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- what is one way anovaAn expert at the Icelandic Meteorological Office is tasked with investigating whether the air quality in the capital area is in accordance with health protection limits. According to them, dust particles should not amount to more than 50 micrograms per cubic meter. The expert collects readings from around the town between 9 and 10 in the morning a. State and perform a one-sided hypothesis test (at a 2% level of significance) about whether the population mean is greater than 50 micrograms. NOTE that the Norwegian Meteorological Agency assumes that the air quality is acceptable unless there is strong evidence that this is not the case. b. Show the result of the test in a picture. What does the result tell you about the sampling distribution of the sample mean? c. What is the p-value and what does it tell you? Show it in the picture you made in part b d. Draw the power function of the hypothesis test e. The measuring devices that are used to measure air quality can be problematic, so…A coin operated coffee machine made by VIG corporation was designed to discharge a mean of 8 ounces of coffee per cup. If it dispenses more than that on average, the corporation may lose money, and if it dispenses less, the company may complain. BIG corporation would like to estimate the mean amount of coffee, u, dispensed per cup by this machine. BIG will choose a random sample of copper mounts dispense for this machine and use this sample to estimate u. Assuming that the standard deviation of cup amounts dispensed by this machine is 0.40 ounces, what is the minimum sample size needed in order for BIG to be 90% confident that the estimate is within 0.06 ounces of u? Carrier intermediate computation so at least three decimal places. Write your answer as a whole Number (make sure that it is the minimum hole number that satisfies the requirements).
- The Environment Protection Agency wishes to test whether the mean amount of radium-226 in soil in a Florida county exceeds the maximum allowable amount, 4 pCiL. Formulate the appropriate null and alternative hypotheses . Describe a Type error. Describe a Type error .A coin-operated coffee machine made by BIG Corporation was designed to discharge a mean of eight ounces of coffee per cup. If it dispenses more than that on average, the corporation may lose money, and if it dispenses less, the customers may complain.BIG Corporation would like to estimate the mean amount of coffee, μ, dispensed per cup by this machine. BIG will choose a random sample of cup amounts dispensed by this machine and use this sample to estimate μ. Assuming that the standard deviation of cup amounts dispensed by this machine is 0.35 ounces, what is the minimum sample size needed in order for BIG to be 90% confident that its estimate is within 0.08 ounces of μ? Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum whole number that satisfies the requirements).A coin-operated coffee machine made by BIG Corporation was designed to discharge a mean of eight ounces of coffee per cup. If it dispenses more than that on average, the corporation may lose money, and if it dispenses less, the customers may complain. BIG Corporation would like to estimate the mean amount of coffee, μ, dispensed per cup by this machine. BIG will choose a random sample of cup amounts dispensed by this machine and use this sample to estimate μ. Assuming that the standard deviation of cup amounts dispensed by this machine is 0.43 ounces, what is the minimum sample size needed in order for BIG to be 90% confident that its estimate is within 0.08 ounces of μ? Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum whole number that satisfies the requirements).
- A coin-operated coffee machine made by BIG Corporation was designed to discharge a mean of eight ounces of coffee per cup. If it dispenses more than that on average, the corporation may lose money, and if it dispenses less, the customers may complain.BIG Corporation would like to estimate the mean amount of coffee, , dispensed per cup by this machine. BIG will choose a random sample of cup amounts dispensed by this machine and use this sample to estimate . Assuming that the standard deviation of cup amounts dispensed by this machine is 0.35 ounces, what is the minimum sample size needed in order for BIG to be 90% confident that its estimate is within 0.08 ounces of ?A productionn line operattes with a mean fillling weight of 16 oz per conntainer. Over-filling or under-filling presents a serious problem and reqquires the operator to shut down the production line to readjust the filling mechanism. A quality control inspector selects a sample of 30 itemms every hour and makes the deccision of whether to shutt down the line for readjjustment at that time. Supppose that the most recent sample returns a mean of 15.82 oz and a sample standard deviation of 0.8 oz. Assume the significance level (α) is 5%. A.Formulate the null and the alternative hypotheses: Null: mu ≥ 16; Alternative: mu < 16 Null: mu = 16; Alternative: mu ≠ 16 Null: mu ≤ 15.82; Alternative: mu > 15.82 Null: mu ≤ 16; Alternative: mu > 16 Null: mu = 15.82; Alternative: mu ≠ 15.82 Null: mu ≥ 15.82; Alternative: mu < 15.82 B. What kind of test is this? (Upper-tailed, lower-tailed or two-tailed test) Two-tailed Lower-tailed Upper-tailed No answer text provided. C.…A productionn line operattes with a mean fillling weight of 16 oz per conntainer. Over-filling or under-filling presents a serious problem and reqquires the operator to shut down the production line to readjust the filling mechanism. A quality control inspector selects a sample of 30 itemms every hour and makes the deccision of whether to shutt down the line for readjjustment at that time. Supppose that the most recent sample returns a mean of 15.82 oz and a sample standard deviation of 0.8 oz. Assume the significance level (α) is 5%. A. Using the critical value approach, what is the critical value? ±2.045 ±2.042 1.697 1.699 B. What is your conclusion (reject or fail to reject the null)? Fail to reject the null Reject the null C. Using the p-value approach, what is the p-value? p-value is more than 0.40 p-value is between 0.20 and 0.40 p-value is between 0.05 and 0.10 p-value is between 0.10 and 0.20 p-value is less than 0.05 D. What’s your conclusion (reject or fail to…
- Please compute the Durbin Watson test statistic and show work.The New York City Transit Authority is investigating ways to decrease commute time for people driving into New York City.The mean commute time for people driving into the city was 43 minutes last year. After instituting different traffic patterns at oneof the bridges into the city, a sample of 40 drivers that use this bridge have a mean commute time of 38 minutes with standarddeviation 17 minutes.(a) Is this evidence at the 5% level of significance that the population mean commute time for people using this bridge hasdecreased?The New York City Transit Authority is investigating ways to decrease commute time for people driving into New York City.The mean commute time for people driving into the city was 43 minutes last year. After instituting different traffic patterns at oneof the bridges into the city, a sample of 40 drivers that use this bridge have a mean commute time of 38 minutes with standarddeviation 17 minutes.(a) Is this evidence at the 5% level of significance that the population mean commute time for people using this bridge hasdecreased? (b)Upon inspection of commute times, it is shown that the distribution for drivers using this bridge is slightly skewed to theright. Does this discovery change your conclusion in part (a)? Explain why or why not. (c) It is determined that the power of your test in part (a) was 0.89. Explain what this number means in the context of thisquestion.
