Find b₀, b_1, and b₂  to fit the second degree parabola =b₀+b₁ x+b₂ x² for the following data:

We randomly chose 20 words from a randomly selected page in the text of interest and counted the number of letters in each word: 5, 5, 2, 11, 1, 5, 3, 8, 5, 4, 7, 2, 9, 4, 8, 10, 4, 5, 6, 6. Suppose the editor was hoping that the book would have a mean length of 6.5 letters. Does this sample indicate that the authors failed to meet this goal?

Conduct a hypothesis test showing all 4 elements of the test

Calculate and interpret a 95% confidence interval for the true mean word length based on this sample.

If you were the editor would you be satisfied with this information or would you want more data and why?

Miss Ima Crohns, age 45, is admitted to the ER with gastrointestinal discomfort. The physician wishes to do exploratory surgery and orders a Type and Screen for her surgery later that day. You receive her properly labeled specimen and proceed with the type and screen testing. Here are your findings:

1. What is your interpretation of the forward grouping?

2.What is your interpretation of the reverse grouping?

3. What type of discrepancy do you suspect?

4. Name two ways to resolve the discrepancy

1. A university has 10,000 students of which 45% are male and 55% are female. If a class of 30 students is chosen at random from the university population, find the mean and variance of the number of male students. Group of answer choices Mean = 16.5, Variance = 2.7 Mean = 13.5, Variance = 2.7 Mean = 16.5, Variance = 7.4 Mean = 13.5, Variance = 7.4

2. At a particular hospital, 40% of staff are nurse assistants. If 12 staff members are randomly selected, what is the probability that exactly 4 are nurse assistants?

3. Let X be a binomial distribution with n = 20 and p = .4 then the variance is

4.

Find the mean of the distribution shown below.

Ralph Co manufactures products on a job-order basis. Job 4 is an order for 100 units. It requires $3,000 direct materials, $1,000 direct labor, and $1,500 overhead applied based on 150% the direct labor hours. After inspection, 2 units required rework which required $80 additional direct labor costs and $60 of materials.

(1) If the rework is considered normal spoilage due to the nature of the job, determine the cost of Job 4. Prepare the journal entry for overhead.

(2) If the rework is considered normal spoilage, determine the cost of Job 4. Prepare the journal entry for overhead.

(3) If the rework is considered abnormal spoilage, determine the cost of Job 4. Prepare the journal entry for overhead control?

A binary star system consists of two stars, each of mass 2 * 10^30 ??. The initial positions of Star A and Star B are ?⃗?? = 〈−3, −4, 0〉 * 10^9 ? and ?⃗?? = 〈3, 4, 0〉 * 10^9 ? respectively. The magnitude of the gravitational force that one star exerts on another is about 2.7 * 10^30 N.

The initial velocity of Star B is ?⃗?? = 〈−6.5,4.9,0〉*10^4 ? ? . What is the approximate velocity of Star B after a time step of about 1 hour (∆? = 3.6*10^3 ?)?

What is the approximate new position of Star B after a time step of about 1 hour (∆? = 3.6*10^3 ?)?

in Java language, in most simple algorithm

1. Using a stack class, write a static method called parse that parses a String for balanced parentheses. we seek only to determine that the symbol ‘{‘ is balanced with ‘}’. parse accepts a single String parameter and returns an int. If parse returns a minus 1, then there are no errors, otherwise, parse should return the position within the String where an error occurred. For example

parse(“{3 + {4/2} }”)   would return -1

parse(“{ { 4*X}”) would return 6 since at position 6 we expected another “}”

parse(“{3+4}}”) would also return a 6

An organization collected preference ratings on various brands they consider.