A presidential candidate's aide estimates that, among all college students, the proportion p who intend to vote in the upcoming election is at most 75 % . If 217 out of a random sample of 270 college students expressed an intent to vote, can the aide's estimate be rejected at the 0.05 level of significance? Perform a one-tailed test. Then fill in the table below.

Null Hypothesis

Alternative Hypothesis

type of test statistic

Value of the test statistic

the critical value at the .05 level of significance

Can we reject the aide's estimate that the proportion of college students who intend to vote is at most 75%?

What are the major areas of adjustment required for students who are entering college?
How can these adjustments be made easier?

What advice would you have for first-year students to make their adjustment easier?

What are the most positive aspects of attending college?

Least positive?

What does it mean when college students' thinking progresses from rigidity to flexibility to freely chosen commitments? Do you have personal examples of how this has, or has not, occurred in your life?

This is all apart of one question, in paragraph form write how you feel.

A major university claimed that the mean number of credit hours that their entire population of undergraduate students took each semester was 13.1. A counselor questioned whether this was true. She took a random sample of 250 undergraduate students, and the mean of that sample of students showed that they completed 12.8 credit hours. The population standard deviation is 1.6. Conduct a full hypothesis test using the p-value approach. Let α = .05.

Determine if the mean credit hours for the sample is significantly different than that of the population.

What formula seems to match what we have been given and what we need to find?

The Mall Street Journal is considering offering a new service which will send news articles to readers by email. Their market research indicates that there are two types of potential users, impecunious students and high-level executives. Let x be the number of articles that a user requests per year. The executives have an inverse demand function P E( x ) = 100 − x and the students have an inverse demand function P U( x ) = 80 − x . (Prices are measured in cents.) The Journal has a zero marginal cost of sending articles via email.

Suppose that the journal cannot observe which type any given user is. The journal continues to o§er two packages. Suppose that it offers one package which allows up to 80 articles (intended for students) and one package that allows up to 100 articles (intended for professors). What is the highest price that students will be willing to pay for the 80-article package? What is the highest price that the journal can charge for the 100-article package if it offers the 80-article packages at the highest price the students are willing to pay? In this situation, what is the consumer surplus obtained by a professor?

Assume that the number of executives in the population equals the number of students. Let (Xe,Te) be the profit maximizing "executive package", where Xe is the number of articles the executive can access at a Total charge of Te, and (Xu,Tu) be the profit maximizing "student package", where Xu is the number of articles the student can access at a total charge of Tu. Is Xe=100? Is Xu=80? Explain. Derive the values of Xe,Te,Xu,Tu.

1. Each of the following situations requires a significance test about a population mean μ. State the appropriate null hypothesis, H0, and alternative hypothesis, Ha, in each case. [Use words and/or symbols to state these]

• Larry’s car averages 32 miles per gallon on the highway. He switches to a new motor oil that is advertised as increasing gas mileage. After driving 3000 highway miles with the new oil, he wants to determine if his gas mileage actually has increased.
• A university gives credit in a French language course to students who pass a placement test. The language department wants to know if students who get credit in this way differ in their understanding of spoken French from students who actually take the French course. Some faculty think the students who test out of the course are better, but others argue that they are weaker in oral comprehension. Experience has shown that the mean score of students in the course on a standard listening test is 24. The language department gives the same listening test to a sample of 40 students who passed the placement test to see if their performance is different.
• Experiments on learning in animals sometimes measure how long it takes a mouse to find its way through a maze. The mean time is 18 seconds for one particular maze. A student thinks that a loud noise will cause the mice to complete the maze faster. She measures how long each of 10 mice takes with a noise as stimulus.

please answer.

1. Each of the following situations requires a significance test about a population mean μ. State the appropriate null hypothesis, H0, and alternative hypothesis, Ha, in each case. [Use words and/or symbols to state these]

• Larry’s car averages 32 miles per gallon on the highway. He switches to a new motor oil that is advertised as increasing gas mileage. After driving 3000 highway miles with the new oil, he wants to determine if his gas mileage actually has increased.

• A university gives credit in a French language course to students who pass a placement test. The language department wants to know if students who get credit in this way differ in their understanding of spoken French from students who actually take the French course. Some faculty think the students who test out of the course are better, but others argue that they are weaker in oral comprehension. Experience has shown that the mean score of students in the course on a standard listening test is 24. The language department gives the same listening test to a sample of 40 students who passed the placement test to see if their performance is different.

