A food distribution company claims that a fast food restaurant chain receives, on average, 24 pounds of meat on a daily basis. The district manager of the restaurant chain decides to randomly sample 42 shipments from the company and finds a mean weight of 22.2 pounds with a standard deviation of 4.3 pounds. Test at a 4% level of significance to determine whether or not the food distribution company sends less than they claim.
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- The Robotics Manufacturing Company operates an equipment repair business where emergency jobs arrive randomly at the rate of two jobs per 8-hour day. The company's repair facility is a single-server system operated by a repair technician. The service time varies, with a mean repair time of 2.9 hours and a standard deviation of 1.8 hours. The company's cost of the repair operation is $28 per hour. In the economic analysis of the waiting line system, Robotics uses $36 per hour cost for customers waiting during the repair process. (a) What are the arrival rate and service rate in jobs per hour? (Round your answers to four decimal places.) λ = μ = (b) Show the operating characteristics. (Round your answers to four decimal places. Report time in hours.) La L = Wa = = W = Wq Show the total cost per hour. (Express the total cost per hour in dollars. Round your answer to the nearest cent.) TC = $ (c) The company is considering purchasing a computer-based equipment repair system that would…A sample of 79 female workers and another sample of 51 male workers from a state produced mean weekly earnings of $728.22 for the females and $761.88 for the males. Suppose that the population standard deviations of the weekly earnings are $ 75.84 for all females and $ 102.10 for all males. The null hypothesis is that the mean weekly earnings are the same for females and males, while the alternative hypothesis is that the mean weekly earnings for females is less than the mean weekly earnings for males. Derive the corresponding 95% confidence interval, rounded to two decimal places, for the difference between the mean weekly earnings for all female and male workers in this state. to iA bank wonders whether omitting the annual credit card fee for customers who charge at least $3000 in a year will increase the amount charged on its credit cards. The bank makes this offer to an SRS of 400 of its credit card customers. It then compares how much these customers charge this year with the amount that they charged last year. The mean increase in the sample is $246, and the standard deviation is $112. Is there significant evidence at the 1% level that the mean amount charged increases under the no-fee offer? State H0 and Ha and carry out a significance test.
- Eddie Clauer sells a wide variety of outdoor equipment and clothing. The company sells both through mail order and via the internet. Random samples of sales receipts were studied for mail order sales and internet sales, with the total purchase being recorded for each sale. A random sample of 7 sales receipts for mail order sales results in a mean sale amount of $64.90 with a standard deviation of $18.75. A random sample of 11 sales receipts for internet sales results in a mean sale amount of $83.10 with a standard deviation of $27.25. Using this data, find the 90 % confidence interval for the true mean difference between the mean amount of mail order purchases and the mean amount of internet purchases. Assume that the population variances are not equal and that the two populations are normally distributed. Step 1 of 3: Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places. Answer How to enter your answer (opens in…The port of South Louisiana, located along 54 miles of the Mississippi River between New Orleans and Baton Rouge, is the largest bulk cargo port in the world. The U.S. Army Corps of Engineers reports that the port handles a mean of 4.5 million tons of cargo per week. Assume that the number of tons of cargo handled per week is normally distributed with a standard deviation of 0.82 million tons. Answer the following questions by calculating the answers and matching each question to the correct answer. What is the probability that the port handles less than 5 million tons of cargo per week? What is the probability that the port handles 3 million or more tons of cargo per week?A department-store chain randomly sampled 10 stores in a state. After a review of sales records, it was found that, compared with the same period last year, the following percentage increases in dollar sales had been achieved over the Christmas period this year:10.2 3.1 5.9 7.0 3.72.9 6.8 7.3 8.2 4.3a. Calculate the mean percentage increase in dollar sales. b. Calculate the median.
