Based on the limited amount of available student parking spaces on the GSU campus, students are being encouraged to ride their bikes (when appropriate).

The administration conducted a survey to determine the proportion of students who ride a bike to campus. Of the 123 students surveyed 5 rides a bike to campus.

Which of the following is a reason the administration should not calculate a confidence interval to estimate the proportion of all students who ride a bike to campus? Check all that apply.

The sample needs to be random but we don’t know if it is.

The actual count of bike riders is too small.

The actual count of those who do not ride a bike to campus is too small.

n*^p is not greater than 10.

n*(1−^p)is not greater than 10.

1.) What is the probability that a randomly selected female student had a high school GPA lower than 3.75? Solve this problem using the Standard Normal Table (Z table). Show all work and provide the probability as a decimal rounded to four decimal places.

2.) ​​​​​​​If a female student had a high school GPA of 4.00, what percentile would this be for all female students? Solve this problem using the Standard Normal Table (Z table). Show all work and provide the probability as a decimal rounded to four decimal places.​​​​​​​

Problem 2. Test Scores Distribution.

In a certain exam is taken by 200 students, the average score was 60 out of maximum of 100 points. It was also found that 32 students scored more than 75 points. Assuming that the exam scores were well represented by a Gaussian probability density function,

(2a) Determine the mean of the distribution.

(2b) Determine the standard deviation of the distribution.

(2c) Determine the number of students who scored more than 90 points.

(2d) Determine the number of students who scored less than 45 points.

(2e) Write down the expression for the Gaussian distribution that represents the PDF of the exam scores. Make sure that the expression contains all numerical fields filled in with the actual values.

In a recent survey of county high school students, 100 males and 100 females, 66 of the male students and 47 of the female students sampled admitted that they consumed alcohol on a regular basis. Find a 90% confidence interval for the difference between the proportion of male and female students that consume alcohol on a regular basis. Can you draw any conclusions from the confidence interval?

For the test of significance questions, clearly indicate each of the formal steps in the test of significance.

Step 1: State the null and alternative hypothesis.
Step 2: Calculate the test statistic.
Step 3: Find the p-value.
Step 4: State your conclusion. (Do not just say “Reject H0” or “Do not reject H0”, state the conclusion in the context of the problem.)

Parents of potential WKU students often express an interest in making sure their child can graduate in 4 years. To do so, students must complete an average of 15 credit hours per semester. A random sample of 250 students at WKU finds that these students take a mean of 14.7 credit hours per semester with a standard deviation of 1.9 credit hours. Assume the sample standard deviation is equal to the population standard deviation. Estimate the mean credit hours taken by a student each semester using a 95% confidence interval. Round to the nearest thousandth. (Note that the options give the answer in the format of sample mean +/- the margin of error).

Interview a certified special education teacher at the educational level (PK- 12) of your program, about the following: 1.What are some similarities and differences among students with and without exceptionalities? 2.What are some characteristics of various exceptionalities and the educational implications for students with exceptionalities? 3.What is the effect an exceptionality can have on a student's academic and social development, attitudes, interests, and values? 4.How do you collaborate with general education teachers? 5.In what ways do you address the unique learning needs of the individuals with exceptionalities in the classroom, including for those students with culturally and linguistically diverse backgrounds? 6.How do you protect the privacy of students with exceptionalities? What are some dilemmas you have experienced with this?

In a study entitled How Undergraduate Students Use Credit Cards, it was reported that undergraduate students have a mean credit card balance of $3173 (Sallie Mae, April 2009). This figure was an all-time high. Assume that a current study is being conducted to determine if it can be concluded that the mean credit card balance for undergraduate students has continued to increase compared to the April 2009 report. Based on previous studies, use a population standard deviation σ= $1000.

State the null and alternative hypotheses.

What are the test statistics for a sample of 180 undergraduate students with a sample mean credit card balance of $3325?

What is the p-value?

At α =.05, what is your conclusion?

At α =.01, what is your conclusion?

In an August 2012 Gallup survey of 1,012 randomly selected U.S. adults (age 18 and over), 53% said that they were dissatisfied with the quality of education students receive in kindergarten through grade 12. They also report that the "margin of sampling error is plus or minus 4%."

1. What is the best estimate of the proportion of U.S. adults who are dissatisfied with the quality of education students receive in kindergarten through grade 12?
2. Find an interval estimate for the parameter of interest. Interpret it in terms of dissatisfaction in the quality of education students receive. Use two decimal places in your answer.
3. Based on the interval give three (3) plausible proportions for the true proportion of U.S. adults who are dissatisfied with the quality of education students receive in kindergarten through grade 12.

The scores of students on the SAT college entrance examinations at a certain high school had a normal distribution with mean μ=553.4μ=553.4 and standard deviation σ=29.3σ=29.3.

(a)What is the probability that a single student randomly chosen from all those taking the test scores 560 or higher?

For parts (b) through (d), consider a simple random sample (SRS) of 35 students who took the test.

(b)What are the mean and standard deviation of the sample mean score x¯x¯, of 35 students?
The mean of the sampling distribution for x¯x¯ is:

(c) What z-score corresponds to the mean score x¯x¯ of 560?

(d)What is the probability that the mean score x¯x¯ of these students is 560 or higher?