• Experiments on learning in animals sometimes measure how long it takes a mouse to find its way through a maze. The mean time is 18 seconds for one particular maze. A student thinks that a loud noise will cause the mice to complete the maze faster. She measures how long each of 10 mice takes with a noise as stimulus.

A randomly selected sample of 14 students who stayed up all night to study for an exam received an average grade of 68% with a standard deviation of 8%. Another randomly selected sample of 12 students who wrote the same exam after a good night’s sleep received an average grade of 75% with a standard deviation of 7%. At a 5% significance level, does the sample provide enough statistical evidence to support a claim that students who stay awake all night perform worse on average? Conduct a 2-sample pooled variance t-test (i.e. t-test with equal variances) to evaluate the sample data. A. State the null and alternative hypotheses – clearly indicate which is the null and which is the alternative. Use the symbol μA to represent the population mean grade for students who stayed awake and μS for students who slept in your hypotheses. B. Calculate the degrees of freedom. Show all your work – no marks will be awarded without supporting calculations. C. Look up the t critical value for this test and write out the decision rule using it. D. Calculate the sample t statistic for this test. Show all your work – no marks will be awarded without supporting calculations. E. In a full sentence answer: state whether or not you have rejected the null hypothesis AND respond to the original question (does the sample provide enough statistical evidence to support a claim that students who stay awake all night perform worse on average?)

A study by Staub, 1970, was concerned with the effects of instructions to young children and their subsequent attempts to help another child (apparently) in distress. Twenty-four first-grade students were randomly assigned to one of three groups. The first group was labeled as indirect responsibility (IR). Students in the IR group were informed that another child was alone in an adjoining room and had been warned not to climb up on a chair. The second group was labeled direct responsibility one (DR1). Students in the DR1 group were told the same story as in the IR condition, but was also told that they were left in charge and to take care of anything that happened. The students were given a simple task, and the researcher left the room. The students then heard a loud crash in the adjoining room followed by a minute of sobbing and crying. Students in the third group, direct responsibility two (DR2), had the same instructions as the DR1 group, but the sounds of distress also included calls for help. Ratings from 1 (no help) to 5 (went to the adjoining room) were given to each student by an observer sitting behind a one-way mirror. The ratings are given below.

1. Perform a one-way ANOVA in SPSS with α = .05 and answer the following questions.

PART A: The ANOVA is based on three assumptions. Describe the three assumptions in detail.

PART B: State the null hypothesis in words.

In a psychology class, 59 students have a mean score of 98 on a test. Then 16 more students take the test and their mean score is 62.8.

What is the mean score of all of these students together? Round to one decimal place.

mean of the scores of all the students =

57 randomly selected students were asked how many siblings were in their family. Let X represent the number of pairs of siblings in the student's family. The results are as follows:

Round all your answers to 4 decimal places where possible.

The mean is:

The median is:

The sample standard deviation is:

The first quartile is:

The third quartile is:

What percent of the respondents have at least 1 siblings? %

34% of all respondents have fewer than how many siblings?

62 randomly selected students were asked the number of pairs of shoes they have. Let X represent the number of pairs of shoes. The results are as follows:

Round all your answers to 4 decimal places where possible.

The mean is:

The median is:

The sample standard deviation is:

The first quartile is:

The third quartile is:

What percent of the respondents have at least 9 pairs of Shoes? %

0% of all respondents have fewer than how many pairs of Shoes?

Question 3

In a study conducted on 335 primary school students in a small district in Malaysia, students at primary levels 4-6 were asked which goal in terms of good grades, athletic ability or popularity (being popular in school) was most important to them. A two-way table (Table 3.1) separating the students by their educational levels and goals is shown below:

Table 3.1

a. To investigate possible differences among the students' goals by educational levels, a researcher suggested that it is useful to compute the column percentages. You are required to compute the column percentages and explain the meaning of these percentages. Do the results suggest that there is much of a variation in goals across the three educational levels?                                                                                         

b. The dataset from the same study now divides the students' responses into "Urban," "Suburban," and "Rural" school areas as shown in Table 3.2.You are required to conduct a Chi-Squared test to investigate whether there is an association between school area and the students' goals of getting good grades, athletic ability or popularity as most important to them?

Table 3.2