Assume that the sick leave, X, taken by the typical worker per year has mean µ = 10 and standard deviation σ = 2 measured in days. (A) Find the approximate probability that the number of sick days per year for a randomly selected employee from the firm exceeds 11? (B) Find the 90th percentile of the number of sick days per year.
Assume that the sick leave, X, taken by the typical worker per year has mean µ...
Assume that women’s heights are normally distributed with a mean given by µ = 63.5 in, and a standard deviation given by σ = 2.9 in. If 1 woman is randomly selected, find the probability that her height is less than 61 in. Round to four decimal places and leave as a decimal If 70 women are randomly selected, find the probability that they have a mean height less than 64 in. Round to four decimal places and leave as...
A company decides to investigate the amount of sick leave taken by its employees. A sample of seven employees yields the following numbers of days of sick leave taken in the past year 0140072 Use this information to answer parts a through c. a. Find and interpret the range. The range is 7 days. Choose the correct interpretation of the range below A. The number of days separating the fewest and most sick days taken is equal to the range....
Assume that adults have IQ scores that are normally distributed with a mean of µ =105 and a standard deviation σ = 20. Find the probability that a randomly selected adult has an IQ between 95 and 115. The probability that a randomly selected adult has an IQ between 95 and 115 is _____.
The mean number of sick days per employee taken last year by all employees of a large city was 10.6 days. A city administrator is investigating whether the mean number of sick days this year is different from the mean number of sick days last year. The administrator takes a random sample of 40 employees and finds the mean of the sample to be 12.9. A hypothesis test will be conducted as part of the investigation. Which of the following...
Assume that all SAT scores are normally distributed with a mean µ = 1518 and a standard deviation σ = 325. If 100 SAT scores (n = 100) are randomly selected, find the probability that the scores will have an average less than 1500. TIP: Make the appropriate z-score conversion 1st, and then use Table A-2 (Table V) to find the answer. Assume that all SAT scores are normally distributed with a mean µ = 1518 and a standard deviation...
6. The number of sick days taken by teachers in a certain school district has mean 8 and standard deviation 3. A school within the district has 25 teachers. Assuming independence, how many sick days should the school’s superintendent budget if the superintendent wants the probability of exceeding the budgeted days to be 10%
Assume the random variable X is normally distributed with mean μ= 50 and standard deviation σ 7. Find the 87th percentile. The 87th percentlie is Round to two decimal places as needed.) The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with a mean of 1252 chips and standard deviation 129 chips (a) What is the probability that a randomly selected bag contains between 1100 and 1400 chocolate chips, inclusive? (b) What...
The mean number of sick days an employee takes per year is believed to be about 10. Members of a personnel department do not believe this figure. They randomly survey 8 employees. The number of sick days they took for the past year are as follows: 10; 6; 14; 4; 10; 9; 8; 9. Let X = the number of sick days they took for the past year. Should the personnel team believe that the mean number is about 10?...
A researcher wishes to see if the average number of sick days a worker takes per year is greater than 2.8. A random sample of 30 workers at a large department store had a mean of 3.1. The standard deviation of the population is 0.8. Is there enough evidence to support the researchers claim at α = 0.01?
Suppose that the weight of Florida navel oranges is normally distributed with mean µ = 8 ounces, and standard deviation σ = 1.5 ounces. (a) (1 point) State the model in notation form. (b) (2 points) What proportion of oranges weigh more than 11.5 ounces? (c) (2 points) What proportion of oranges weigh less than 8.7 ounces? (d) (2 points) What proportion of oranges weigh between 6.2 and 7 ounces? Page 3 (e) (5 points) What are the median, mode,...