On average, the parts from a supplier have a mean of 35.8 inches and a
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On average, the parts from a supplier have a mean of 35.8 inches and a standard deviation of 2.4 inches. Find the
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- The length of a fully grown nibiscus plants is normally distributed and has a mean of 35cm. It is found that 5% of these plants are longer than 45cm. i. When plants are chosen for sale, those shorter than 30cm are rejected. Find the probability that a plant will be rejected. Find the standard deviation o. ii.Suppose that the walking step lengths of adults are normally distributed with a mean of 2.4 feet and a standard deviation of 0.3 feet. A sample of 34 step lengths is taken. Find the probability that the mean of the sample taken is more than 2.5 feet. Your answer should be from the cumulative normal distribution table.Suppose that the cost of annual tuition at colleges is normally distributed, with an average annual cost of $13,926.78. The standard deviation of tuition is $4,085.42. What proportion of colleges would be expected to have an annual tuition between the cost of College A with a tuition of $20,106.18 and College B with a tuition of $14,829.01?
- At one college, GPA's are normally distributed with a mean of 3 and a standard deviation of 0.6. Fill in the blanks, 99.7% of GPAs are between ____ and ____. A. 1.8, 4.2 B. 3, 3.6 C. 2.4, 3.6 D. 1.2, 4.8The weights of Australian Cattle Dogs are normally distributed with a mean of 25 kg and a standard deviation of 4 kg. What is the probability (%) that a randomly selected dog weighs between 23 kg and 32 kg?A survey found that women's heights are normally distributed with mean 63.4 in. and standard deviation 3.9 in. The survey also found that men's heights are normally distributed with mean 69.1 in. and standard deviation 3.9 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 57 in. and a maximum of 62 in. a. The percentage of men who meet the height requirement is %. (Round to two decimal places as needed.) b. If the height requirements are changed to exclude only the tallest 50% of men and the shortest 5% of men, what are the new height requirements? what is the new height requirements are a minimum of and a maximum of in. (Round to one decimal place as needed.)
- In a recent study reported Oct. 29, 2012 on the Flurry Blog, the mean age of tablet users is 34 years. Suppose the standard deviation is 15 years. Take a sample of size n = 100. a. What are the mean and standard deviation for the sample mean ages of tablet users? b. What does the distribution look like? c. Find the probability that the sample mean age is more than 30 years (the reported mean age of tablet users in this particular study). d. Find the 95th percentile for the sample mean age (to one decimal place).Entrance exam scores at Cititon University are normally distributed with a mean of 552 and a standard deviation of 29. If scholarships are awarded to the top 10% of scores, what is the minimum score needed to guarantee a scholarship?According to one study, the average hours of sleep on a weeknight for men was 6.9 hours with a standard deviation of 1.5 hours. These hours are normally distributed. c. Find the proportion of men who sleep between 6-8 hours per night. d. Find the number of hours that represents the 90th percentile.
- The diameter of a brand of tennis balls is approximately normally distributed with a mean of 2.5 inches and a standard deviation of 0.5 inches. A random sample of 50 ping-pong balls is selected. What is the probability that the sample mean will be between 2.4 and 2.6 inches?Construct the indicated confidence interval for the population mean μ using the t-distribution. Assume the population is normally distributed. c = 0.95, x= 13.4, s = 3.0, n=8 I (Round to one decimal place as needed.)What is the standard deviation if the variance is 6.25? A, 2.5 B, 2.8 C. 3.5 D. 3.8