1. Based on the percentages that were observed statewide, if the percent of students in each category at the high school did not differ from the statewide percentages, what would be the expected values for each classification?

2. What are the observed percentages for each category at the local high school? (Note: SPSS does not include this information in the output. It must be manually calculated by dividing the number in each category by the total number of students and multiplying by 100)

3. Write an appropriate null hypothesis for this analysis.

4. What is the value of the chi-square statistic?

5 What are the reported degrees of freedom?

6. What is the reported level of significance?

7. Based on the results of the one sample chi-square test, is there a statistically significant different between the distribution of students at the local high school and the statewide distribution?

8. Report and interpret your findings as they might appear in an article.

A paper described a survey of 495 undergraduate students at a state university in the southwestern region of the United States. Each student in the sample was classified according to class standing (freshman, sophomore, junior, or senior) and body art category (body piercings only, tattoos only, both tattoos and body piercings, no body art).

Use the data in the accompanying table to determine if there is evidence that there is an association between class standing and response to the body art question. Assume that it is reasonable to regard the sample of students as representative of the students at this university. Use

α = 0.01.

Calculate the test statistic. (Round your answer to two decimal places.)
χ² = __

What is the P-value for the test? (Round your answer to four decimal places.)
P-value = __

Consider the approximately normal population of heights of male college students with mean μ = 64 inches and standard deviation of σ = 4.6 inches. A random sample of 10 heights is obtained.

(a) Describe the distribution of x, height of male college students.

skewed leftapproximately normal    skewed rightchi-square

(b) Find the proportion of male college students whose height is greater than 74 inches. (Round your answer to four decimal places.)


(c) Describe the distribution of x, the mean of samples of size 10.

skewed rightapproximately normal    chi-squareskewed left

(d) Find the mean of the x distribution. (Round your answer to the nearest whole number.)


(ii) Find the standard error of the x distribution. (Round your answer to two decimal places.)


(e) Find P(x > 68). (Round your answer to four decimal places.)


(f) Find P(x < 63). (Round your answer to four decimal places.)

The next two questions (5 and 6) refer to the following:

1. Which of the following statements is/are true?
   0. 1. The distribution of scores for Section A01 is skewed to the right.
      2. About 50 students in Section A02 received a score higher than 71.
      3. If we constructed outlier boxplots, we would see that there is at least one outlier in Section A03.
   1. II only
   2. I and II only
   3. I and III only
   4. II and III only
   5. I, II and III

2. The mean score for students in all three sections combined is 60.23. What is the mean score for the students in Section A01?

            (A) 61.9                    (B) 62.3                     (C) 63.4                     (D) 64.7                  (E) 65.2

3.         A particular Intersession stats prof is noted for 2 things: the number of pages of notes his students have to write down each night and the number of pieces of chalk he destroys each night. To see if there is any relationship between these, a record is kept of the number of pages of notes his students write during 6 different lectures in June and the number of pieces of chalk the prof destroys on these nights. The following data were obtained:

                        Night                           # Note Pages               # Chalks Destroyed

                        Monday                                   8                                  5

                        Tuesday                                  4                                  1

Wednesday                             12                                7

                        Monday                                   6                                  4

                        Tuesday                                  9                                  8

Wednesday                             7                                  2

a) Is there a significant positive correlation between # of note pages and # of pieces of chalk destroyed (α # .05)? [10 points]

b) How many pieces of chalk would the prof be predicted to destroy on a night that his students write down 10 pages of notes, and what are the 95% bounds to the error of this prediction? [10 points]

A simple random sample of 100 adults is obtained, and each person’s red blood cell count (in cells per microliter) is measured. The sample mean is 5.22 and the sample standard deviation is 0.53. Use a 0.01 significance level to test the claim that the sample is from a population with a mean less than 5.3, the calculated value of t-test statistic is (Given that H0: µ = 5.3, Ha:µ < 5.3)

choose

-15.09

15.09

-1.509

1.509

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Three students took a statistics test before and after coaching, but coaching did not effect the scores of students i.e mean change in scores is zero. Their scores are as follows:

The value of t-test statistic for matched pairs is

choose

8.66

0.866

-0.866

-8.66

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The basic procedure of hypothesis testing is to make an initial assumption about the population parameter, collect evidence and decide whether to "reject" or "not reject" our initial assumption.

choose

True

False

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1. A researcher is interested in comparing a new self-paced method of teaching statistics with the traditional method of conventional classroom instruction. On a standardized test of knowledge of statistics, the mean score for the population of students receiving conventional classroom instruction is μ = 60. At the beginning of the semester, she administers a standardized test of knowledge of statistics to a random sample of 30 students in the self-paced group and finds the group mean is

M = 55 and s = 14. Assume you wish to determine whether the performance for the self-paced group differs significantly from the performance of those students enrolled in courses offering conventional classroom instruction.

a. State the null hypothesis.

b. Make a diagram of the regions of acceptance and rejection associated with the null hypothesis and label the horizontal axis in terms of values of the t-statistic. Use alpha = .05, two tailed test.

c. Calculate the value of the t-statistic associated with the sample mean of M = 55.

d. Make your decision to reject and retain and describe what this means.

1. What Management principles have (female) Prime-Ministers of Singapore, Germany, Taiwan, New Zealand, Iceland, Finland, Norway, and Denmark applied to control and limit spread of CORONA-19 in their societies? ,,,
2. A President of a California State University campus banned any criticism to human rights in Palestine ,,, Professors and students have been banned from exposing Zionist crimes in Palestine. Professors and students went to court to complain about illegality of such a decision. Their lawyer is soliciting your advise to show that President of University has failed as a leader –administratively ,,,
3. MoH (Ministry of Health) hired you as a consultant for Health Management in Ministry. Based on your managerial experience, what would be your recommendations to health system in State of Kuwait?  
4. Students may not start their video/web-cam during Zoom meetings ,,, (T/F) Justify ,,,
5. Compare between structure types ~ advantages/disadvantages in post-pandemic era.  ,,,
6. As a decision maker, which industries should be sustained post-pandemic? ,,, Justify ,,,

A report suggests that business majors spend the least amount of time on course work than other college students (The New York Times, November 17, 2011), A provost of a university conducts a survey of 50 business and 50 nonbusiness students. Students are asked if they study hard, defined as spending at least 20 hours per week on course work. The response shows "yes" if they worked hard or "no" otherwise; a portion of the data is shown in the following table.

1. At the 5% level of significance, determine if the percentage of business majors who study hard is less than 20%?
2. At the 5% level of significance, determine if the percentage of nonbusiness majors who study hard is more than 20%.

Please show work**

Almost all medical schools in the United States require students to take the Medical College Admission Test (MCAT). To estimate the mean score ?μ of those who took the MCAT on your campus, you will obtain the scores of an SRS of students. The scores follow a Normal distribution, and from published information you know that the standard deviation is 10.8. Suppose that, unknown to you, the mean score of those taking the MCAT on your campus is 495.

In answering the questions, use z‑scores rounded to two decimal places.

(a) If you choose one student at random, what is the probability that the student's score is between 490 and 500? (Enter your answer rounded to four decimal places.)

(b) You sample 36 students. What is the standard deviation of the sampling distribution of their average score x¯ ? (Enter your answer rounded to two decimal places.)

(c) What is the probability that the mean score of your sample is between 490 and 500? (Enter your answer rounded to four decimal places.)