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Question: 1. An unknown distribution has a mean of 45 and a standard deviation of eight. Samples of size n = 30 are drawn randomly from the population. Find the probability that the sample mean is between 42 and 50.
2. The length of time taken on the SAT for a group of students is normally distributed with a mean of 2.5 hours and a standard deviation of 0.25 hours. A sample size of n = 60 is drawn randomly from the population. Find the probability that the sample mean is between two hours and three hours.
A membership drive in a metropolitan area resulted in 500 new members. What is the probability that 175 or more of the new members are significantly overweight?
a survey of 1373 parents and 1343 students in grades 6-12 regarding the importance of science and mathematics in the
1) A company manufactures batteries for watches. A random sample of 144 batteries is taken and the sample mean life is 5.5 years with a standard deviation of 0.6 years. If you were constructing a 99% two-sided confidence interval estimate, the low..
a fair dice is tossed. let x denote the number that appears and let y1 if an odd number appears and y3 if an even
Suppose that the parts supplier's hypothesis test is based on a sample of n = 100 diameters and that σ equals .023. If the parts supplier sets α = .05, calculate the probability of a Type II error for each of the following alternative values of µ:..
Same population with a known mean of 1.8 grams. Do the bats appear to be from the same population? You may assume the sample data comes from a population that follows a normal distribution.
Complete an ANOVA table, and use this information to determine whether there is any evidence to suggest that at least two population mean waiting times are different. Use a = 0.01.
Show that {Xt} is a white noise sequence.This provides an example of a dependent white noise sequence. Prove that Xt and Xt+1 are not dependent.
What is the average cost of capital per dollar raised (this is similar to the concept of weighted average cost of capital in your finance classes)? (please round your answer to 1 decimal place)
Using the raw measurement data presented below, calculate the t value for independent groups to determine whether or not there exists a statistically significant difference between the salaries of female and male human resource managers.
Thirty homes responded, and the sample mean water use per day was 77 gallons with a standard deviation of 9.0 gallons per day.
For the equation: x = e^-pt (C_1e^qt + C_2e^-qt), where C1 and C2 are arbitrary constants, if I let F = C1 + C2 and G = C1 - C2, how do I obtain:
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