Math Answers

Perpetrators of a crime who have been given the maximum sentence of 10 years are

believed bya fiscal to have been sentenced to no more than 7 years on the average.

random sample of 20of these crime offenders reveals a mean sentence of 7.6 years with a

standard deviation of 2.4 years. Is the fiscal correct in his suspicions at the 0.05 level of

significance?

Step:

1. State the null and alternative hypothesis

concerning the population mean, "\\mu" and the type of test to be used.

2.Specify the level of significance "\\alpha"

3.State the decision rule

4. Collect the data and perform calculations.

5. Make a statistical decision.

6.State the conclusion

Use the Lagrange multipliers to solve the following:

Maximize f(x,y,z) = 4x + 2y + z

subject to x² + y + z² = 1

1.1 On which very old object does a table of prime numbers appear? 

Number of ways an animal can travel from A to C via B, if there are 3 routes from A to B and 5 routes from B to C

A group of students got the following scores in a test; 5, 10, 15, and 25. Consider samples of size 2 that can be selected from the population. What is the mean of the population?

Scott answered 18 out of 20 questions on his homework assignment correctly. What percent of the questions did he miss?

Work Interruptions Survey found that out of 300 workers, 245 said they were interrupted three or more times an hour by phone messages, faxes, etc. Find the 90% confidence interval of the population proportion of workers who are interrupted three or more times an hour.

Exercise A: A hog raiser in a certain province uses two meth ods of pig-farming: intensive pig farming, where pigs are housedindoorsin group-housing or straw-lin essheds; andextensive pigfarming, where pigs are allowed to wander around the farm or fence. Test the hypothesis wheth er or not the mean weight of pigs in intensive farmingis better th an the extensive farming based from the mean weight of the pigs in the sample with data shown below. Use a one-tailed test at a = 1%. Inten sive farming: X, = 85 kg, si = 10 kg, and n = 55 Extensive farming: X, = 79 kg, s = 6 kg, and n, = 45

Suppose a book of 585 pages contains 43 types of graphical errors if these errors are randomly distributed throughout the book .what is the probability that 10 pages selected at random will be free from errors

Show that if W consist of these vectors (a, b, c)€R³ for which a=2b then W is subspace of R³