1. Two students in a physics laboratory each have a concave mirror with the same radius of curvature, 52.0 cm. Each student places an object in front of a mirror. The image in both mirrors is two and a half times the size of the object. However, when the students compare notes, they find that the object distances are not the same. What is the distance of the farther object in cm?

I got 27.027 but that is incorrect

2. An object placed 27.0 cm in front of a convex mirror produces an image that is one-half the size of the object. What is the focal length of the mirror in cm ?(include the proper algebraic sign to reflect the nature of the mirror)

I got 34.01 but that is incorrect

In a recent survey of high school students, it was found that the amount of time spent on reading books per week was normally distributed with a mean of 32 minutes. Assume the distribution of weekly reading time follows the normal distribution with a population standard deviation of 2 minutes. Suppose we select a sample of 20 high school students.

a. What is the standard error of the mean time? Answer

b. What percent of the sample means will be greater than 32.50 minutes?  Answer

c. What percent of the sample means will be greater than 31.50 minutes?  Answer

d.    What percent of the sample means will be greater than 31.50 but less than 32.50 minutes? Answer

This financial option is offered by a university for its degree course that lasts exactly three years.

The students will repay in instalments after the end of the course. The instalments are determined as follows:

• No payments are made until three years after the end of the course.

• Over the following 15 years, students pay the university RM325 at the beginning of each quarter.

• After 15 years of payments, the quarterly instalments are increased to RM375 at the beginning of each quarter.

• After a further 15 years of payments, the quarterly instalments are increased to RM450 at the beginning of each quarter for a further 15-year period after which there are no more payments.

The rate of interest is at 3% per annum effective.

Calculate the present value.

Assessment 2: Analysis of Business Policy (1000 words) (20%)

Students are required to select a range of policies from a particular business and evaluate the policies according to:

1. Content: Does policy content clearly articulate the rationale, goals, and implementation strategies for various policies?

2. Implementation: Have policies been implemented as intended? What barriers to, and facilitators of, implementation have been identified?

3. Impact: Have policies produced their intended outcomes and impact? How do you know (i.e., refer to specific evidence where possible)?

Students should also frame some recommendations for future policy development that may be required by the business.

The following data are the monthly salaries y and the grade point averages x for students who obtained a bachelor's degree in business administration. GPA Monthly Salary ($) 2.7 3,600 3.5 3,800 3.6 4,200 3.1 3,700 3.5 4,100 2.8 2,500 The estimated regression equation for these data is ŷ = -55.3 + 1,157.9x and MSE =209,013. a. Develop a point estimate of the starting salary for a student with a GPA of 3.0 (to 1 decimal). $ b. Develop a 95% confidence interval for the mean starting salary for all students with a 3.0 GPA (to 2 decimals). $ ( , ) c. Develop a 95% prediction interval for Ryan Dailey, a student with a GPA of 3.0 (to 2 decimals). $ ( , )

A school counselor has been working with a group of six-graders with special needs. She hypothesized that students like her group may have higher depression scores compared to the national average for six-graders. So she assessed her group of students with a depression scale for children and compared the scores to the national average through a t test. The t statistic turned out to be .20. Using a significance level of .01, what decision should she make regarding the null hypothesis?

A.Postpone any decisions until a more conclusive study could be conducted

B.There is not enough information given to make a decision

C.Reject it

D.Fail to reject it

The director of admissions at a large university advises parents of incoming students about the cost of textbooks during a typical semester. He selected a sample of 100 students and recorded their textbook expenses for the semester. He then calculated a sample mean of $675.60 and a sample standard deviation of $45.20. You may assume that the distribution of textbook expenses is approximately normally distributed.

(a) Is there sufficient evidence that the population mean textbook expense per semester is above $665? You should justify your answer with a hypothesis test at the 5% significance level.

(b) Construct a 95% confidence interval estimate of the population mean textbook expense per semester.

Please do not include any image.

A sample of students from an introductory psychology class were polled regarding the number of hours they spent in studying for the last exam. All students anonymously submitted the number of hours on a 3 by 5 card. There were 24 individuals in the one section of the course polled. There data are below: 4.5, 22, 7, 14.5, 9, 9, 3.5, 8, 11, 7.5, 18, 20, 7.5, 9, 10.5, 15, 19, 2.5, 5, 9, 8.5, 14, 20, 8.

A. based on the sample results, find the 95% confidence interval.

B. Interpret the result

C.Do you expect a 90% confidence interval to be wider or narrower and why.

2. A student collected data on the number of large pizzas consumed, y, while x students were watching a professional football game on TV. The data from five games are given in table below. Number of students, x 2 5 6 3 4 Number of large pizzas, y 1 6 10 3 5 Please show work for full credit.

(e) Interpret your interval from part (d). (f) Calculate r2 (follow steps on page 92).

(g) Interpret r2.

(h) Compute linear correlation coecient r (follow steps on page 93).

(i) Interpret r.

2. Some fourth-grade students are practicing reading and comparing decimal numbers. They created two different numbers using decimal squares. Stephanie reads the decimal squares below as “zero and forty-five hundredths” and “zero and one tenth.” She says: “Zero and forty-five hundredths is thirty five hundredths greater than one tenth.” Her partner, Ingrid says: “That’s not right. The square on the left is thirty-five squares bigger than the one on the right.”

a) What does Stephanie seem to understand? What does Ingrid seem to understand?

b) What could you talk about with these students to help improve their understanding?