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?

Question
(a) Consider a random sample of the following data: 254, 261, 250, 258, 253, 257.
Calculate the unbiased estimator of the population variance.
(1 mark)

(b) Suppose the GPA of all students enrolled in a particular course can be modelled by a
certain distribution with a mean of 3.4 and variance 0.3. Compute the probability that the
mean GPA of a random sample of 40 students selected from this course will be:

(i) lower than 3.2

(ii) between 3.3 and 3.6

(c) Suppose you throw a die 600 times. Apply a suitable technique to compute the
approximate probability of obtaining between 90 and 110 fours.

8. (15 pts) A person’s Intelligence Quotient (IQ) is determined via a series of test questions. The IQ score itself is designed to be approximately normally distributed with a mean value of 100 and a standard deviation of 15. In a sample of 20 students with behavioral problems, a school administrator observes an average IQ of 102.7. The administrator believes that students with behavioral issues have a different cognition from their peers, and thus a different average IQ. State the appropriate hypotheses; conduct a hypothesis test using α = 0.05 utilizing the classical approach, confidence interval approach, or p-value approach; state the decision regarding the hypotheses; and make a conclusion.

A researcher hypothesizes college students will be more extroverted than the population mean for extroversion and collects n = 177 students. The researcher performs a one-tail z test with alpha set to 0.05 and finds a sample z score is 2.44, showing evidence for the researcher's predictions. What is the probability (as % or proportion) the researcher made a type 1 error?

b. A researcher hypothesizes that coffee drinkers and non coffee drinkers will have different incidences of clinical anxiety. The researcher finds that those who drink more coffee are more likely to be anxious. Is this research a one tail or two tail test?

Show all work

Fast Pizza hires college students who drive their own cars to deliver pizzas to customers. Fast Pizza is concerned that the company may be liable for damages caused by company employees while they are driving their cars on company business.

Part 1: Discuss the loss exposures to both Fast Pizza’s business operation and to the students who are driving their own cars to deliver pizzas.

Part 2: Identify a commercial auto liability coverage that Fast Pizza could purchase to address their exposures.

Part 3: Discuss how the coverage purchased in Part 2 could impact the student drivers.  Use a loss scenario to illustrate.

Determine whether the following should be classified as simple random, systematic, convenience, stratified, or cluster sampling.

   ?    SimpleRandom    Systematic    Convenience    Stratified    Cluster      1. Every student in two different 8:00 classes on Tech's campus is selected to complete a survey

   ?    SimpleRandom    Systematic    Convenience    Stratified    Cluster      2. 50 people from each parish in Louisiana are asked political questions

   ?    SimpleRandom    Systematic    Convenience    Stratified    Cluster      3. Students are assigned numbers and a random-number generator selects students to participate in a survey

   ?    SimpleRandom    Systematic    Convenience    Stratified    Cluster      4. A researcher goes to the library to collect some published data

how to interpret confidence intervals and how NOT to interpret them.

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

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?

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