Category: Mathematics Homework Help

Clearly explain the right choice.

At the point (0, 0) the graph of y = |x|….

a) has exactly one tangent line, y = 0.

b) has infinitely many tangent lines.

c) has two tangent lines, y = x and y = −x

d) has no tangent line.

Exercises 7.1-1, 7.1-4, 7.1-9, 7.2-1, 7.2-2, 7.2-5 in Probability and Statistical Inference (9th or
10th edition).

7.1-1. A random sample of size 16 from the normal distri-bution N(μ, 25) yielded x = 73.8. Find a 95% confidence interval for μ.

7.1-4. Let X equal the weight in grams of a “52-gram” snack pack of candies. Assume that the distribution of X is N(μ, 4). A random sample of n = 10 observations of X yielded the following data:

55.95 56.06

56.54 59.93

57.58 58.30

55.13 52.57

57.48 58.46

(a) Give a point estimate for μ. (b) Find the endpoints for a 95% confidence interval for μ.

(c) On the basis of these very limited data, what is the probability that an individual snack pack selected at random is filled with less than 52 grams of candy?

7.1-9. During the Friday night shift, n = 28 mints were selected at random from a production line and weighed. They had an average weight of x = 21.45 grams and s = 0.31 grams. Give the lower endpoint of an approxi-mate 90% one-sided confidence interval for μ, the mean weight of all the mints.

7.2-1. The length of life of brand X light bulbs is assumed to be N(μX

is assumed to be N(μY

, 784). The length of life of brand Y light bulbs , 627) and independent of X.Ifa

random sample of nX = 56 brand X light bulbs yielded = 57 brand Y light bulbs yielded a mean of y = 988.9

a mean of x = 937.4 hours and a random sample of size nY

hours, find a 90% confidence interval for μX − μY .

7.2-2. Let X1,X2,…,X5 be a random sample of SAT mathematics scores, assumed to be N(μX

,σ2), and let

Y1,Y2,…,Y8 be an independent random sample of SAT verbal scores, assumed to be N(μY

,σ2). If the follow-ing data are observed, find a 90% confidence interval for μX

− μY :

x1 = 644 x2 = 493 x3 = 532 x4 = 462 x5 = 565 y1 = 623 y2 = 472 y3 = 492 y4 = 661 y5 = 540 y6 = 502 y7 = 549 y8 = 518

7.2-5. A biologist who studies spiders was interested in comparing the lengths of female and male green lynx spiders. Assume that the length X of the male spider is approximately N(μX

,σ2

observations of X: 5.20

4.70 5.70 5.65 5.75

4.70 4.80 6.20 5.50 5.95

Following are nY spider is approximately N(μY,σ2). Following are nX Y

5.75 5.95 5.40 5.65 5.90

7.50 5.20 6.20 5.85

6.45 6.35 5.85 5.75

7.00 6.10 = 30 observations of Y:

8.25 9.95 5.90

9.80 10.80 6.60 6.10 9.00 9.50

7.05 7.55

8.45 8.10

7.55 9.10

9.30 8.75 7.00 7.80 8.00 6.30 8.35 8.30 7.05

8.30 9.60

8.70 8.00 7.50 7.95

The units of measurement for both sets of observations are millimeters. Find an approximate one-sided 95% con-fidence interval that is an upper bound for μX

− μY .

Hello. I am seeking guidance on assignment 3 inferential statistics analysis. I have attached the template for assignment 3 writeup along with an example, the dataset, and the first 2 completed assignments. Please let me know if you need anything else.

Thank you.

Statements such as “The population of the country is 3.8 million” are commonly used to describe large numbers.

Express this value in scientific notation and explain the relationship between the mathematical representation of the number and the words used to describe it.

Hello,

Chapter 7 Problem Post

Lesson 7.2

Question 3 of 13

Please show your work, providing an explanation for how the answer was found. The answer to this question is: 0.9265

In this scenario, we need to be able to show how we found the answer.

The mean points obtained in an aptitude examination is 143 points with a variance of 361.

What is the probability that the mean of the sample would differ from the population mean by less than 3.8 points if 80 exams are sampled? Round your answer to four decimal places.

Thank you

Detail the various programs and services available for parents your field experience site for this course. Based on the reading above, evaluate the sufficiency of these programs. Propose additional programs where parent involvement is not sufficient or defend why no additional programs are needed. (At least 3 pages, excluding title page and references. See Essay Rubric)Im going to attach a sample of what is expected .

I’m working on a algebra question and need an explanation and answer to help me learn.

As I explained in the class, please submit an example demonstrating use of Algebra in your future career. 

The recommended topics are: Logarithm, scientific notations, and lines.

I need an explanation for this Algebra question to help me study.

Show that if H and K are two subgroups of G and ‘a’ belongs to to G, then ‘Ha’ intersection ‘Ka’ is equals to  (H?K)a

I’m working on a applied mathematics question and need guidance to help me learn.

Please solve the following

Problem 41: find the intervals on which f1x2 is increasing, the intervals on which f1x2 is decreasing, and the local extrema.

f1x2 = 3×4 – 4×3 + 5

Problem 61 in the image