The heights of miniature spruce trees have a normal distribution with μ = 75.5 inches and o=2.0 inches. Determine the probability that one randomly selected miniature spruce tree's height is less than 72 1 inches. 2 inches. Determine the probability that one randomly selected miniature spruce tree's height is more than 76.8
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- Susan jogs to the park each day and the trip takes an average of µ = 22 minutes. The distribution of jog times is approximately normal with a standard deviation of σ = 10 minutes. For a randomly selected day, what is the probability that Susan’s jog to the park will take less than 16 minutes? Select one: a. 0.2743 b. 0.8957 c. 0.3236 d. 0.7554The average grade for an exam is 74, the standard deviation is 7 and the grades are curved to follow a normal distribution. Find the probability that a student will get a grade from 81 to 88 Select one: O a. 0.451 b. 0.612 O c. 0.1359 O d. 0.561The average number of cavities that thirty-year-old Americans have had in their lifetimes is 8. Do twenty-year-olds have a different number of cavities? The data show the results of a survey of 13 twenty-year-olds who were asked how many cavities they have had. Assume that the distribution of the population is normal. 11, 7, 6, 12, 8, 9, 10, 11, 10, 6, 8, 10, 10 What can be concluded at the αα = 0.10 level of significance? The null and alternative hypotheses would be: Please provide number H0:H0: mean = __?__ H1:H1: mean not equal to __?__ The test statistic t = __?__(please show your answer to 3 decimal places.) The p-value = __?__ (Please show your answer to 4 decimal places.)
- The packaging process in a breakfast cereal startup company has beenadjusted so that an average net weight of 13.0 ounces of cereal is placed in each package. The standarddeviation of the actual net weight is 0.1 ounces, and the variation follows a normal distribution.Determine the probability that a randomly chosen package will contain between 12.9 and 13.2 ouncesof cereal. Include an illustration of the graph with your answer.A certain brand of automobile tire has a life expectancy that ie normally dietributed with a mean of u= 20000 milee and etandard deviation of o= 2500 milee. What ie the probability that a randomly chosen tire will last between 17500 miles and 25000 mileo? Select one: a. 0.8413 O b. 0.7 c. 0.8185 O d. 0.8The level of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) in the exhaust over the useful life (150,000150,000 miles of driving) of cars of a particular model varies Normally with mean 8080 mg/mi and standard deviation 66 mg/mi. A company has 1616 cars of this model in its fleet. Using Table A, find the level ?L such that the probability that the average NOX + NMOG level ?¯x¯ for the fleet greater than ?L is only 0.030.03 ? (Enter your answer rounded to three decimal places. If you are using CrunchIt, adjust the default precision under Preferences as necessary. See the instructional video on how to adjust precision settings.)
- The NJ Department of Health has reported the average life span of NJ residents is 81 years. If the standard deviation is σ = 4 years, what is the probability of a person living to at least 92 years of age?The amount of time a marker takes to mark a single Advanced Business Statistics exam script has a normal distribution with mean 336 seconds and standard deviation 198 seconds. One script is selected at random. Find the probability that it takes the marker more than 500 seconds to complete marking this script. A. 0.2033 B. 0.2967 C. 0.7033 D. 0.7967The level of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) in the exhaust over the useful life (150,000150,000 miles of driving) of cars of a particular model varies Normally with mean 8080 mg/mi and standard deviation 44 mg/mi. A company has 2525 cars of this model in its fleet. Using Table A, find the level ?L such that the probability that the average NOX + NMOG level ?¯x¯ for the fleet greater than ?L is only 0.050.05 ? (Enter your answer rounded to three decimal places. If you are using CrunchIt, adjust the default precision under Preferences as necessary. See the instructional video on how to adjust precision settings.) ?= ?