Question

average weekly earnings of bus drivers in a city are $1050 (that is μ) with a...

average weekly earnings of bus drivers in a city are $1050 (that is μ) with a standard deviation of $54 (that is σ). Assume that we select a random sample of 81 bus drivers.

a.

Assume the number of bus drivers in the city is large compared to the sample size. Compute the standard error of the mean.

b.

What is the probability that the sample mean will be greater than $1080?

c.

If the population of bus drivers consisted of 400 drivers, what would be the standard error of the mean?

0 0
Add a comment Improve this question Transcribed image text
Know the answer?
Add Answer to:
average weekly earnings of bus drivers in a city are $1050 (that is μ) with a...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • PART 1 Let X represent the average age of people living in Sun City. Assume that...

    PART 1 Let X represent the average age of people living in Sun City. Assume that X has a normal probability distribution with μ=72 years and σ=10 years. You intend to measure a random sample of n=51 people. What is the mean of the distribution of sample means? μ¯x= What is the standard deviation of the distribution of sample means (i.e., the standard error in estimating the mean)? (Report answer accurate to 2 decimal places.) σ¯x= PART 2 In a...

  • 99 and standard deviation σ A population whose distribution is unknown has mean μ and a sample of...

    99 and standard deviation σ A population whose distribution is unknown has mean μ and a sample of size 26 is drawn from this population, then 1, a. The mean oJ a b. The standard error ot c. The distribution of A population whose distribution is unknown has mean μ = 99 and standard deviation σ = 7 and a sample of size 26 is drawn from this population, then 1, a. b. c. The mean of X= The standard...

  • 25> Consider a variable known to be Normally distributed with unknown mean μ and known standard...

    25> Consider a variable known to be Normally distributed with unknown mean μ and known standard deviation σ-10. (a) what would be the margin of error of a 95% confidence interval for the population mean based on a random sample size of 25? The multiplier for a z confidence interval with a 95% confidence level is the critical value z. 1.960. (Enter your answer rounded to three decimal places.) margin of error 25 (b) What would be the margin of...

  • 7. Suppose that the average weekly earnings for employees in general automotive repair shops is $450,...

    7. Suppose that the average weekly earnings for employees in general automotive repair shops is $450, and that the standard deviation for the weekly earnings for such employees is SSO. A sample of 100 such employees is selected at random. a) Find the mean and standard deviation of the sampling distribution of the average weekly earnings in the sample. (b) Find probability that the mean of the sample is less than $445. (e) Find the probability that the mean of...

  • An intervention program was implemented to improve the work conditions of city bus drivers. Heart rates...

    An intervention program was implemented to improve the work conditions of city bus drivers. Heart rates of 10 drivers who drove on the improved routes (intervention) showed a mean of 67.90 beats per mins and a standard deviation of 5.49 mins whereas the heart rate of 31 drivers assigned the normal routes (control) showed a mean of 66.81 mins and a standard deviation of 9.04 mins. a) At alpha = 0.05, is there evidence to conclude that the intervention program...

  • The utility bills (in dollars) of 10 randomly selected homeowners in one city are listed below....

    The utility bills (in dollars) of 10 randomly selected homeowners in one city are listed below. Construct a 95% confidence interval for the mean. Assume the population is normally distributed. 70, 72, 71, 70, 69, 73, 69, 68, 70, 78 (68.95, 73.05) (69.00, 78.00) (70.05, 72.95) (68.13, 73.87) Suppose a 98% confidence interval for μ turns out to be (1000, 2100). If this interval was based on a sample of size n = 22, find the value of the margin...

  • A population has a mean μ=71 and a standard deviation σ=27. Find the mean and standard...

    A population has a mean μ=71 and a standard deviation σ=27. Find the mean and standard deviation of a sampling distribution of sample means with sample size n=81. μx=_____ (Simplify your​ answer.)

  • Answers only is fine! Find the critical value zc necessary to form a confidence interval at...

    Answers only is fine! Find the critical value zc necessary to form a confidence interval at the level of confidence shown below. c=0.92 Find the margin of error for the given values of​ c, σ​, and n. c = 0.95​, σ =2.4​, n = 8.1 Level of Confidence.       zc 90%                             1.645 95%                             1.96 99%                             2.575 Construct the confidence interval for the population mean μ. c=0.98​, x=9.5​, σ=0.3​, and n= 52 Construct the confidence interval for the population mean μ. c=0.95​, x=16.7​, σ=6.0​, and n=...

  • A random sample of size 36 is to be selected from a population that has a mean μ = 50 and a standard deviation σ of 10

    A random sample of size 36 is to be selected from a population that has a mean μ = 50 and a standard deviation σ of 10.    * a. This sample of 36 has a mean value of , which belongs to a sampling distribution. Find the shape of this sampling distribution.    * b. Find the mean of this sampling distribution.    * c. Find the standard error of this sampling distribution.    * d. What is the...

  • 2. Consider a large population with mean μ and known standard deviation σ = 5. There are two inde...

    2. Consider a large population with mean μ and known standard deviation σ = 5. There are two independent simple random samples of this population, one with n 150, and the other with n2 = 400, Denote the two sample means by , and X2, respectively. Let Cli and C12 be the usual 95% confidence intervals, constructed from each of the two samples. What is the probability that at the same time, X E CI2 and X2 E CI? 2....

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT