Question

The weight of gravel, in kilograms, collected by a power shovel may be modeled by a...

The weight of gravel, in kilograms, collected by a power shovel may be modeled by a normal distribution with unknown mean, µ, and standard deviation 50. The weights of a random sample of 20 collections have a mean of 1030 kg.

Calculate the margin of error for a 99% confidence interval estimate of µ

State the 99% confidence interval for the mean, µ.

What sample size is needed so that the error is no more than 15 kg? n = power shovels

0 0
Add a comment Improve this question Transcribed image text
Know the answer?
Add Answer to:
The weight of gravel, in kilograms, collected by a power shovel may be modeled by 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
  • Suppose a university wishes to estimate the average weight of their undergraduate male students. A random...

    Suppose a university wishes to estimate the average weight of their undergraduate male students. A random sample of 200 undergraduate male students at this university are sampled. It is found that the sample mean weight is 83.3 kg, with a corresponding 95% confidence interval for mu of (81.3, 85.3). Of the following options, which one is the most appropriate interpretation of that interval? We can be 95% confident that the sample mean weight of the 200 undergraduate male students in...

  • We want to estimate the mean weight of all 7th grade boys in a city. It...

    We want to estimate the mean weight of all 7th grade boys in a city. It is not known whether the distribution of the weights is normal or not. Suppose we have a random sample of 25 boys from 7th grade from that city and suppose the mean weight of these 25 boys is 50 Kilograms and the standard deviation is 5.6 kilograms. What is the 99% confidence interval for the mean weight (in Kilograms) of all boys in 7th...

  • pleaseeee Total plasma volume is important in determining the required plasma component in blood replacement therapy...

    pleaseeee Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 47 male firefighters are tested and that they have a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma per kilogram body weight). Assume that o = 7.40 ml/kg for the distribution of blood plasma. (a) Find...

  • The birth weight in the United States has a standard deviation of σ = 575. A...

    The birth weight in the United States has a standard deviation of σ = 575. A random sample of n = 30 birth weights give ¯x = 3189. (a) Find a 90% confidence interval and interpret it. [3] (b) Suppose now σ is unknown but a sample size of n = 15 is taken yielding a sample standard deviation of s = 538. Find the 90% confidence interval for µ again. (c) Suppose σ is unknown again but a sample...

  • Total plasma volume is important in determining the required plasma component in blood replacement therapy for...

    Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 43 male firefighters are tested and that they have a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma per kilogram body weight). Assume that σ = 7.40 ml/kg for the distribution of blood plasma. (a) Find a...

  • Total plasma volume is important in determining the required plasma component in blood replacement therapy for...

    Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 45 male firefighters are tested and that they have a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma per kilogram body weight). Assume that σ = 7.40 ml/kg for the distribution of blood plasma. (a) Find a...

  • Total plasma volume is important in determining the required plasma component in blood replacement therapy for...

    Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 50 male firefighters are tested and that they have a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma per kilogram body weight). Assume that σ = 7.60 ml/kg for the distribution of blood plasma. (a) Find a...

  • An engineer measures the weights (in kilograms) of steel pieces. They would like to test H0...

    An engineer measures the weights (in kilograms) of steel pieces. They would like to test H0 : µ = 5 against H1 : µ > 5. The weights follow a normal distribution with variance 16. Using a sample of size n = 25, the engineer decides to reject H0 if x > 6. Assuming that the true population mean is 5.2, determine the probability of committing an error of Type II error.

  • a. You measure 43 watermelons' weights, and find they have a mean weight of 48 ounces....

    a. You measure 43 watermelons' weights, and find they have a mean weight of 48 ounces. Assume the population standard deviation is 2.2 ounces. Based on this, what is the maximal margin of error associated with a 95% confidence interval for the true population mean watermelon weight? Give your answer as a decimal, to two places ± ounces b. You measure 25 watermelons' weights and find they have a mean weight of 44 ounces. Assume the population standard deviation is...

  • In a random sample of 64 trout, the average weight is 3 pounds, with standard deviation...

    In a random sample of 64 trout, the average weight is 3 pounds, with standard deviation s = .5 pounds Find: sample mean standard error of the sample mean margin of error 95% 95% confidence interval for the population mean, µ:

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