Math Answers

The weight of 1000 children average 50 kg and the standard deviation is 5kg.

26. What is the z-score corresponds to 40 kg?

A lawyer claims that the average years of settling criminal cases filed before courts is three and half years. To test the claim, a watchdog organization randomly selected 35 criminal cases and recorded the years the cases took before the courts have been endered verdicts. The sample mean was 4 years with a standard deviation of three and a half years. Do the data gathered by the said organization provide sufficient basis to accept the claim of the lawyer? Use 0.05 level of significance

Number of Inquiries (X) = 22 , 23 , 24 , 25 , 26 , 27 Probability P(X) = 0.08, 0.19, 0.36, 0.25, 0.07, 0.05 What is the mean? *

The slope of the tangent line to the curve y = f(x) at (x,y) is y¹ = 10x²+5x. If (1,16) is a point on the curve

The following data show the age (week) and height (cm) of soybean 

plant. 

Age (week) 1 2 3 4 5 6 7

Height (cm) 5 13 16 23 33 38 40

Find the least square regression line of height on age. 

Use Lagrange Multipliers to find the maximum and minimum values of f(x,y)=xy

 subject to the constraint 4x^2+8y^2=16

.

Write the proposition “I come to class whenever there is going to be a quiz” in the

form “if p then q” then state its converse, contrapositive, and inverse.

a. Conditional “if p then q”

b. Converse:

c. Contrapositive:

d. Inverse:

 Suppose that a department contains 10 men and 15 women. How many ways are there to form a committee with six members if it must have the same number of men and women?

The Average weight of 25 chocolate bars selected from a normally distributed population is 200 grams with a standard deviation of 10 grams. Find the point estimate and the confidence interval using 95%confidence level.

Steps: Solution:

3.Collect and present sample evidence.

a.Collect the sample information The sample information consists of

_____(6),_______(7)and______(8).

b.Find the point estimate. The point estimate for the population

mean is ____________(9)

The Average weight of 25 chocolate bars selected from a normally distributed population is 200 grams with a standard deviation of 10 grams. Find the point estimate and the confidence interval using 95%confidence level.

Steps: Solution:

2.Specify the confidence interval criteria.

b.Determine the test statistic to be used The test statistic is ___-test(4)

to calculate the interval.

c.State the level of confidence The level of confidence is _______(5)