STAT1034 - Ch3 and Ch4 StudyTest

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Item: Homework 3 Score: 28/28 100% (Calculated) scaled to 100/100 100% Class Statistics Due: Friday, May 27, 2016 11:59 PM Due (late): Saturday, May 28, 2016 12:14 AM Submitt ed: Thursday, May 26, 2016 5:43 PM Answer s: 1. Vitamin D is needed for the body to use calcium. An experiment is designed to see the effects of calcium and vitamin D supplements on the bones of first-year college students. The outcome measure is the total body mineral content (TBBMC), a measure of bone health. Three doses of calcium will be used: 0, 200, and 400 mg/day. The doses of vitamin D will be 0, 50, and 100 international units (IU) per day. The calcium and vitamin D will be given in a single tablet. All tablets including those with no calcium and no vitamin D will look identical. Subjects for the study will be 90 men and 90 women. Identify the correct factor(s) and the number of treatments for this experiment. The factors are calcium dose and vitamin D dose. There are nine treatments. The factors are calcium dose and vitamin D dose. There are six treatments. The factor is first-year college students. There are two treatments. The factor is total body mineral content (TBBMC). There are nine treatments. The factors are calcium dose, and vitamin D dose. There are nine treatments (each calcium/vitamin D combination). Score: 1 of 1 2. Step 1: Table B is a table of random digits. Which of the following statements are true of a table of random digits, and which are false? Explain your answers. True or False: There are exactly four 0s in each row of 40 digits. True

False Step 2: Table B is a table of random digits. Which of the following statements are true of a table of random digits, and which are false? Explain your answers. True or False: Each pair of digits has chance of being 00. True False Step 3: Table B is a table of random digits. Which of the following statements are true of a table of random digits, and which are false? Explain your answers. True or False: The digits 0000 can never appear as a group, because this pattern is not random. True False Score: 3 of 3 3. Consider the scenario: The population consists of all individuals selected in a simple random sample. Identify the correct statement about the given scenario. The scenario describes the population and sample clearly for a simple random sample. The scenario describes a census. The scenario describes a stratified sample. This given scenario confuses the ideas of population and sample. If the entire population is found in our sample, we have a census rather than a sample.

Score: 1 of 1 4. In using Table B repeatedly to choose samples or do randomization for experiments, you should not always begin at the same place, such as line 101. Why not? If we start regularly at the same line of Table B the results are not purely random. Correct Starting at line 101 is equivalent to starting at any other line of Table B, as far as randomization is concerned. Therefore, we are free to start at any line we want even if it is the same line regularly. Because line 101 is already determined, then using it regularly is totally not random. The chance of a specific digit to appear is reduced and therefore randomization is impaired. Score: 1 of 1 5. Step 1: See the given figure. The 44 blocks in this tract are divided into three “block groups.’’ Group 1 contains 6 blocks numbered 1000 to 1005; Group 2 (outlined in the given figure) contains 12 blocks numbered 2000 to 2011; Group 3 contains 26 blocks numbered 3000 to 3025. Choose a stratified sample of two blocks from the 6 blocks in Group 1, two from the 12 blocks in Group 2, and three from the 26 blocks in Group 3.

The simplest method of selecting the stratified sample is: Starting at any line of Table B find the first two numbers between 0 and 5, followed by the next two different numbers between 00-11, and finally the next three different numbers between 00-25. Assign labels 01-44 to all blocks and select a sample of size 6. Assigning the labels 01-025 to each of the blocks in each group and then choosing the three samples from the three groups as required. Use the original labeling and choose the 3 samples from the 3 groups as required. Step 2:

See the given figure. The 44 blocks in this tract are divided into three “block groups.’’ Group 1 contains 6 blocks numbered 1000 to 1005; Group 2 (outlined in the given figure) contains 12 blocks numbered 2000 to 2011; Group 3 contains 26 blocks numbered 3000 to 3025. Choose a stratified sample of two blocks from the 6 blocks in Group 1, two from the 12 blocks in Group 2, and three from the 26 blocks in Group 3. Choose such a sample by using Table B at line 108 (Give the blocks by the original labeling). Fill in the blanks: The sample is: Group1: block 1) _______ 2) ________. Group 2: blocks 3) _______ , 4) _______ .

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