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A random sample of the commissions earned by local Tupperware dealers last month is given below.
$4377.47 $3183.76 $1970.16 $2270.88 $3860.06$2508.55 $1569.64 $4205.30 $1663.68 $3960.71
a. Find x-bar and s for this data set. (5 points)
b. Construct a 99 percent confidence interval for the mean commission earned by local Tupperware dealers. You may assume the commissions are normally distributed.
SAT verbal scores are normally distributed with a mean of 412 and a standard deviation of 90. Use the Empirical Rule to determine what percent of the scores lie between 412 and 592.
Examine the residual files and produce appropriate residual plots to examine the assumptions. Are the Level-1 residuals normally distributed? Are the level-2 residuals multivariate normal? How do you know?
What is the chance that the number who say "yes" in a properly drawn random sample of 500 will be smaller than 360?
For sample of size 100, what is the mean and standard deviation of the sample mean.
Nine percent of undergraduate students carry credit card balances greater than $7000. Presume 10 undergraduate students are selected randomly to be interviewed about credit card usage.
Workers at a large toxic clean up project are concerned that their white blood cell counts may have been reduced. Let x be a random variable that represents white blood cell count per cubic millimeter of whole blood in a healthy adult.
Identify the sampling distribution to be used: the standard normal distribution or the Student's t distribution. Find the critical value(s).
An internal study by the Technology Services department at Lahey Electronics revealed company employees receive an average of two emails per hour.
She will make the mean raise $1000 and the standard deviation $179. Basing this on worker productivity (toys constructed), the most productive 10% of employees will see a raise of at least how much?
Let C be a circle enclosing the distinct points z1,z2,...zn. Let p(z)=(z-z1)(z-z2)...(z-zn) be the polynomial of degree n with roots at these points.
Nationwide, GMAT scores in a particular year had an average of 528 with an SD of 112 and the scores roughly followed a normal curve. If a student scored 600 on the exam, approximately what percentage of test-takers scored below this student?
Carpet City wants to develops a means to forecast it carpet sale. The store manager believes that the store's sale are directly related to the number of new housing starts in town.
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