The height of an adult giraffe has a normal distribution with mean 19 feet and standard deviation 0.8 feet. The tallest 11% of adult giraffes have height more than what value?
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The tallest 11% of adult giraffes have height more than what value?
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- The weight distribution of the adult population of the town of KJH is normally distributed with a mean of 169 pounds and standard deviation 23.6 pounds. Given the information above, compute the following: The probability that a person chosen at random from this population will be heavier than 139 pounds. The probability that a person chosen from this population will be lighter than 182 pounds. The probability that a person chosen from this population will be between the weights of 182 pounds and 200 pounds. What weight separate the heavier 8% portion of the population to the rest? What weights separate the middle 86% of the population to the rest of the population?The mean height of women in a country (ages 20−29) is 63.9 inches. A random sample of 60 women in this age group is selected. What is the probability that the mean height for the sample is greater than 65 inches? Assume σ=2.84. The probability that the mean height for the sample is greater than 65 inches is nothing.The results of a national survey showed that on average, adults sleep 6.9 hours per night. Suppose that the standard deviation is 1.2 hours and that the number of hours of sleep follows a bell-shaped distribution. a. Use the empirical rule to calculate the percentage of individuals who sleep between 4.5 and 9.3 hours per day. b. What is the z-value for an adult who sleeps 8 hours per night? c. What is the z-value for an adult who sleeps 6 hours per night?
- An airliner carries 200 passengers and has doors with a height of 78 in. Heights of men are normally distributed with a mean of 69.0 in and a standard deviation of 2.8 in. Complete parts (a) through (d). a. If a male passenger is randomly selected, find the probability that he can fit through the doorway without bending. The probability is____ (Round to four decimal places as needed.) b. If half of the 200 passengers are men, find the probability that the mean height of the 100 men is less than 78 in. The probability is____ (Round to four decimal places as needed.) c. When considering the comfort and safety of passengers, which result is more relevant: the probability from part (a) or the probability from part (b)? Why? A. The probability from part (b) is more relevant because it shows the proportion of flights where the mean height of the male passengers will be less than the door height. B. The probability from part (a) is more relevant…the mean prices of homes in a certain neighborhood is $50,000 and the standard deviation is $10,000. find the proportion of homes that fall between $30,000 and $70,000The owner of a fish market has an assistant who has determined that the weights of catfish are normally distributed, with a mean of 3.2 pounds and a standard deviation of 0.8 pound. If a sample of 64 fish yields a mean of 3.1 pounds, what is probability of obtaining a sample mean this large or larger? 0.3085 0.6915 0.0228 0.8413
- In a sampling application to determine the average weight of students enrolled in a fitnessclass, if the sample estimate is 120 pounds, the precision is 10 pounds, and the reliability is90 percent, which of the following statements is true?a. There is 10 percent likelihood that the average weight of a student in the class is morethan 130 pounds.b. There is 10 percent likelihood that the average weight of a student in the class is less than110 pounds.c. There is 90 percent likelihood that the average weight of a student in the class is less than110 pounds or more than 130 pounds.d. There is a 90 percent likelihood that the average weight of a student in the class is between110 and 130 pounds.A study of homeowners in the 5th congressional district in Maryland found that their annual household incomes are normally distributed with a mean of $41,182 and a standard deviation of $11,990 (based on data from Nielsen Media Research). a. What percentage of household incomes are greater than $30,000?b. What percentage of household incomes are between $25,000 and $40,000?c. If an advertising campaign is to be targeted at those whose household incomes are in the top 20%, find the minimum income level for this target group?The average starting salary for this year's graduates at a large university (LU) is $20,000 witha standard deviation of $8,000. Furthermore, it is known that the starting salaries are normallydistributed.a. What is the probability that a randomly selected LU graduate will have a starting salaryof at least $30,400? (3 marks)b. What is the probability that a randomly selected LU graduate will have a salary ofexactly $30,400? (2 marks)c. Individuals with starting salaries of less than $15600 receive a low income tax break.What percentage of the graduates will receive the tax break? (2 marks)d. If 189 of the recent graduates have salaries of at least $32240, how many studentsgraduated this year from this university?
- You want to estimate the mean amount of time Internet users spend on Facebook each month. How many Internet users must be surveyed in order to be 95% confident that your sample mean is within 15 minutes of the population mean? Based on results from a prior Nielsen survey, assume that the standard deviation of the population of monthly times spent on Facebook is 210 min. 249 753 1267 898 1432Dunlop company conducts tests on tires life . For a particular tires, the standard deviation is 6000 kilometers,and the 68% of tires life failed between two values (102000 , 78000) what is the value of the mean life of dunlop tires ?Duke Energy reported that the cost of electricity for an efficient home in a particular neighborhood of Cincinnati, Ohio, was $104 per month. A researcher believes that the cost of electricity for a comparable neighborhood in Chicago, Illinois, is higher. A sample of homes in this Chicago neighborhood will be taken and the sample mean monthly cost of electricity will be used to test the following null and alternative hypotheses. Assume the sample data lead to rejection of the null hypothesis. What would be your conclusion about the cost of electricity in the Chicago neighborhood? What is the Type I error in this situation? What are the consequences of making this error? What is the Type II error in this situation? What are the consequences of making this error?
