You would like to study the height of students at your university. Suppose the average for all university students is 67 inches with a SD of 18 inches, and that you take a sample of 19 students from your university.

a) What is the probability that the sample has a mean of 61 or less inches?
probability =  

b) What is the probability that the sample has a mean between 68 and 71 inches?
probability =  

Note: Do NOT input probability responses as percentages; e.g., do NOT input 0.9194 as 91.94.

Research Methods

Consider the possibility that we wanted to survey this class on the legalization of marijuana as being representative of the college student population. Have students identify possible representative problems such as the class being criminal justice students and their opinions may be different than the college population as a whole. Additionally, we want to survey random college students as being representative of the community at large in regard to raising the legal drinking age to 24. What biases or representative problems would exist?

How might teachers identify students in the classroom who have low self-efficacy for specific tasks? Identify a common area of low self-efficacy (task or skill) among students in your area of teaching (i.e., reading skills, math concepts, perspective taking, making associations, speaking skills, technological skills). Using “Guidelines for Encouraging Self-Efficacy,” discuss ways teachers might help students raise their levels of self-efficacy for the task or skill you identified.

please answer both of the following:

1.

Exhibit 10-3
A statistics teacher wants to see if there is any difference in the abilities of students enrolled in statistics today and those enrolled five years ago. Final examination scores from a random sample of students enrolled today and from a random sample of students enrolled five years ago were selected. You are given the following information.

Refer to Exhibit 10-3. The standard error of  is _____.

A: 12.9

B: 9.3

C: 4

D: 2

2.

Exhibit 10-3
A statistics teacher wants to see if there is any difference in the abilities of students enrolled in statistics today and those enrolled five years ago. Final examination scores from a random sample of students enrolled today and from a random sample of students enrolled five years ago were selected. You are given the following information.

Refer to Exhibit 10-3. The 95% confidence interval for the difference between the two population means is _____.

A: -9.92 to -2.08

B: -3.92 to 3.92

C: -13.84 to 1.84

D: -24.228 to 12.23

A survey of 500 high school students was taken to determine their favorite chocolate candy. Of the 500 students surveyed, 159 like Snickers, 151 like Twix, 176 like Reese's Peanut Butter Cups, 90 like Snickers and Twix, 99 like Twix and Reese's Peanut Butter Cups, 108 like Snickers and Reese's Peanut Butter Cups, and 56 like all three kinds of chocolate candy. How many students like no more than one kind of these chocolate candies?

a) 255

b) 315

c) 189

d) 60

e) 185

f) None of the above.

1b.

A survey of 500 high school students was taken to determine their favorite chocolate candy. Of the 500 students surveyed, 129 like Snickers, 118 like Twix, 145 like Reese's Peanut Butter Cups, 22 like Snickers and Twix, 54 like Twix and Reese's Peanut Butter Cups, 55 like Snickers and Reese's Peanut Butter Cups, and 8 like all three kinds of chocolate candy. How many students like Snickers, but not Twix or Reese's Peanut Butter Cups?

a) 129

b) 69

c) 61

d) 60

e) 121

f) None of the above.

A clinical psychologist wished to compare three methods for reducing hostility levels in university students using a certain psychological test (HLT). High scores on this test were taken to indicate great hostility, and 11 students who got high and nearly equal scores were used in the experiment. Five were selected at random from among the 11 students and treated by method A, three were taken at random from the remaining six students and treated by method B, and the other three students were treated by method C. All treatments continued throughout a semester, when the HLT test was given again. The results are shown in the table.

Let μ_A and μ_B, respectively, denote the mean scores at the end of the semester for the populations of extremely hostile students who were treated throughout that semester by method A and method B.

(a) Find a 95% confidence interval for μ_A. (Round your answers to two decimal places.)

(b) Find a 95% confidence interval for μ_B. (Round your answers to two decimal places.)

(c) Find a 95% confidence interval for (μ_A − μ_B). (Round your answers to two decimal places.)

Suppose you want to test whether the average number of students who show up for face to face classes at SVSU is less than 10. You collect the following data:

What is your t-statistic?  

Let's say you decide on α=.05. What is your t-critical value?

What do you conclude based on the previous two answers?

a.Do not reject the null. There is sufficient evidence the number of students is less than 10.

b.Reject the null. There is sufficient evidence that the number of students is greater than or equal to 10.

c.Reject the null. There is sufficient evidence the number of students is less than 10.

d.Do not reject the null. There is insufficient evidence the number of students is less than 10.

Two teaching methods and their effects on science test scores are being reviewed. A random sample of 8 students, taught in traditional lab sessions, had a mean test score of 76.8 with a standard deviation of 4.2 . A random sample of 16 students, taught using interactive simulation software, had a mean test score of 87.8 with a standard deviation of 5.8 . Do these results support the claim that the mean science test score is lower for students taught in traditional lab sessions than it is for students taught using interactive simulation software? Let μ 1 be the mean test score for the students taught in traditional lab sessions and μ 2 be the mean test score for students taught using interactive simulation software. Use a significance level of α=0.05 α = 0.05 for the test. Assume that the population variances are equal and that the two populations are normally distributed.

Step 1 of 4: State the null and alternative hypotheses for the test.

Step 2 of 4: Compute the value of the t test statistic. Round your answer to three decimal places.

Step 3 of 4: Determine the decision rule for rejecting the null hypothesis H0. Round your answer to three decimal places.

Step 4 of 4: State the test's conclusion.

The weights (in ounces) of 18 cookies are shown. 0.71 1.35 0.85 1.62 0.75 0.87 1.35 1.53 0.99 0.71 1.19 1.47 0.47 1.22 0.87 1.47 1.72 0.75 Find the IQR of the given sample data. Show the exact value, no rounding. Answer:

2. The amount spent on textbooks for the fall term was recorded for a sample of five hundred university students. The mean expenditure was calculated to be $500 and the median expenditure was calculated to be $425. Which of the following statements is accurate? Select one: The most frequently occurring textbook cost in the sample was $425 50% of the students sampled had textbook costs that were no less than $425 50% of the students sampled had textbook costs that were less than $500 50% of the students sampled had textbook costs equal to $425 50% of the students sampled had textbook costs equal to $500

3. Suppose the results of a math test given to a group of 30 students can be summarized as follows: the mean of the test scores is 78, and the median of the test scores is 71. What type of distribution most likely describes the shape of the test scores? Select one: symmetric skewed to the right unable to determine with the information given skewed to the left Expert Answer