statistics

posted by .

It is claimed the average age of employee in a large company is 50. A sample of 36 employees is taken and the average age was 49. The standard deviation of the population was 5. Use a level of significance of .05. What do you think of this claim?

  • statistics -

    Try a one-sample z-test on this data:
    z = (sample mean - population mean)/(standard deviation divided by the square root of the sample size)

    z = (49 - 50)/(5/√36)

    I'll let you finish the calculation.

    Check a z-table for your critical or cutoff value at .05 level of significance. Compare the test statistic you calculated to the critical value from the table. Draw your conclusions.

    I hope this will help get you started.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Statistics

    The average age of chemical engineers is 37 years with a standard deviation of 4 years. If an engineering firm employs 25 chemical engineers, find the probability that the average age of the group is greater than 38.2 years old. If …
  2. statistics

    The average age of a vehicle registered in the U.S. is 8 years, or 96 months. If a random sample of 36 vehicles is selected, find the probability that the mean of their age is between 98 and 100 months. Assume the standard deviation …
  3. statistics

    The average age of evening students at a local college has been 21. A sample of 19 students was selected in order to determine whether the average age of students had increased. The average age of the students in the sample was 23 …
  4. statistics

    A company that manufacturers bookcases finds that the average time it takes an employee to build a bookcase is 23 hours with a standard deviation of 8 hours. A random sample of 64 employees is taken. What is the likelihood that the …
  5. college math

    8. Sample data on employee age for a large auto parts manufacturer are as follows: Employee Age Frequency 25-29 25 30-34 33 35-39 62 40-44 26 45-49 31 50-54 8 What is the mean age of the employees?
  6. Statistics

    The average annual salary of employees at Wintertime Sports was $28,750 last year. This year the company opened another store. Suppose a random sample of 18 employees had an average annual salary of $25,810 with standard deviation …
  7. Probability and Statistics

    For questions 1- 5 use confidence intervals to test the hypothesis. 1) A light bulb producing company states that its lights will last an average of 1200 hours with a standard deviation of 200 hours. A sample of 100 light bulbs from …
  8. statistics

    A store manager claims that the average age of his customers is less than 40 years old, while the industry average is 40 years old. He asks you to test his thinking. You collect a sample of 50 customers and found that the average age …
  9. math

    it is claimed that the average age of employees in a large company is 50. a sample of 36 employees is taken and the average age was 49. the standard deviation of the population was 5. use a level of significance of 0.5. what do you …
  10. statistics

    2. At a local university, a sample of 49 evening students was selected in order to determine whether the average age of the evening students is significantly different from 21. The average age of the students in the sample was 23 years. …

More Similar Questions