Math Answers

Assuming the mean and SD are the same for this year’s national exam, what percentage of test-takers scored above and below you if your score is 1900 and given that X ~ N(1600, 140). Using the empirical rule, find the percentage of students who scored between 1880 and 1920?

Assuming the mean and SD are the same for this year’s national exam, what percentage of test-takers scored above and below you if your score is 1900 and given that X ~ N(1600, 140). Using the empirical rule, find the percentage of students who scored between 1880 and 1920?

Find the range the standard deviation and the variance for the given samples

The manager of a restaurant in a large city claims that waiters working in all restaurants in his city earn an average of $150 or more in tips per week. A random sample of 25 waiters selected from restaurants of this city yielded a mean of $139 in tips per week with a standard deviation of $28. Assume that the weekly tips for all waiters in this city have a normal distribution.

a. Using the 1% significance level, can you conclude that the manager’s claim is true? Use the p value approach (20 Mks)

Which best describes the given compound propositions [p ∧ (q v r)] <-> [(p ∧ q) v (p ∧ r)]

State whether the null hypothesis should be rejected on the basis of given P-value. P-value 0.002, a 0.01, one-tailed test.

Steel can be produced using three different methods: The following table lists the average cost per ton of steel for each method.

Type of Cost Basic Continuous Electric

Process Casting Furnace

Materials 150 140 120

Labor 80 75 70

Capital 100 100 60

Energy 20 15 50

Other 45 40 25

a. Production of steel by electric furnace is a relatively new development (beginning in late 1970s) and accounts for a growing fraction of total steel sold. What is your prediction about the future production share of this method?

b. If there were a new energy crisis how would this affect steel makers choices of production methods?

c. Suppose the price of steel scrap is expected to fall significantly over the next five years. What effect would this have on the choice of production method?

a die has 6 faces having dots x = 1, 2 3 4 5 6. Given the population, illustrate the central limit theorem and the sampling distrubution of sample mean n= 3. I need the answer asap. Thank you.

Determine whether each of these functions from {a,b,c,d} to itself is one-to-one. a) f(a)=b, f(b)=a, f(c)=c, f(d)=d

Given a die it has 6 faces in which gas either dot of x = 1, 2,3, 4, 5,6. Consider the sample of size n= 3. Illustrate the sampling distrubution and the central limit theorem.