Suppose we are concerned about the variability of the number of raisins in a box of raisin bran. Assume that the number is distributed normally. If a random sample of 16 boxes is taken, what is the probability that the sample variance will be more than twice the population variance?
here as we know that chi square test statistic X2 =(n-1)(s/σ)2 with (n-1) degree of freedom
therefore P(s2/ σ2 >2 )=P((n-1)(s/σ)2 >2*(16-1))=P(X2 >30) =0.0119
Suppose we are concerned about the variability of the number of raisins in a box of...
Hello, I need help with the following two questions. Please show your computations. Thank you! The number of raisins in a 24 oz. box of Raisin Bran Cereal is normally distributed with a mean of 100 raisins and a standard deviation of 15 raisins. Help the manager decide the raisin count per box for the top 3% boxes with respect to the raisin content. In other words, how many raisins must be in a box so that the box is...
A popular brand of raisin bran cereal boasts that each box contains 2 cups of raisins. Suppose 36 cereal boxes are randomly sampled with a sample mean of 1.9 cups of raisins in each box with a standard deviation of 0.23 cups. Construct a 95% confidence interval for the true mean of cups of raisins in this brand of cereal. Show your work to receive full credit!
A consumer advocacy group is concerned about the variability in the cost of prescription medication. The group surveys eight local pharmacies and obtains the following prices (in %) for a particular brand of medication: (You may find it useful to reference the appropriate table: chi-square table or F table) 25.50 22.00 30.00 30.00 24.50 22.50 38.00 36.50 Click here for the Excel Data File a. Calculate the point estimate for the population variance. (Round intermediate calculations to at least 4...
Suppose ‘G’ is the grade of gasoline used by all professional drivers on the college team. Suppose G is normally distributed with a mean of 104, but an unknown variance. A random sample of 9 drivers is drawn from this population. What is the probability that the sample average is more than 102 with a sample variance of 9?
The weight of the contents of a type of box of cereal is normally distributed with population mean μ = 30 ounces and population standard deviation σ = 3.2 ounces. A random sample (size n = 25) is taken. What is the probability that the sample mean is less than 31.74 ounces?
Problem 9.5. Suppose that an electrical component manufactured by Johnny Depp Electrical Company is designed to provide a mean service life of 1,000 hours, with a standard deviation of 100 hours. Assume that the service life is normally distributed. (a) When a customer purchases one component, what is the probability that the service life of the component will exceed 1,100 hours? P[ X > 1,100 ] = P[ Z > 1 ] = 15.87% (b) Suppose that a customer purchases...
4. A lift has an occupancy warning of no more than 25 people and of total weight no more than 1950kg. For a population of users, suppose weights are normally distributed with mean 75kg and standard deviation 10kg (a) What is the probability that the total weight of a random sample of 25 people from the population exceeds 1950kg? (b) Calculate the probability that a random sample of 24 people sets the alarm off. (c) Suppose people carry things with...
For a given population, suppose we wish to test H0:μ=20 versus H0:μ=20 at α=0.1 . If we plan to take a random sample of 16 observations from a normally distributed population with unknown variance, then what is the critical value (or rejection point) for this test?
Suppose that a random variable is normally distributed with mean μ and variance σ2 and we draw a random sample of 5 observations from this distribution. What is the joint probability density function of the sample?
Page 1 Question 1 Suppose we take repeated random samples of size 20 from a population with a Select all that apply. mean of 60 and a standard deviation of 8. Which of the following statements is 10 points true about the sampling distribution of the sample mean (x)? Check all that apply. A. The distribution is normal regardless of the shape of the population distribution, because the sample size is large enough. B. The distribution will be normal as...