5. It is of interest to Starbucks on campus, the average spending of students in one week, this with the aim of creating a promotion for their students. It is said that they spend 163 pesos on average and it is known from experience that the standard deviation in spending is 52 pesos. a. What is the probability of a student on campus spending at least 180 pesos?

6. The following are the partial ratings of the group: 79, 87, 90, 74, 83, 72, 80, 56, 84, 83, 92, 70, 65, 69, 87, 88, 74, 72, 82, 91, 63. a. Draw up a basic frequency distribution table (1 pts.) b with the grades. Make a histogram

Two random samples are taken, one from among UVA students and the other from among UNC students. Both groups are asked if academics are their top priority. A summary of the sample sizes and proportions of each group answering yes'' are given below:

UVA (Pop. 1):n1=80, p̂ 1=0.72

UNC (Pop. 2):n2=81, p̂ 2=0.64

Find a 97.7% confidence interval for the difference p1−p2 of the population proportions.

Confidence interval = ?????

-any chance you can also explain how this is done on a calculator? If not possible, I understand. Please help me solve it.

The Kalamazoo Michigan Symphony once advertised a "Mozart for Minors" program with this statement: "Question: Which students scored 51 points higher in verbal skills and 30 points higher in math? Answer: Students who had experience in music."

a) Is the following statement true or false: Does this mean that studying music causes a student to score higher in verbal skills and math? Please explain your answer. Your answer needs to include what possible causation is possible.

b) Draw a diagram that explains your answer. (Possible diagrams are causation, common response, or confounding). Be sure to label all variables in the diagram.

1. How are efficiency and dispersion related?

2. What are the assumptions to justify the use of hypothesis testing?

3. If the null hypothesis is rejected, what can we conclude? If we know that 60% of ASU students like the parking and 50% of the community as a whole likes the parking, and the difference between the sample and population are tested, with the null rejected, what do we conclude? Is the difference significant? Not significant? Are ASU students significantly more likely or less likely to like the parking? Are they equally likely?

7. In order to reject the null when using a t distribution with small samples, what is needed? Consider size of the test statistic. Why?

Due to distance learning and less homework load in Peach Elementary School, parents are complaining that the average screen time is more than 3 hours per day for students in Grade 1 to Grade 3. The principal randomly selected 36 students from Grade 1 - Grade 3 and statistical summary is shown below. min 3 avg 5 max 8 std 2.5

Write the hypothesis in symbols or words Check the two conditions for CLT. Calculate the test statistics and the associated degrees of freedom Use the p-value or critical value approach to make your conclusion at 5% significance level.

From a survey of 120 students attending a university, it was found that 48 were living off campus, 57 were undergraduates, and 25 were undergraduates living off campus. One student is selected at random.
Let event A be “The student is an undergraduate”

Let event B be “The student is living off campus”.

a. Sketch the Venn diagram and show number of students for all parts of the diagram

b. Find the probability that selected person is an undergraduate student or he/she lives off campus

c. Find the probability that selected student is an undergraduate living on campus

d. Selected person is a graduate student living on campus.

What statistical test should be used for the following study? An university counselor believes that hypnosis is more effective than the standard treatment given to students who have high test anxiety. To test his belief, he randomly divides 22 students with high test anxiety into two groups. One of the groups receives the hypnosis treatment and the other group receives the standard treatment. When the treatments are concluded, each student is given a test anxiety questionnaire.

a. single sample t-test   b. independent samples t-test   c. dependent/related samples t-test   d. z-test

The mean balance that college students owe on their credit card is $1996 with a standard deviation of $350. If all possible random samples of size 169 are taken from this population, determine the following:

a) name of sampling distribution

b) mean and standard error of sampling distribution of the mean (use the correct name and symbol for each)

c) percent of sample means for a sample of 169 college students that is greater than $2000

d) probability that sample means for samples of size 169 fall between $1950 and $2050

e) Below which sample mean can we expect to find the lowest 25% of all the sample means?

1.) (Be Sure to fill out full 6 steps number them)

Q: A college admissions officer for the school’s online undergraduate program wants to estimate the mean age of its graduating students. The administrator took a random sample of 40 from which the mean was 24 years and the standard deviation was 1.7 years.

If the mean age of online undergraduate students was 23 years of age, what is the probability that the sample of 40 would have produced a mean age of 24 or higher? Be sure to set up the two competing hypotheses and provide a statistical conclusion statement at a 5% level of significance for your results.

The grades on a statistics test are normally distributed with a mean of 62 and Q1=52. If the instructor wishes to assign B's or higher to the top 30% of the students in the class, what grade is required to get a B or higher?

Please round your answer to two decimal places.

The distribution of scores on a recent test closely followed a Normal Distribution with a mean of 22 points and a standard deviation of 2 points. For this question, DO NOT apply the standard deviation rule.

(a) What proportion of the students scored at least 26 points on this test, rounded to five decimal places?

(b) What is the 23 percentile of the distribution of test scores, rounded to three decimal places?