (and level) of data must you collect to conduct a t-test? Why? What are examples of variables with which we would use a t-test?
What are some examples of two measurement-level (quantitative) variables that are likely to be correlated because they are both changing over time?
Suppose the data represent the inches of rainfall in April for a certain city over the course of 20 years. Determine the quartiles. Compute the interquartile range, IQR
The number of traffic accidents in a city during one hour follows a poisson distribution with mean 3 accidents per hour.
Express the problem as a Markov Chain. Determine the expected gain of loss after the die is rolled 5 times
Formulate this problem as a linear programming model. Be sure to include the objective function and all relevant constraints. Use your favorite method to solve this problem and tell me what
Is there convincing evidence that more than three-quarters of U.S. adults believe that rudeness is a worsening problem? Test the relevant hypotheses using a significance level of 0.05. (For z give
Let Y1, Y2, Y3, and Y4 constitute a random sample of size n = 4 from a Bernoulli population with parameter p. (a) Determine whether Y = 2Y1 +Y2 +Y3 +Y4 is sufficient for p. (b) Determine whether Y
The mean points obtained in an aptitude examination is 124 points with a variance of 400. What is the probability that the mean of the sample would differ from the population mean by less than 2.9 p
A health researcher is interested in determining whether or not the speed at which people walk is related to their cholesterol levels. He picks 100 adult volunteers at random, checks their cholester
Find the sampling distribution (theta) of the proportion of fresh engineering graduates who started with an annual salary of less than $40,000.
A newspaper found the mean price for Redwood City homes is $927,200. With 18 homes sold in the past month, the mean for this sample was $998,361.11 and the sample standard deviation was $282,186.83.
State the null and alternative hypotheses. State the distribution that you will use. Find the test statistic and use the appropriate variable.
A professor has recorded exam grades for 10 students in his class, but one of the grades is no longer readable. If the mean score on the exam was 81 and the mean of the 9 readable score is 84, what