Statistics

Probability Solutions

Given a standard normal distribution, what is the value of P(Z < 1.32 or z > 2.51)= 0 .9066 0 .9126 0 .0874

A jar has 2 red marbles 2 blue marbles. Two marbles are chosen from the jar without replacement. a) The probability that the marbles are the same color is b) The probability that at least one of the marbles is red is c) The probability that the marbles are NOT the same color is

Statistics Solutions

Suppose that the time required to finish a Statistics Final is normally distributed with a mean time to finish of 120 minutes with a standard deviation of 10 minutes. If 9 students who took this test are selected randomly, what is the probability that 5 of them required more than 125 minutes?

Math - Others

Linear Programming Solutions

In your own words, how do you read the solution from the final simplex tableau?

Use the simplex method to minimize the following : Minimize g = 2y₁ + 4y₂ subject to 4y₁ + y₂ ≥ 116 y₁ + 4y₂ ≥ 164 y₁ ≥ 0, y₂ ≥ 0 If no solutions exist enter DNE in all answerboxes. y₁ = _______ y₂ = _______ g = _______

Use the simplex method to minimize the following: Minimize g = 5y1 + 3y2 subject to 3y1 + y2 > 45 y1 + y2 > 33 y1 + 2y2 > 55 y1 > 0, y2 > 0 If no solutions exist enter DNE in all answer boxes. y1 = y2 = g=

Simple & Compound Interest Solutions

Use the Fv formula for an ordinary annuity. Calculate the future value of $ 507 a month Payment: $507 APR: 8% Frequency: monthly Length of annuity: 40 years

In a recent study it was found that of 450 physicians polled 162 were women and of 530 nurses polled 445 were women. Test the claim using the traditional method of hypothesis testing that the proportion of nurses who are women is greater than the proportion of physicians who are women. Assume a significance level of 0.01 Let P1 = the proportion of nurses who are women Let P2 = the proportion of physicians who are women (a) What is the claim? P1_____P2 (b) What is the Null Hypothesis? P1______P2 (c) What is the Alternative Hypothesis? p1_____P2 (d) Which type of test will be used? ______ (e) What critical values are there? z= ______ (f) What is the value of the test statistic? z=_______ (g) What is the decision?_______ (h) What is the conclusion? ______

A sample of 1200 adults revealed that 115 of them are left-handed. Test the claim with a significance level of 0.05 that 15% of all adults are left-handed. (a) Which group below correctly identifies the Claim, the Null Hypothesis, and the Alternative Hypothesis? ______ Group 1: Claim: p>.15 Ho : p= .15 H1 : P≠.15 Group 2: Claim: p ≠.15 Ho : p= .15 H1 : P > .15 Group 3: Claim: p= .15 Ho : p= .15 H1 : p≠.15 (b) Which type of test will be used?_______ (c) What critical values are there? Z=________ (d) What is the value of the test statistic?_______ (e) What is the decision?_______ (f) What is the conclusion?_______

Math

A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a person can do (y). The results of the regression were: y= ax+b a = -1.214 b = 26.471 r^2 = -2.3722 r= -0.61 Use this to predict the number of situps a person who watches 12 hours of TV can do (to one decimal place)

Using the information below to create the initial simplex matrix. Assume all variables are nonnegative. Maximize f = 6x₁ +5x₂ + 7x₃ subject to 9x₁ + 7x₂ + 10x₃ ≤ 65 10x₁ + 3x₂ + 6x₃ ≤ 50 4x₁ + 10x₂ + 6x₃ ≤ 45 x₁ ≥0 x₂ ≥ 0 x₃ ≥ 0

Suppose a survey of USA Registered voters was taken to see their beliefs about extra-terrestrial life. In other words whether or not people believed that life existed on other planets in our universe. The results are tabulated below according to party affiliation: Test the claim using a significance level of 0.05, that belief in life existing on other planets is equally distributed among the different political parties. Party Believe in Life on Other Planets Democrat 20 Republican 45 Independent 34 Total = 99 Which group below represents the correct Claim. Null and Alternative Hypothesis? (A) Claim : p₁ = p₂ = p₃ = 1/3 H₀ : p₁ = p₂ = p₃ = 1/3 H₁ : p₁ ≠ p₂ ≠ p₃ ≠ 1/3 (B) Claim : p₁ = p₂ = p₃ = 1/3 H₀ : p₁ = p₂ = p₃ = 1/3 H₁ : p₁ = p₂ = p₃ = 1/3 (C) Claim : p₁ = p₂ = p₃ = 1/3 H₁ : p₁ = p₂ = p₃ = 1/3 H₁ : At least one of the probabilities is different from the others.

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