The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level.

Step 1 of 2:

Suppose a sample of 1132 tenth graders is drawn. Of the students sampled, 816 read above the eighth grade level. Using the data, estimate the proportion of tenth graders reading at or below the eighth grade level. Enter your answer as a fraction or a decimal number rounded to three decimal places.

Step 2 of 2:

Suppose a sample of 1132 tenth graders is drawn. Of the students sampled, 816 read above the eighth grade level. Using the data, construct the 98% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level. Round your answers to three decimal places.

Suppose that the national average for the math portion of the College Board's SAT is 535. The College Board periodically rescales the test scores such that the standard deviation is approximately 75. Answer the following questions using a bell-shaped distribution and the empirical rule for the math test scores. If required, round your answers to two decimal places.

(a) What percentage of students have an SAT math score greater than 610? ______%

(b) What percentage of students have an SAT math score greater than 685?______ %

(c) What percentage of students have an SAT math score between 460 and 535?______ %

(d) What is the z-score for a student with an SAT math score of 630?

(e) What is the z-score for a student with an SAT math score of 395?

Electric cars

For this assignment, you will create an approximately five-minute presentation consisting of several visually appealing, professional looking slides, accompanied by audiovisual presentation (using VoiceThread or a similar resource). You will submit the presentation to the discussion area for feedback and grading.

Here is the process:

All students must upload their presentation by Wednesday to the week 6 discussion area.

Students will create audiovisual comments of approximately one to two minutes each for two students in their group. These will be submitted as replies in the discussion area.

The presentation should include the following components:

A title slide

An introduction slide, outlining the purpose and flow of the presentation

Historical Timeline and Predecessor Assessment slide

Analysis of Impact slide(s)

Ethical Considerations slide

Conclusion

In-text citations and a references slide

For the following assume the results of an exam has a mean of 75 and a standard deviation of 5.

1. Calculate the percentage of students that score above 75.

2. Calculate the percentage of students that score below 65.

3. Calculate the percentage of students that score above 80.

4. The genius people in the class get a score in the top 1%. Calculate the score of the genius people.

5. Calculate the scores that you need to be between to be in the middle 80%.

6. Calculate the value of μ-2σ and μ+2σ. If a number is above μ+2σ it is considered an unusual value. If a number is below μ-2σ it is also considered an unusual value. These unusual values are also known as statistically significant. Determine if 83, 85, 87, 55, 64, 70, and 74 are statistically significant

A student wants to prove that a GMAT prep company's claim that attending its 10-session prep course raises students' scores on the GMAT by an average of at least 50 points is false. In order to test the claim, they take eight students who have previously taken the GMAT and have them complete the 10 sessions. After completion, the students retake the GMAT and their scores are recorded. Test the theory at a 1% level of significance, using the paired difference test. You may assume that the differences in scores are normally distributed.

Suppose that the national average for the math portion of the College Board's SAT is 516. The College Board periodically rescales the test scores such that the standard deviation is approximately 100. Answer the following questions using a bell-shaped distribution and the empirical rule for the math test scores.

If required, round your answers to two decimal places.

Listed below are body mass indices​ (BMI) of a sample of college students. The BMI of each student was measured in September and April of the freshman year. Use a 0.01 significance level to test the claim that the mean change in BMI for all students is equal to 0. Does BMI appear to change during freshman​ year? Assume that the paired sample data is a simple random sample and that the differences have a distribution that is approximately normal. April BMI 17.44 22.82 22.88 18.53 20.76 September BMI 19.70 22.40 24.24 18.37 20.27 Since the test statistic ▼ does not fall falls in the critical​ region, ▼ fail to reject reject the null hypothesis. There ▼ is not is sufficient evidence to warrant rejection of the claim that for the population of​ students, the mean change in BMI from September to April is equal to 0.

A study compared the drug use of 288 randomly selected high school seniors exposed to a drug education program (DARE) and 335 randomly selected high school seniors who were not exposed to such a program. Data for marijuana use are given in the accompanying table.

At the 5% significance level, is there convincing evidence that the proportion using marijuana is lower for students exposed to the DARE program?

Round these answers to two places after the decimal:
Test-statistic =   (to two places after the decimal)

P-value =   (to four places after the decimal)
There  --- is is not sufficient evidence to conclude that the proportion of students using marijuana is lower for students exposed to the DARE program.