Coffee beans: Refer to Exercise 12. A test of the hypotheses
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Elementary Statistics (Text Only)
- To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 41 feet. Assume the population standard deviation is 4.6 feet.The mean braking distance for Make B is 42 feet. Assume the population standard deviation is 4.4 feet. At α=0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e). (a) Identify the claim and state Ho and Ha. What is the claim? A.The mean braking distance is different for the two makes of automobiles. This is the correct answer. B.The mean braking distance is the same for the two makes of automobiles. C.The mean braking distance is less for Make A automobiles than Make B automobiles. Your answer is…arrow_forwardTo compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 44 feet. Assume the population standard deviation is 4.9 feet. The mean braking distance for Make B is 46 feet. Assume the population standard deviation is 4.7 feet. At α=0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e).arrow_forwardTo compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 43 feet. Assume the population standard deviation is 4.6 feet. The mean braking distance for Make B is 47 feet. Assume the population standard deviation is 4.2 feet. At α=0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e).arrow_forward
- To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 42 feet. Assume the population standard deviation is 4.5 feet. The mean braking distance for Make B is 46 feet. Assume the population standard deviation is 4.4 feet. At α=0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e).arrow_forwardTo compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 43 feet. Assume the population standard deviation is 4.6 feet. The mean braking distance for Make B is 46 feet. Assume the population standard deviation is 4.5 feet. At α=0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. The critical value(s) is/are Find the standardized test statistic z for μ1−μ2.arrow_forwardUnfortunately, arsenic occurs naturally in some ground water. A mean arsenic level of μ=8 parts per billion (ppb) is considered safe for agricultural use. A well in Los Banos is used to water cotton crops. This well is tested on a regular basis for arsenic. A random sample of 37 tests gave a sample mean of x=7.3 ppb arsenic. It is known that σ=1.9 ppb for this type of data. Does this information indicate that the mean level of arsenic in this well is less than 8 ppb? Use the classical approach. Use α=0.01 What is the hypotheses for this problem? A: Ho μ =7.3ppb vs HA μ < 7.3ppb B: Ho μ <7.3ppb vs HA μ ≥ 7.3ppb C: Ho μ =8.0ppb vs HA μ < 8.0ppb D: Ho μ <8.0ppb vs HA μ ≥ 8.0ppbarrow_forward
- To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 40 feet. Assume the population standard deviation is 4.8 feet. The mean braking distance for Make B is 43 feet. Assume the population standard deviation is 4.5 feet. At α=0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e).arrow_forwardmean 129.747 and standard deviation 0.87643 Ű Determine the sample size require that will have an 80% chance of rejecting H, : = 130.0 in favor of H; p = 130.0, with a = 0.05, in fact u = 130. 25. Write down the formulas that you may use for the above two problems.arrow_forwardA population of score has μ = 44. in this population, a score of X = 40 corresponds to z = -0.50. What is the population standard deviation?arrow_forward
- The mean pulse rate (beats per minute) of a random sample of 40 males was 67.3 bpm. For a random sampl of 40 females the mean was 77.5 bpm. The population standard deviation for males is 10.3 bpm and 11.6 bpm for females. Using the P-Value method and test the claim that there is a difference in mean pulse rates. Use alpha = 0.03. Step 5: There is enough evidence to reject the claim that there is a difference in pulse rates for males and females. O There is enough evidence to support the claim that there is a difference in pulse rates for males and females. There is not enough evidence to reject the claim that there is a difference in pulse rates for males and females. There is not enough evidence to support the claim that there is a difference in pulse rates for males and females. SAMSUNG 女 & 4 5 7 8 r t y %24arrow_forwardThe average breaking strength of steel of rods is specified to be 18.5 thousand lbs. For this a sample of 14 rods was tested. The mean and standard deviation from the sample were obtained as 17.85 and 1.955 respectively. Test the significance of the deviation of average breaking strength at α= 5%arrow_forwardPlease provide a clear solution, 1 hr left thank you!arrow_forward
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