An instructor from the school of business samples the students in his introduction to business class to learn about the amount of dollars students spend per semester on textbooks. The distribution that follows indicates the results of his sample. SHOW WORK.

Textbook Costs per Student per Semester (in dollars)

65, 147, 171, 142, 153, 187, 195, 106, 127, 178, 178, 205, 175, 178, 133, 186, 55

1. a) Construct a Box-and-Whisker Plot
2. b) Calculate the interquartile range
3. c) Determine if there are any outliers including potential outliers within the data set. State their value(s).

Data are shown for a study of pulse rates of students sitting versus standing. At α = 0.05, test the claim that the standing pulse rate is higher than the sitting pulse rate for students.

Ten sampled students of 18-21 years of age received special training. They are given an IQ test that is N (100, 102) in the general population. Let μ be the mean IQ of these students who received special training. The observed IQ scores: 121, 98, 95, 94,102, 106, 112, 120, 108, 109. Test if the special training improves the IQ score using significance level α = 0.05.

a.What is the rejection region?

b.Calculate the p-value and state your conclusion.

c.What if the variance is unknown?

Use R studio to solve this problem. What codes you have to put in ?

The grade of statistics follows a normal distribution with a mean of 85 and a
standard deviation of 10. The instructor adopted a new teaching method this year,
and would like to investigate whether there is an improvement in students’
average grade. Suppose the average grade from a sample of 36 students is 88, can
we conclude that there is an improvement at the 5% significance level?
A. Specify the null and alternative hypotheses.
B. Determine the rejection region.
C. Calculate the test statistics.
D. Make a decision regarding the null hypothesis.
E. Report the conclusion.
F. Describe what a Type I Error would be in this scenario, and what the
consequence might be for the teacher.

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.

The estimated regression equation for these data is  = -414.9 + 1,270.3x and MSE =425,236

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).

Shannon is a graduate student studying health economics. One of her projects was to study the effects of tobacco product taxation on the frequency of smoking among college students. She hypothesized that the taxation would decrease the frequency of smoking. Using a survey analysis and a known frequency in a recently reported publication, she conducted a hypothesis test to determine if students were less likely to smoke if the tax rate went up by $0.25 per cigarette pack. She used a significance level of 2%.

Determine the critical value or values for a one-mean z-test at the 2% significance level if the hypothesis test is left-tailed (Ha:μ<μ0).

z0.160.994z0.081.405z0.041.751z0.022.054z0.012.326

**MATLAB

8)The structure for students' quiz data for a class is organized as below

write a script to print the students' data by ascending order of ID number. The index vector method must be used and the MATLAB functions for sorting CANNOT be used.

9)In a physics measurement, the density of the water is measured at different depth. Here are the depth vector and density vector.

depth=[100,200,300,400,500]

density=[6.1,6.9,8.0,8.8,10.2]

USE polyfit to fit the data with 1,2, and 3 degree curves and use subplot to over plot your fitting curves on your original data.

Randomly selected statistics students participated in an experiment to test their ability to determine when 60 seconds has passed. Forty-six students yield a sample mean=57.43 seconds with a sample standard deviation=9.04 seconds. Use α=0.05 as a significance level to test the claim that the population mean equals to 60 seconds.

Группа выборов ответов

p-value=0.06, evidence support claim

p-value=0.6, evidence not support claim

p-value=0.06, evidence not support claim

p-value=0.06, evidence support claim

p-value=0.06, evidence not support claim

A movie monopolist sells to college students and other adults, as in Worked-Out Problem 18.2 (page 635). The demand function for students is

          QdS=1,000−100P,

and the demand function for other adults is

          QdA=4,500−100P.

Marginal cost is $2 per ticket.

Instructions: Round your answers to 2 decimal places.

a. What prices will the monopolist set when she can discriminate? How will discrimination affect the monopolist's profit?     

    P_student = $ per ticket.

    P_adult = $ per ticket.

    Profit = $.

b. What prices will the monopolist set when she cannot discriminate? How will it affect her profit?

    P_everyone = $ per ticket.

    Profit = $.

1) In a sample of 10 randomly selected individuals, The average hours a person spent smoking cigarettes in a month is 3.6 hours with a standard deviation of 1.2. Determine a 90% confidence interval for the population mean.

2)You recently read an article about a new youth program. This article claimed that at least 45% of high school students encounter some level of bullying on a daily basis. You are shocked at these findings and decide to test this yourself. You sample 200 high school students and find 87 admit to being bullied. Perform a statistical test at the 0.05 level of significance to determine if the article’s claim is true.