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1. Use the normal distribution of SAT critical reading scores for which the mean is 513 and the standard deviation is 120. Assume the variable x is normally distributed.
a) What percent of the SAT verbal scores are less than 650?
b) If 1000 SAT verbal scores are randomly selected, about how many would you expect to be greater than 575?
2. Find the z-score that has 7.5% of the distributions area to its right?
3.In a survey of women in a certain country (ages 20-29) the mean height was 66.1 inches with a standard deviation of 2.71 inches. Answer the following questions about the specified normal distribution.
a) What height represents the 90th percentile?
b) What height represents the first quartile?
For the first five troubles reported on a given day, what is the probability that: Fewer than two troubles will be repaired on the same day?
Humanities, 372; Natural Science, 415; Social Science, 511; Business Administration, 619; Philosophy, 196. Create a Pareto chart representing this information.
The null hypothesis is the alternative is Use the given sample data to find out the P-value for the hypothesis test. Provide an interpretation of the P-value.
Find the probability that a sample of 16 tires will have an average tire life of more than 52000 miles, give that the mean tire life is 50000miles and the standard Deviation is 8489.13.
Bolts are randomly selected until a 5 mm bolt is obtained. The outcomes are the sequences of bolts that can be selected. So one outcome is 1, and the other is 342. List the equally likely outcomes.
Call centers typically have high turnover. The director of human resources for a large bank has compiled data on about 70 former employees at one of the bank's call centers in the Excel file Call Center Data.
The sample standard deviation of the first set of strengths was 8.2 ksi, the second set's S value was 9.8 ksi, and the S value for the 25 differences in strengths was 3.3 ksi.
Determine the margin of error in estimating the population mean. Sample of 68 college students yields a mean annual income of $3248. Assuming that the standard deviation = $885.
X is a continuous random variable uniformly distributed on [20, 45] that is, the end points c = 20 and d = 45.
Do time series models rely heavily on cause and effect relationships between variables in order to ensure accurate predictions?
Explain the effect outliers can have on the analysis of the center of this data set. Based on the box-plot and histogram you created for problem 1, do there appear to be any outliers?
A single plant operates three galvanizing lines that are assumed to operate independently. What is the probability that none of the lines experiences a surface finish problem in 40 hours of operation.
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