Previous surveys have found that people tend to quit following their New Years’ Resolutions after 7 days on average. We asked a sample of 16 CSUSM students how long they kept their resolutions and the average length was 10 days with an SS of 240.

Assuming a normal distribution, test the hypothesis that CSUSM students hold their resolutions longer than other people with alpha = .01.

a. Specify the null and alternative hypotheses.

b. Report the df, the critical value, the SE, and the test statistic

c. Report your decision in a sentence

d. Summarize the results of your test in APA format

I'm not sure No Yes
Democrat 22 8 59
Independent 3 3 5
No affiliation 17 9 17
Other 3 0 0
Republican 1 7 2

Conduct a test of the hypothesis that the proportion of students in favor of a three-year SIF study in Seattle is greater for students that identify as democrats versus no political affiliation. Use “Democrats” minus “No affiliation”. Be sure to state your statistical hypothesis using symbols, report the p-value, report the decision of your test, and provide a conclusion in the context of the problem. Use a 5% significance level to make your decision.

The school population for a certain school is predicted to increase by 80 students per year for the next 14 years. If the current enrollment is 800 students, what will the enrollment be after 14 ​years?

Joe's annual income has been increasing each year by the same dollar amount. The first year his income was ​$24,700​, and the 12th year his income was $37,900. In which year was his income $ 43,900?

How many terms are there in each of the following sequences?

a. 39,40,41,42...,539

b. 1,2,2²,2³,...2⁶⁰

c. 100, 200,300,400,...3000

d. 1,2,4,8,16,32,...2048

PLEASE SHOW WORK

Today there are some 14 million only children in American families, representing about 20% of all kids, according to the U.S. Census Bureau. A recent survey of 252 Texas State University students shows 13 do not have siblings in their families.

a. Use the survey data to build the 95% confidence interval for population proportion of Texas State students who do not have siblings.

b. Interpret the interval in terms of the problem. Can you safely conclude that percent of bobcat families with one child is significantly smaller than percent of such families in the general population? Explain.

Mira A Certified Public Auditor licensed in Palestine is the partner in charge of Ooredoo audit. In order to save cost, she hired a group of students from Al-Najah University to help her conduct the audit. A month later Mira received the audited financial statements and the report from the students. She signed it and send it to the board of directors of Ooredoo.
What standards were violated and why?

Is there a violation of the elements of audit quality control, briefly discuss?

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Abdul-Rahim Taysir

In a random sample of 100 college students, scores on a test were normally distributed with a mean of 80 points and standard deviation of 12 points. Use this scenario to answer the following questions:

A. In this scenario, what is the point estimate? [2 points]

B. Construct a 95% confidence interval to estimate the mean score in the population of all college students. Remember to show all work. Round your final answer to 3 decimal places. [4 points]

C. Interpret the confidence interval you constructed in part B by completing the phrase "I am 95% confident that..." [2 points]

Twenty years​ ago, 56​% of parents of children in high school felt it was a serious problem that high school students were not being taught enough math and science. A recent survey found that 295 of 750 parents of children in high school felt it was a serious problem that high school students were not being taught enough math and science. Do parents feel differently today than they did twenty years​ ago? Use the α=0.01 level of significance.

What are the null and alternative​ hypotheses?

H0​: _______versus H1​: _______

​(Type integers or decimals. Do not​ round.)

The Core Plus Mathematics Project (CPMP), an innovative program approach to teaching Mathematics that engages students in group investigation and mathematical modelling, was investigated. 320 students were randomly selected to follow the CPMP method and 273 were randomly selected to follow a traditional method. From a standardized test, scores are as follows:

CPMP --> mean: 57.4 , standard deviation: 32.1

Traditional --> mean: 53.9 , standard deviation: 28.5   

Create a 95% confidence interval for the difference in mean scores of the standardized test between the CPMP method and the Traditional method.

Test the appropriate hypotheses at the 5% level of significance.

The average American sees 15 movies per year. Amy believes that UCI students are different from the average American regarding movies. She gets a sample of four UCI students and asks them how many movies they see per year. They answer 2, 14, 2, 10. Do a t-test to see if Amy’s belief is true. Please calculate the t-statistic for this data. State the critical value, and come to a conclusion about Amy’s belief. Let α = .05. Make it a two-tailed test. Assume that it is okay to do a t-test.