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The American Bar Association conducted a survey in 1986 showed that the average income of lawyers in 1986 was $ 120,000. An investigator took a sample of 64 lawyers in 1990, produced a median income of $ 140,000 with a standard deviation of $ 24.5000. Test the hypothesis at significance level of 5% if the median income of lawyers is more than $ 120,000. Show the steps of hypothesis testing and explain the conclusion.
On the fictitious game show "Marginal Analysis for Everyone" the host subjects contestants to unusual tests of mental skill. On one, a contestant may choose one of two identical envelopes labeled A and B, each of which contains an unknown amount o..
Determine the proportion of variation in grade that can be explained by the linear correlation between the grade and the number of credit hours earned at the same time of taking the course.
Suppose {a_n} (n=1 to N) and {b_n} (n=1 to N) are two finite sequences of complex numbers. Let B_k = sum b_n (sum n=1 to k) denote the partial sum of the series sum (b_n) with the convention B_0=0.
Perform the appropriate test for a difference in mean blood glucose and report the p-value for the two-tailed test of significance, assuming that the variances are equal.
A state transportation official claims that the mean waiting time at exit booths from a toll road near the capitol is no more than .40 minutes. for a sample of 35 motorists exiting the toll road, it was found that the mean waiting time was .46 min..
A marketing research firm wishes to estimate the proportion of adults who are planning to buy a new car in the next 6 months. A simple random sample of 100 adults led to 22 who were planning to buy a new car in the next 6 months.
In a large section of statistics class, the points for the final exams are normally distributed with a mean of 72 and a standard deviation of 9. Grades are to be assigned according to the following rule.
Suppose that you select a 50 families sample. Which is the form expected from the distribution of the average or median of the sample?
At.01 significance level, can we conclude that 30-year mortgage rate for small banks is less than 6%? Evaluate the p-value.
The following table summarizes data between money spent on gambling and winnings for Robert.
Ten students in a graduate program were randomly selected. Their grade point averages (GPAs) when they entered the program were between 3.5 and 4.0.
What is the predicted values of the fund in the period t = 1? What is the predicted value of the fund in the period 3, and period 7?
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