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The Smith family has twins, Rob and Rachel. Both Rob and Rachel graduated from college two years ago, and each is now earning $50,000 per year. Rachel works in the retail industry, where the mean salary for executives with less than 5 years' experience is $35,000 with a standard deviation of $8,000. Rob is an engineer. The mean salary for engineers with less than 5 years' experience is $60,000 with a standard deviation of $5,000.
a. Compute the z values for both Rob and Rachel.b. Comment on your findings
Using the .05 level of significance, what should we conclude about the theory that 24 hours is the natural cycle? (That is, does the average cycle length under these conditions differ significantly from 24 hours?)
Use the Kolmogorov-Smirnov test to discover whether the distribution of location of accidents is uniformly distributed for the month of September
At the 5% significance level, can the researcher reject the hypothesis that the mean reading scores of all children in the three school systems is the same? Formulate and test the appropriate hypotheses. Use the critical value approach.
Construct a 90 percent confidence interval for the true mean weight. What sample size would be necessary to estimate the true weight with an error of +/-} 0.03 grams with 90 percent confidence?
The correlation between the returns on Ceramics Craftsman, Inc., and the returns on the S&P 500 is 0.675. The variance of the returns on Ceramics Craftsman, Inc., is 0.004225, and the variance of the returns on the S&P 500 is 0.001467.
The shop wants a minimum of 60 man-years experience and wishes to maximize productivity. What machinists should they hire?
If a group of 81 children is selected at random, what is the probability that the average time these children watch television is more than 3.5 hours a day?
The sales of Lexus automobiles in the Detroit area follow a Poisson distribution with a mean of 3 per day. What is the probability that for five consecutive days at least one Lexus is sold?
Description of the graph:A given histogram: normal distribution bell curve that is skewed to the left. On the x-axis of the graph, from left to right have the following numbers 0 , 50, 100.
If there are 500 students in the school, what is the probability that everyone will pass the exam?
A fair coin was flipped three times and landed heads three times. What is the probability of a head on the next toss?
Follow the conventions as described in the general guidelines for writing up Special Problems.
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