A car manufacturer is going to equip its new product, model S, with a new tire. A tire company claims that the mean tread wear for its product is 53,000 kilometers. Before purchasing, the car manufacture tests a random sample of 10 tires provided by the tire company. The test result show that the sample has a mean tread wear of 54,100 kilometers, and a stand deviation of 5,801 kilometers.
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A car manufacturer is going to equip its new product, model S, with a new tire. A tire
company claims that the
purchasing, the car manufacture tests a random sample of 10 tires provided by the tire
company. The test result show that the sample has a mean tread wear of 54,100
kilometers, and a stand deviation of 5,801 kilometers.
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- Salvatore, as the director of a regional bank, is concerned about the wait times of customers at the four branches. He randomly selects 48 patrons at each branch and records the waiting time for each patron. The results of the samples are shown below. The Alvrine branch has a mean waiting time of 13.49 minutes with a standard deviation of 1.97 minutes.The Durham branch has a mean waiting time of 12.61 minutes with a standard deviation of 2.89 minutes.The Hanover branch has a mean waiting time of 11.06 minutes with a standard deviation of 2.46 minutes.The Mascomonet branch has a mean waiting time of 12.89 minutes with a standard deviation of 3.12 minutes.The cheetah is the fastest land mammal and Is highly specialized to run down prey. Thecheetah often exceeds speed of 60 miles per hour (mph) and is capable of speed 72 mph. Thesample mean and standard deviation of speeds of 35 cheetahs are 59.53 mph and 4.19,respectively. A histogram of the speeds is bell-shaped. Use the empirical rule to estimate thepercentage of the observations that lie within one, two and three standard deviation of theeither side of the mean.The building specifications in a certain city require that the sewer pipe used in residential areas have a mean breaking strength of more than 2,500 pounds per lineal foot. A manufacture who would like to supply the city with sewer pipe has submitted a bid and provided the following additional information. An independent contractor selected a number of sections of the manufacturer's pipe and tested each for breaking strength. The results (pounds per lineal foot) are shown below with the mean and standard deviation of 2571.4 and 115.1 respectively: 2610, 2750, 2420, 2510, 2540, 2490, and 2680. At 10% level of significance, the conclusion with respect to the pipe meeting required specifications is:
- A survey found that women's heights are normally distributed with mean 62.3 in. and standard deviation 2.6 in. The survey also found that men's heights are normally distributed with mean 68.7 in. and standard deviation 3.4 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 57 in. and a maximum of 64 in. Complete parts (a) and (b) below. a. Find the percentage of men meeting the height requirement. What does the result suggest about the genders of the people who are employed as characters at the amusement park? %. The percentage of men who meet the height requirement is (Round to two decimal places as needed.)A survey found that women's heights are normally distributed with mean 63.6 in. and standard deviation 3.7 in. The survey also found that men's heights are normally distributed with mean 67.7 in. and standard deviation 3.6 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 55 in. and a maximum of 64 in. Complete parts (a) and (b) below. a. Find the percentage of men meeting the height requirement. What does the result suggest about the genders of the people who are employed as characters at the amusement park? The percentage of men who meet the height requirement is %. (Round to two decimal places as needed.) Since most men the height requirement, it is likely that most of the characters are b. If the height re jed to exclude only the tallest 50% of men and the shortest 5% of men, what are the new height requirements? meet The new height r imum of in. and a maximum of in. do not meet (Round to one de d.)An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 140lb and 181lb. The new population of pilots has normally distributed weights with a mean of 150 lb and a standard deviation of 34.8 lb.
- A tire manufacturer claims that the best quality tire sold by the company will last an average of 35,000 miles before wearing out. The standard deviation is 5600 miles. To check on the accuracy of this claim, a consumer’s group randomly selects numerous samples each consisting of 100 such tires manufactured by this company. Within what limits should the average mileage of 90% of these samples lie?A survey found that women's heights are normally distributed with mean 63.5 in. and standard deviation 3.9 in. The survey also found that men's heights are normally distributed with mean 69.8 in. and standard deviation 3.4 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 57 in. and a maximum of 63 in. Complete parts (a) and (b) below. a. Find the percentage of men meeting the height requirement What does the result suggest about the genders of the people who are employed as characters at the amusement park? The percentage of men who meet the height requirement is % (Round to two decimal places as needed.) .Federal officials have investigated the problems associated with disposal of hazardous wastes. One disposal site is the abandoned Stringfellow acid pits in Riverside County, Calif. The EPA sampled water from 12 wells in nearby Glen Avon. The EPA standard for maximum allowable radiation level of drinking water is 13.35 pCi/L. Suppose that the sample of 12 water specimens resulted in a sample mean radiation level of 18.97 pCi/L and a sample standard deviation 6.12. Is this sufficient evidence to indicate that the water in Glen Avon has a mean radiation level that exceeds the EPA standard?. Use t test. (a = 0.05) Ho = 13.35 versus Η μ > 13.35 Let μ denote the true mean radiation level for well water in Glen Avon O Reject Null Hypothesis O Failed to Reject Null Hypothesis
- Unlike most packaged food products, alcohol beverage container labels are not required to show calorie or nutrient content. An article reported on a pilot study in which each of 57 individuals in a sample was asked to estimate the calorie content of a 12 oz can of beer known to contain 153 calories. The resulting sample mean estimated calorie level was 185 and the sample standard deviation was 82. Does this data suggest that the true average estimated calorie content in the population sampled exceeds the actual content? Test the appropriate hypotheses at significance level 0.001. State the appropriate null and alternative hypotheses. Ο Η : μ = 153, Ha : μ + 153 Ο Ηo : μ = 153, Ha : μ 153 Calculate the test statistic and p-value (Round your test statistic to two decimal places and your P- value to four decimal places.) z = p-value = State the conclusion in the problem context. Do not reject the null hypothesis. There is not sufficient evidence that the true average estimated calorie…A food distribution company claims that a restaurant chain receives, on average, 26 pounds of fresh vegetables on a daily basis. The standard deviation of these shipments is known to be 4.4 pounds. The district manager of the restaurant chain decides to randomly sample 35 shipments from the company and finds a mean weight of 24.7 pounds. Test at a 3% level of significance to determine whether or not the food distribution company sends less than 26 pounds of fresh vegetables. a. Check the TWO requirements that are satisfied. The Central Limit Theorem applies. The a distribution is normal since n > 30. The a distribution is normal since the x distribution is normal. The p distribution is normal since np > 5 and nq > 5.A machine that paints traffic stripes on roads is mounted on a truck and set to a width of 4 inches. Road crews adjust the mount to ensure the width is correct. A road inspector checks the width of 45 random stripes to see if the machine has slipped out of adjustment. The mean diameter for this sample is x = 3.89 inches with a standard deviation of s = 0.5 inches. Does this indicate that the machine has slipped out of adjustment and the average width of stripes is no longer μ = 4 inches? Use a 5% level of significance. Conduct a t test to examine whether the mean width of stripes is different from 4 inches. (a) Calculate the test statistic. (Round your answer to two decimal places.) t = (b) Calculate the P-value. (Use SALT. Round your answer to four decimal places.) (c) Based on a = 0.05, what is the correct conclusion for the hypothesis test? We We would reject the null hypothesis. This means on the basis of the evidence, you can conclude that the mean width of traffic stripes is…
