A trucking firm claims that the weights of trucks it sends over a municipal road is 25,000 kg. Test the claim at the 0.02 level of significance if a sample of 100 random weighings of the trucks shows a mean weight of 26,000 kg with a standard deviation of 3000 kg. Use the p - value approach.
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- Condé Nast Traveler conducts an annual survey in which readers rate their favorite cruise ship. All ships are rated on a 100-point scale, with higher values indicating better service. A sample of 37 ships that carry fewer than 500 passengers resulted in an average rating of 85.39, and a sample of 43 ships that carry 500 or more passengers provided an average rating of 81.5. Assume that the population standard deviation is 4.56 for ships that carry fewer than 500 passengers and 3.99 for ships that carry 500 or more passengers. Round your all answers to two decimal places. a. What is the point estimate of the difference between the population mean rating for ships that carry fewer than 500 passengers and the population mean rating for ships that carry 500 or more passengers? b. At 95% confidence, what is the margin of error? c. What is a 95% confidence interval estimate of the difference between the population mean ratings for the two sizes of ships? Use z-table.toCondé Nast Traveler conducts an annual survey in which readers rate their favorite cruise ship. All ships are rated on a 100-point scale, with higher values indicating better service. A sample of 37 ships that carry fewer than 500 passengers resulted in an average rating of 85.35, and a sample of 43 ships that carry 500 or more passengers provided an average rating of 81.60. Assume that the population standard deviation is 4.54 for ships that carry fewer than 500 passengers and 3.99 for ships that carry 500 or more passengers. Round your all answers to two decimal places. a. What is the point estimate of the difference between the population mean rating for ships that carry fewer than 500 passengers and the population mean rating for ships that carry 500 or more passengers? b. At 95% confidence, what is the margin of error? c. What is a 95% confidence interval estimate of the difference between the population mean ratings for the two sizes of ships? toCondé Nast Traveler conducts an annual survey in which readers rate their favorite cruise ship. All ships are rated on a 100-point scale, with higher values indicating better service. A sample of 36 ships that carry fewer than 500 passengers resulted in an average rating of 85.32, and a sample of 43 ships that carry 500 or more passengers provided an average rating of 81.3. Assume that the population standard deviation is 4.59 for ships that carry fewer than 500 passengers and 3.94 for ships that carry 500 or more passengers. Round your all answers to two decimal places. a. What is the point estimate of the difference between the population mean rating for ships that carry fewer than 500 passengers and the population mean rating for ships that carry 500 or more passengers? b. At 95% confidence, what is the margin of error? c. What is a 95% confidence interval estimate of the difference between the population mean ratings for the two sizes of ships? Use z-table.
- The heights of 10 year old American children are normally distributed with a mean height of 4 feet and 5 inches (or 53 inches) and a standard deviation of 4.5 inches.In order to be allowed to go on a particular kids ride at the amusement park, children must be at least 44.9 inches tall and no more than 59.75 inches tall.What percent of 10 year old American children cannot go on the ride?An automobile manufacturer claims that its van has a 31.3 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this van since it is believed that the van has an incorrect manufacturer's MPG rating. After testing 140 vans, they found a mean MPG of 31.1. Assume the standard deviation is known to be 1.3. A level of significance of 0.02 will be used. Find the value of the test statistic. Round your answer to 2 decimal places. Enter the value of the test statistic. Answer 囲 Tables E Keypad How to enter your answer Keyboard Shortcuts Tutor Skip Try Similar Submit Answer O2020 Hawkes Learning MacBook Air esc 888 99 DII DD F2 F3 F4 FS FB F10 F11 2# 2$ & 1 2 3 4 6 7 8 delete Q W E R T. Y { tab [ A D F G H. J K caps lock L -ift C V control option command command optionThe quality-control manager at a compact fluorescent light bulb (CFL) factory needs to determine whether the mean life of a large shipment of CFLs is equal to 7,508 hours. The population standard deviation is 840 hours. A random sample of 49 light bulbs indicates a sample mean life of 7,328 hours. Let μ be the population mean. Determine the null hypothesis, H0, and the alternative hypothesis, H1.
- In a school district, all sixth grade students take the same standardized test. The superintendant of the school district takes a random sample of 3030 scores from all of the students who took the test. She sees that the mean score is 169169 with a standard deviation of 7.06747.0674. The superintendant wants to know if the standard deviation has changed this year. Previously, the population standard deviation was 1313. Is there evidence that the standard deviation of test scores has decreased at the α=0.005α=0.005 level? Assume the population is normally distributed. Step 1 of 5: State the null and alternative hypotheses. Round to four decimal places when necessary. Step 2 of 5: Determine the critical value(s) of the test statistic. If the test is two-tailed, separate the values with a comma. Round your answer to three decimal places. Step 3 of 5: Determine the value of the test statistic. Round your answer to three decimal places. Step 4 of 5: Make the…During 2003 gasoline prices reached record high prices in 16 states United States (The Wall Street Journal, March 7, 2003). Two of the states affected were California and Florida. The American Automobile Association foundas sample mean price per gallon $2.04 in California and $1.72 per gallon in Florida. Use 40 as the sample size for California and 35 as the sample size for Florida. Suppose that previous studies indicate that the population standard deviation in California it is 0.10 and in Florida 0.08.a) Test at the 10% level the null hypothesis that the population means of the gasoline prices are equal against the alternative hypothesis that, on average, Gasoline is more expensive in California than in Florida.b) Find the p-value of this test.The General Electric Company clams that the life of LED light bulbs are has a mean life of 500 hours with the standard deviation of 50 hours. Test the claim of the manufacturer if a random sample of 80 LED light tested and found out to be 450 hours only. Use 5% level of significance.
- The manager at a drive through has implemented a new process and wants to check if the new drive through process has a mean less than 188.83 seconds. The overall std. deviation of all the stores across the globe is 20 seconds. He has taken a sample of 39 and found the mean time to be 186.90 seconds. What does the hypothesis test lead to? Is there evidence to suggest the process has really improved?An orange juice producer buys all his oranges from a large orange grove. The amount ofjuice squeezed from each of these oranges is approximately normally distributed, with a meanof 4.70 ounces and a standard deviation of 0.40 ounce.c. At least how many ounces of juice will 77% of the oranges contain?