8. (10pt) Suppose that the current annual salary of all Statistic instructors have the mean and...
According to a Bureau of Labor Statistics release of March 25, 2015, statisticians earn an average of $84,010 a year. Suppose that the current annual earnings of all statisticians have the mean and standard deviation of $84,010 and $20,000, respectively, and the shape of this distribution is skewed to the right. Find the probability that the mean earnings of a random sample of 256 statisticians is (a) within $1500 of the population mean? (b) not within $1600 of the population...
5. Suppose researchers have reported that the population mean for the annual salary of certified welders was $40,000, and the population standard deviation was $5200. A new survey of 200 welders was taken, and the mean annual salary of this sample was $39,000. At the 0.05 significance level, can we conclude that the mean annual salary of certified welders is less than $40,000? Complete steps 1 through 6 below. STEP 1. State the null hypothesis and the alternate hypothesis. (worth...
Central limit theorem: Sample mean The mean salary offered to students who are graduating from Coastal State University this year is $24.260, with a standard deviation of $3712. A random sample of 75 Coastal State students graduating this year has been selected. What is the probability that the mean salary offer for these 75 students is $25,000 or more? Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places. ?
26. The population mean annual salary for flight attendants is $56,275. Assume annual salaries for flight attendants are normally distributed, with a standard deviation of $1,720. We are flying from Las Vegas to Los Angeles, and we randomly select one flight attendant on our flight and ask him about his annual salary. What is the probability that this randomly selected flight attendant makes an annual salary less than $57,500? We randomly sample 30 flight attendants. What is the probability that...
The mean salary offered to students who are graduating from Coastal State University this year is $24,215, with a standard deviation of $3643. A random sample of 80 Coastal State students graduating this year has been selected. What is the probability that the mean salary offer for these 80 students is $24.250 or more? Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places. OX
The mean salary offered to students who are graduating from Coastal State University this year is $ 24,260 , with a standard deviation of $ 3643 . A random sample of 80 Coastal State students graduating this year has been selected. What is the probability that the mean salary offer for these 80 students is $ 24,500 or less? Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.
The mean salary offered to students who are graduating from Coastal State University this year is $24,245 , with a standard deviation of $3643 . A random sample of 85 Coastal State students graduating this year has been selected. What is the probability that the mean salary offer for these 85 students is $24,000 or more? Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.
According to the information obtained from a large university, professors there earned an average annual salary of $55,648 in 1998. A recent random sample of 15 professors from this university showed that they earn an average annual salary of $58,800 with a sample standard deviation of $8300. Assume that the annual salaries of all the professors in this university are normally distributed. (a) Suppose the probability of making a type I error is chosen to be zero. Without performing all...
The state of California has a mean annual rainfall of 22 inches, whereas the state of New York has a mean annual rainfall of 42 inches. Assume that the standard deviation for both states is 4 inches. A sample of 30 years of rainfall for California and a sample of 45 years of rainfall for New York has been taken. What is the probability that the sample mean is within 1 inch of the population mean for California? (Round to...
Suppose a geyser has a mean time between eruptions of 62 minutes. Let the interval of time between the eruptions be normally distributed with standard deviation 24 minutes. Complete parts (a) through (e) below. (a) What is the probability that a randomly selected time interval between eruptions is longer than 72 minutes? The probability that a randomly selected time interval is longer than 72 minutes is approximately 0.3372. (Round to four decimal places as needed.) (b) What is the probability...