The number of inquiries received per day by the Office of Admissions in a certain university is shown below. Find discrete mean distribution, variance, and standard deviation. Number of Inquiries Probability P(x) 22 0.08 23 0.19 24 0.36 25 0.25 26 0.07 27 0.05
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- The prices paid for a model of a new car are approximately normally distributed with a mean of $17,000 and a standard deviation of $500. The price that is 3 standard deviations above the mean is $_____ . The price that is 2 standard deviations below the mean is $_____ . The percentage of buyers who paid between $16,500 and $17,500 is _____% The percentage of buyers who paid between $17,000 and $18,000 is _____%. The percentage of buyers who paid less than $16,000 is _____%.The data represents the murder rate per 100,000 individuals in a sample of selected cities in the United States. Find the variance and standard deviation. Round your answer to at least one decimal place. class limit Frequency 5-11 9 12-18 5 19-25 8 26-32 3 33-39 3 40-46 7Gas mileage of vehicles follows a normal curve. A Ford Escape claims to get 25 mpg highway, with a standard deviation of 1.6 mpg. A Ford Escape is selected at random. (a) What is the probability that it will get more than 28 mpg? 1b. Suppose the test scores among a set of first year nursing students are normally distributed with a mean of 500 and a standard deviation of 100. If a student nurse scores a 700, what would be her z-score?
- esc Introduction A chain of restaurants has historically had a mean wait time of 9 minutes for its customers. Recently, the restaurant added several very popular dishes back to their menu. Due to this, the manager suspects the wait time, μ, has increased. He takes a random sample of 44 customers. The mean wait time for the sample is 9.6 minutes. Assume the population standard deviation for the wait times is known to be 3.3 minutes. Can the manager conclude that the mean wait time is now greater than 9 minutes? Perform a hypothesis test, using the 0.05 level of significance. (a) State the null hypothesis Ho and the alternative hypothesis H₁. Ho: O H₁:0 (b) Perform a Z-test and find the p-value. Here is some information to help you with your Z-test. The value of the test statistic is given by Standard Normal Distribution Step 1: Select one-tailed or two-tailed. O One-tailed O Two-tailed Explanation μ Check □<口 X X OSO 020 0=0 x-H √n • The p-value is the area under the curve to the right…Fuel economy estimates for automobiles built in a certain year predicted a mean of 24.8 mpg and a standard deviation of 7.2 mpg for highway driving. Assume that a normal distribution can be applied. Within what range are 68% of the automobiles? The range for 68% of the automobiles is to xample Get more help. mpg. Clear all Check answeThe full height of a certain species of tree has a normal probability distribution with a mean of 195.6 ft and a standard deviation of 7.5 ft. State the random variable. ¯x = the height of a certain species of tree ¯x = the mean height of a certain species of tree x = the height of a certain species of tree x = the diameter of a certain species of tree A tree of this type grows in my backyard, and it stands 187.4 feet tall. Find the probability that the height of a randomly selected tree is shorter than mine. Round to three decimal places.Which is the notation for the probability that the height is shorter than mine? P(x < 187.4) P(¯x < 195.6) P(¯x > 195.6) P(x > 195.6) P(¯x< 187.4) P(x < 195.6)
- Multiple questions(a) Approximate the mean and standard deviation. Round each to two decimals. (b) Complete the last two columns in the table above for relative frequency and cumulative frequency. Round any decimals to 3 places. Do not include the zero before the decimal. For example for 0.56, enter .56 (c) What is the shape of the distribution?Use @RISK to draw a triangular distribution with parameters 200, 300, and 600. Then superimpose a normal distribution on this drawing, choosing the mean and standard deviation to match those from the triangular distribution. (Click the Add Overlay button and then choose the distribution to superimpose.) a. What are the 5th and 95th percentiles for these two distributions? If needed, round your solutions to one decimal digit. Distribution Percentile Triangular Normal 5th 95th
- Need help pleaseDurations of clinical research studies awarded by a particular federal agency are assumed to follow a normal distribution, with a mean of 24 months and a standard deviation of 2.5 months.Find the probability that a study is awarded with a duration between 15 and 25 months.Durations of clinical research studies awarded by a particular federal agency are assumed to follow a normal distribution, with a mean of 24 months and a standard deviation of 2.5 months.Fill in the following statement, 90% of studies awarded have durations between _______ and ________ months. (Consider the middle 90% of the distribution.)