Assume that the traffic to the web site of Smiley's People, Ic., which sells customizec follows a normal distribution, with a mean of 6.5 million visitors per day and a standa 3 million visitors per day. What is the probability that the web site has more than 1.5 r a single day?
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- Assume that the height of a type of tree has a normal probability distribution with a mean of 85.9 ft and a standard deviation of 9.4 ft. A tree of this type grows in my backyard and it stands 59.6 feet tall. Find the probability that the height of a randomly selected tree is as tall as mine or shorter. My neighbor also has a tree of this type growing in her backyard, but hers stands 74.6 feet tall. Find the probability that the full height of a randomly selected tree is at least as tall as hers. Enter your answers as decimals accurate to 3 decimal places.A machine at Katz Steel Corporation makes 5-inch-long nails. The probability distribution of the lengths of these nails is approximately normal with a mean of 5 inches and a standard deviation of 0.09 inch. The quality control inspector takes a sample of 25 nails once a week and calculates the mean length of these nails. If the mean of this sample is either less than 4.96 inches or greater than 5.04 inches, the inspector concludes that the machine needs an adjustment. What is the probability that based on a sample of 25 nails, the inspector will conclude that the machine needs an adjustment?Suppose the scores, x, on a college entrance examination are normally distributed with a mean of 1000 and a standard deviation of 100. If you pick 4 test scores at random, what is the probability that at least one of the test score is more than 960?
- Assume that the weights of all packages of a certain brand of cookies are normally distrib- uted with a mean of 32 ounces and a standard deviation of .3 ounce. Find the probability that the mean weight, x, of a random sample of 20 packages of this brand of cookies will be be- tween 31.8 and 31.9 ounces.Assume that the traffic to the web site of Smiley's People, Inc., which sells customized T-shirts, follows a normal distribution, with a mean of 4.44 million visitors per day and a standard deviation of 870,000 visitors per day. What is the probability that the web site has 3 million or more visitors in a single day? (Round your answer to four decimal places.)Assume that the traffic to the web site of Smiley’s People, Inc., which sells customized T-shirts, follows a normal distribution, with a mean of 4.6 million visitors per day and a standard deviation of 880,000 visitors per day. What is the probability that the web site has between 3 million and 4 million visitors in a single day? If needed, round your answer to four decimal digits.
- For a standardized psychology examination intended for psychology majors, the historical data show that scores have a mean of 515 and a standard deviation of 170. The grading process of this year's exam has just begun. The mean score of the 35 exams graded so far is 518. What is the probability that a sample of 35 exams will have a mean score of 518 or more if the exam scores follow the same distribution as in the past? Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.For a standardized psychology examination intended for psychology majors, the historical data show that scores have a mean of 515 and a standard deviation of 175. The grading process of this year's exam has just begun. The average score of the 40 exams graded so far is 518. What is the probability that a sample of 40 exams will have a mean score of 518 or more if the exam scores follow the same distribution as in the past? Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places. Sub ContinueFor a standardized psychology examination intended for psychology majors, the historical data show that scores have a mean of 515 and a standard deviation of 175. The grading process of this year's exam has just begun. The average score of the 35 exams graded so far is 526. What is the probability that a sample of 35 exams will have a mean score of 526 or more if the exam scores follow the same distribution as in the past? Carry your intermediate computations to at least four decimal places: Round your answer to at least three decimal places. Submit Assignment 2021 McGraw Hil LLC. All Rights Reserved. Terms of Use Privacy Center Accessibility US Continue V O 8:19 hp esc 2# 8. 3 4. t 00
- Customers of a restaurant have been complaining about food poisoning over the past week. A health professional was called to investigate. She tested a representative sample of the eggs and reported that 24% of the sample eggs tested positive for the salmonella bacterium. If a second health professional tests 66 eggs at random, what is the probability that exactly 14 test positive for salmonella? Use a normal distribution to approximate the answer and write it as a decimal rounded to the nearest hundredth.Assume that the traffic to the web site of Smiley's people, Inc., which sells customized T-shirts, follows a normal distribution, with a mean of 4.4 million visitors per day and a standard deviation of 740000 visitors per day what is the probability that the web site has fewer than 5 million visitors in a single day? (Round to 4 decimal places)A dean in the business school claims that GMAT scores of applicants to the school's MBA program have increased during the past 5 years. Five years ago, the mean and standard deviation of GMAT scores of MBA applicants were 550 and 60, respectively. 30 applications for this year's program were randomly selected and the GMAT scores recorded. If we assume that the distribution of GMAT scores of this year's applicants is the same as that of 5 years ago, find the probability of erroneously concluding that there is not enough evidence to supports the claim when, in fact, the true mean GMAT score is 590. Assume αα is 0.02.