A special cable has breaking strength of 800 pounds. the standard deviation of the population is...

A special cable has breaking strength of 800 pounds. the standard deviation of the population is 12 pounds . A research selects a sample of 20 cables and finds that the average breaking strength is 793 pounds. test the claim that breaking strength is less than 800 pounds. Should the null hypothesis be rejected at a=0.01? Assuming that the variable is normally distributed.

Solutions

Expert Solution

orchestra answered 1 year ago

Next > < Previous

Related Solutions

A certain type of cable has a mean breaking point of 159 pounds with a standard...

A certain type of cable has a mean breaking point of 159 pounds with a standard deviation of 6 pounds. What weight should be specified so that 95% of the cables can be expected not to break supporting that weight?

A population has a mean of 400 and a standard deviation of 800 . Suppose a...

A population has a mean of 400 and a standard deviation of 800 . Suppose a sample of size 100 is selected and is used to estimate . Use z-table. a. What is the probability that the sample mean will be within +-8 of the population mean (to 4 decimals)? .3830 b. What is the probability that the sample mean will be within +-16 of the population mean (to 4 decimals)?

A population has a mean of 800 and a standard deviation of 200. Suppose a sample...

A population has a mean of 800 and a standard deviation of 200. Suppose a sample of size 400 is selected and x is used to estimate μ. (Round your answers to four decimal places.) (a) What is the probability that the sample mean will be within ±5 of the population mean? (b) What is the probability that the sample mean will be within ±10 of the population mean? A simple random sample of 90 items resulted in a sample...

If you are using a double braid rope that has a breaking strength of 8,600 pounds,...

If you are using a double braid rope that has a breaking strength of 8,600 pounds, how much can safety be liftedonce a knot is tied in the rope? a. 860 b. 2,000 c. 1,500 d. 650

A (very large) population has a mean µ of 800 and a standard deviation σ of...

A (very large) population has a mean µ of 800 and a standard deviation σ of 25. What is the probability that a sample mean x will be within ± 5 units of the population mean for each of the following sample sizes? a. n = 50 b. n = 75 c. n = 100

A (very large) population has a mean µ of 800 and a standard deviation σ of...

Mean daily milk production for Jersey cows is 43 pounds with a known population standard deviation...

Mean daily milk production for Jersey cows is 43 pounds with a known population standard deviation of 5 pounds and we know that milk production for these cows follows a Normal model. Suppose a farmer has a small herd of 20 Jersey cows. How do we know that the distribution of the sample mean, , for the small herd of cows, is approximately Normal?

The mean mass for ostrich eggs is 3.1 pounds, and standard deviation is .5 pounds. The...

The mean mass for ostrich eggs is 3.1 pounds, and standard deviation is .5 pounds. The masses have been found to be normal in distribution. Use this information to answer the following questions. (a) Determine the probability that a randomly selected ostrich egg has a mass of more than 3.2 pounds. (b) Determine probability that 9 randomly selected ostrich eggs have masses with sample mean more than 3.2 pounds. (c) For part b, was it necessary to know that the...

A population has a mean of 180 and a standard deviation of 36. A sample of...

A population has a mean of 180 and a standard deviation of 36. A sample of 84 observations will be taken. The probability that the sample mean will be between 181 and 185 is

A population has a normal distribution with a mean of 51.4 and a standard deviation of...

A population has a normal distribution with a mean of 51.4 and a standard deviation of 8.4. Assuming n/N is less than or equal to 0.05, the probability, rounded to four decimal places, that the sample mean of a sample size of 18 elements selected from this population will be more than 51.15 is?

Subjects