Posted by **Help** on Tuesday, June 18, 2013 at 9:40am.

A researcher believes that the average size of farms in the U.S. has increased from the 2002 mean of 471 acres. She took a sample of 23 farms in 2011 to test her belief and found a sample mean of 498.8 acres and a sample standard deviation of 46.9 acres. At a 5% levelof significance, test the researcher's claim. What is your conclusion?

2. A study by Hewitt Associates showed that 79% of companies offer employees flexible scheduling. Suppose a researcher believes that in accounting firms this figure is lower. The researcher randomly selects 415 accounting firms and determines that 310 of these firms have flexible scheduling. At a 1% level of significance, does your test show enough evidence to conclude that a significantly lower percentage of accounting firms offer employees flexible scheduling? What is the p-value for this test?

3. The American Lighting Company developed a new light bulb that it believes will last at least 700 hours on average. A test is to be conducted using a random sample of 100 bulbs, and a 5% level of significance. Assume that the population standard deviation is 15 hours. What are the consequences of making a type II error? What is the probability of making a Type II error if the true population mean is 695 hours?

## Answer This Question

## Related Questions

- statistics - A researcher wants to carry out a hypothesis test involving the ...
- statistics - A researcher wants to study the spending habits of customers of a ...
- Statistics - . A random sample is selected from a normal population with a mean ...
- Probabilty & Statistic - A random sample is selected from a normal population ...
- statistics - Scores on a certain test are normally distributed with a variance ...
- statistics - Scores on a certain test are normally distributed with a variance ...
- statistics - The scores of students on the ACT college entrance examination in ...
- statistics - A simple random sample of a size n is drawn from a population that ...
- Statistics - An IQ test is designed so that the mean is 100 and the standard ...
- statistics - historically, the average customer spends $8.53 for all TGP ...

More Related Questions