- The Robotics Manufacturing Company operates an equipment repair business where emergency jobs arrive randomly at the rate of two jobs per 8-hour day. The company's repair facility is a single - server system operated by a repair technician. The service time varies, with a mean repair time of 3.2 hours and a standard deviation of 2.0 hours. The company's cost of the repair operation is $27 per hour. In the economic analysis of the waiting line system, Robotics uses $37 per hour cost for customers waiting during the repair process. (a) What are the arrival rate and service rate in jobs per hour? (Round your answers to four decimal places.) Show the operating characteristics. (Round your answers to four decimal places. Report time in hours.) Show the total cost per hour. (Express the total cost per hour in dollars. Round your answer to the nearest cent.) The company is considering purchasing a computer-based equipment repair system that would enable a constant repair time of 3.2 hours.…The mean hourly wage for employees in goods-producing industries is currently $24.57 (Bureau of Labor Statistics website, April, 12, 2012). Suppose we take a sample of employees from the manufacturing industry to see if the mean hourly wage differs from the reported mean of $24.57 for the goods-producing industries. b. Suppose a sample of 30 employees from the manufacturing industry showed a sample mean of $23.89 per hour. Assume a population standard deviation of $2.40 per hour and compute the p-value. Round your answer to four decimal places. c. With alpha =0.05 as the level of significance, what is your conclusion? The input in the box below will not be graded, but may be reviewed and considered by your instructor.A random sample of male college baseball players and a random sample of male college soccer players were obtained independently and weighed. The accompanying table shows the unstacked weights (in pounds). The distributions of both data sets suggest that the population distributions are roughly Normal. Determine whether the difference in means is significant, using a significance level of 0.05. Click the icon to view the data table. Let µBaseball be the population mean weight (in pounds) of male college baseball players and let uSoccer be the population mean weight (in pounds) of male college soccer players. Determine the hypotheses for this test. Ho: HBaseball - HSoccer %3D Ha: HBaseball- HSoccer + 0 Find the test statistic for this test. (Round to two decimal places as needed.)
- A certain prescription medicine is supposed to contain an average of 250 parts per million (ppm) of a certain chemical. If the concentration is higher than this, the drug may cause harmful side effects; if it is lower, the drug may be ineffective. The manufacturer runs a check to see if the mean concentration in a large shipment conforms to the target level of 250 ppm or not. A simple random sample of 100 portions is tested, and the sample mean concentration is found to be 247 ppm. The sample concentration standard deviation is s = 12 ppm. Suppose that the p-value was 0.0259. What is the appropriate conclusion to make if α = 0.05? Group of answer choices Fail to reject H0. We have insufficient evidence to conclude that the mean concentration is different from 250 ppm. Fail to reject H0. We have sufficient evidence to conclude that the mean concentration is less than 250 ppm. Reject H0. We have insufficient evidence to conclude that the mean concentration is less than 250…K.Brew sells a wide variety of outdoor equipment and clothing. The company sells both through mail order and via the internet. Random samples of sales receipts were studied for mail order sales and internet sales, with the total purchase being recorded for each sale. A random sample of 18 sales receipts for mail order sales results in a mean sale amount of $81.30 with a standard deviation of $16.25 . A random sample of 9 sales receipts for internet sales results in a mean sale amount of $67.00 with a standard deviation of $15.25 . Using this data, find the 98% confidence interval for the true mean difference between the mean amount of mail order purchases and the mean amount of internet purchases. Assume that the population variances are not equal and that the two populations are normally distributed. Step 2 of 3 : Find the standard error of the sampling distribution to be used in constructing the confidence interval. Round your answer to two decimal places.A personnel director in a particular state claims that the mean annual income is the same in one of the state's counties (County A) as it is in another county (County B). In County A, a random sample of 18 residents has a mean annual income of $41,300 and a standard deviation of $8700. In County B, a random sample of 8 residents has a mean annual income of $38,600 and a standard deviation of $5600. At a = 0.10, answer parts (a) through (e). Assume the population variances are not equal. Assume the samples are random and independent, and the populations are normally distributed. (a) Identify the claim and state H, and Ha. Which is the correct claim below? A. "The mean annual income in County A is greater than in County B." B. "The mean annual income in County A is less than in County B." C. "The mean annual incomes in Counties A and B are equal." "The mean annual incomes in Counties A and B are not equal." What are Ho and H,? The null hypothesis, Ho, is µ1 = µ2. The alternative…