the salaries of the employees in a company follow the normal distribution with mean $16000 and standard deviation $800. (a) What is the probability that the salary of an employee is higher than $18000? (b) There is 80% chance that the salary of an employee is less than $t. Find the value of t. (c) If 20 employees are randomly chosen from the company and the mean salary of the employees is calculated. The manager of the company claims that over 20% of the mean salaries of the employee are higher than $16200. Do you agree?
- the salaries of the employees in a company follow the normal distribution with
mean $16000 and standard deviation $800.
(a) What is the probability that the salary of an employee is higher than $18000?
(b) There is 80% chance that the salary of an employee is less than $t. Find the value of t.
(c) If 20 employees are randomly chosen from the company and the mean salary of the employees is calculated. The manager of the company claims that over 20% of the mean salaries of the employee are higher than $16200. Do you agree?
- It is known that the weights of apples from a farm are
normally distributed . In order to estimate the mean weight, a random sample of 150 apples is considered and the sample mean and population standard deviation are 6 kg and 0.8 kg respectively.
(a) Construct a 95% confidence
(b) The researcher suggests doing the study again so that 98% confidence interval estimate for the population mean weight of apples is (5.8835,6.1165) kg. How large should the sample size be?
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