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The paper “Effect of long-term blood pressure control on salt sensitivity” [Journal of




Medicine (1997) 28:147–156] describes a study evaluating salt sensitivity (SENS) after a period of




antihypertensive treatment. Ten hypertensive patients (diastolic blood pressure between 90 and




115 mmHg) were studied after at least 18 months on antihypertensive treatment. SENS readings,




which were obtained before and after the patients were placed on an antihypertensive treatment,




are given here:




Patient 1 2 3 4 5 6 7 8 9 10




Before treatment 22.86 7.74 15.49 9.97 1.44 9.39 11.40 1.86 6.71 6.42




After treatment 6.11 4.02 8.04 3.29 0.77 6.99 10.19 2.09 11.40 10.70




a. Is there significant evidence that the mean SENS value decreased after the patient




received antihypertensive treatment?




b. Estimate the size of the change in the mean SENS value.




c. Do the conditions required for using the t procedures appear to be valid for these




data? Justify your answer

Supposed three coins are tossed. Let X be the random variable representing the number of heads occur. Construct a table that shows the sample space and values of the random variable X


You collected data on incident of burglaries in 112 suburbs drawn from a number of major cities around the country. When plotting these on a normal (bell curve ) you find that of these 108 fall with in +2z and -2z of the mid point (mean) but 3 fall above 2z and one falls below 2z OUTLINE what your conclusion would be regarding the statistics drawn , with specific reference to the four suburbs that fall outside of 2z

1. Why is it important to identify first and develop your topic in conducting a research?


2. Why is it important to do a preliminary search for information before you start to conduct a social research?


3. What is the important of Proofreading in conducting a social research?

The principal of tala senior highschool claims that the students in his school have above average intellegence. A random sample of 30 students IQ scores have a mean score of 113. The mean population IQ is 100 with a standard deviation of 15. Is there an evidence to support his claim?


A normally distributed data has a mean of 200 and a standard deviation of 20.What are the two extreme scores, outside of which only 5% of the distribution are expected to fall?

A deck (52) of cards (clubs, diamonds, hearts and spades) is shuffled once. Estimate the probability of drawing a king and queen. Estimate the probability of drawing a 4 (four). Estimate the probability of drawing a card that is not a heart.

A survey of 1000 men ages 20 to 30 found that their heights were normally distributed, with a mean of 65 inches and a standard deviation of 2.5 inches. How many men have a height that is between 60 inches and 70 inches?


B. Sketch the normal curve and indicate the location of the rejection region.

  1. z > 1.645
  2. z < -2.33
  3. z < -2.58 or z > 2.58

ACTIVITY 5. INTRODUCTION TO HYPOTHESIS TESTING

A. Illustrate the rejection region of the following by shading the appropriate region

  • The rejection region of a two-tailed test
  • The rejection region of a left-tailed test
  • The rejection region of a right-tailed test



B. Determine the type of error being illustrated in each item.

  1. Michael knows that it is wrong to cheat but he was caught cheating in his Math exam in order to pass.
  2. Sheena knows that it is wrong not to return excess change given by the cashier and still did not return the excess money.
  3. Maxine knows that in order to pass she needs to study hard but she did not review for the Third Quarter Examination
  4. Ana witnessed a physical abuse and she knows that it should be reported but she did not report it to the authorities
  5. Kim knows that it is wrong to smoke cigarette but he keeps on smoking.
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