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1. Identify the most likely type of causal relationship between each of the following pairs of variables. Assume that a strong positive correlation has been observed where the first variable listed is the independent variable.
a. alcohol consumption, incidence of automobile accidents
b. scores on chemistry exams, scores on calculus exams
c. increase in pay, job performance
d. population of rabbits, consumer price index
e. number of scholarships received, number of job offers upon graduation
f. coffee consumption, insomnia
A university registrar would like to find out how many high school students in the area are planning to attend university. In the survey, 1802 students said that they intended to go to university, 1163 said they were not sure whether or not they would go to university, and 826 said they were not going to attend university. Create a circle graph for the starter so that the surveyors can present this information to the registrar
Getting acquainted with the essential terms and concepts on testing the difference between two dependent sample means, it is now time for you to explain thoroughly your answers to the following questions.
Explain the role of the following statistical terms in testing the difference of two dependent samples.
a. Hypotheses (Null and Alternative Hypotheses)
b. Test of significance (One Tailed Test and Two Tailed Test)
c. Level of significance
d. Critical region
e. Critical value
f. Test value
a. State the hypotheses and identify the claim.
b. Find the critical value(s)
c. Find the test value
d. Make the decision
e. Summarize the result
The manager of the cosmetics section of a large department store wants to determine whether newspaper advertising really does affect sales. For her experiment, she randomly selects 15 items currently in stock and proceeds to establish a baseline. The 15 items are priced at their usual competitive values, and the quantity of each item sold for a 1-week period is recorded. Then, without changing their price, she places a large ad in the newspaper, advertising the 15 items. Again, she records the quantity sold for a 1-week period. The results follow.
Item : 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
No. of Items Sold Before Ad: 25 18 3 42 16 20 23 32 60 40 27 7 13 23 16
No. of Items Sold After Ad : 32 24 7 40 19 25 23 35 60 43 28 11 12 32 28
Using ∝= 0.05, two-tailed test. Analyze the data then interpret the result.
Use the traditional method in testing the hypothesis in the problems below:
a. State the hypotheses and identify the claim.
b. Find the critical value(s)
c. Find the test value
d. Make the decision
e. Summarize the result
A nurse was hired by a governmental ecology agency to investigate the impact of a lead smelter on the level of lead in the blood of children living near the smelter. Ten children were chosen at random from those living near the smelter. A comparison group of seven children was randomly selected from those living in an area relatively free from possible lead pollution. Blood samples were taken from the children and lead levels determined. The following are the results (scores are in micrograms of lead per 100 milliliters of blood):
Children living near smelter: 18 16 21 14 17 19 22 24 15 18
Children living in unpolluted area: 9 13 8 15 17 12 11 - - -
Analyze the result using two-tailed test with ∝= 0.10.
Based on the concept on testing the difference between two means using z-test and the learning exercises that you have done, write your arguments or lessons learned below.
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A medicine for the relief of asthma can be purchased from 5 different manufacturers in liquid, tablet, or capsule form, all of which come in regular and extra strength. How many different ways can a doctor prescribe the drug for a patient suffering from asthma?
1. There is an experiment of flipping a fair coin 100 times. Let H denote the number of heads from this experiment. (4 points)
a. Calculate the probabilities of H= 40, 50.
b. Draw a frequency graph of H in (a).
2. Suppose a fair coin is tossed until a head comes up for the first time. (6 points.)
a. Calculate the probability that the experiment ends on the first trial.
b. Calculate the probability that the experiment on the third trial.
c. Calculate the probability that the experiment ends on an even-numbered toss.
The World Series, the annual championship series of Major League Baseball (MLB) in the US and Canada, is a seven-game series. The team that wins first four games is declared the champion. We assume that (i) each game is independent and that (ii) two teams are evenly matched.
a. Calculate that the series last 4 games.
b. Calculate that the series last 5 games.
c. Calculate that the series last 6 games.
d. Calculate that the series last 7 games.
performance of 40 teachers in the Mathematics department showed a mean of 95 with a standard deviation of 7.3.
