### 1⟩ Convert the age of a 32 year old to a z-score if the mean of the set of ages is 40 years and the standard deviation of age is 6 years.

1. -4.25

2. -1.33

3. 1.33

4. It is not possible to convert these figures into z-scores.

Answer: -1.33

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1. -4.25

2. -1.33

3. 1.33

4. It is not possible to convert these figures into z-scores.

Answer: -1.33

1. Subtracting the score from each mean and then dividing by the standard deviation. The result is called a z-score.

2. Subtracting the mean from each score and then dividing by the standard deviation the result is called a z-score.

3. Subtracting the score from the standard deviation and then dividing by mean of each score. The result is called a probability distribution.

4. Subtracting the mean from the standard deviation and then dividing by each score. The result is called a probability distribution.

Answer: Subtracting the mean from each score and then dividing by the standard deviation the result is called a z-score.

1. 0.0833

2. 0.12

3. 0.2

4. 0.0012

Answer: 0.0833

1. The probability of passing your exam without any revision.

2. The probability of suffering a sports injury while playing rugby.

3. The probability of falling down stairs.

4. The probability of contracting a disease whilst working in a hospital unit for contagious diseases.

Answer: The probability of falling down stairs.

1. More curved

2. More overlapping

3. Shorter

4. Longer

Answer: longer

1. We can be 95% confident that the population means are within the intervals indicated on the chart. As there is much overlap between the two sets of confidence intervals we cannot be sure whether there is a difference in the population means. It seems likely that there is no difference but we cannot draw any firm conclusions.

2. We can be 95% confident that the population means are within the intervals indicated on the chart. As there is much overlap between the two sets of confidence intervals this would suggest that there is a real difference in the population means.

3. It would appear that 95% of girls are more depressed than boys according to the confidence intervals.

4. We can be 5% confident that the population means are within the intervals indicated on the chart. As there is much overlap between the two sets of confidence intervals we can be sure that there is a real difference in the population means.

Answer: We can be 95% confident that the population means are within the intervals indicated on the chart. As there is much overlap between the two sets of confidence intervals we cannot be sure whether there is a difference in the population means. It seems likely that there is no difference but we cannot draw any firm conclusions.

* True

* False

Answer: TRUE

1. The standard error of the sampling distribution of the mean tells us how much our samples tend to vary around the population mean.

2. The standard deviation of the sampling distribution is called the sampling error.

3. The mean of several sample means gives the best estimate of the population means.

4. The larger the sampling size the larger the sampling error.

Answer: The mean of several sample means gives the best estimate of the population means.

1. Bimodal.

2. Positively skewed.

3. Normal.

4. Flat.

Answer: Normal.

1. Venn diagrams.

2. Histograms.

3. Error bar charts.

4. Regression lines.

Answer: Error bar charts.

1. Confidence

2. Point

3. Sample

4. Distribution

Answer: point

1. Sampling distributions.

2. Histograms.

3. z-scores.

4. None of the above.

Answer: sampling distributions.

1. 0.089

2. 0.069

3. 1.7

4. 0.589

Answer: 1.7

1. 4.904 to 15.096

2. 7.40 to 12.60

3. 3.85 to 26

4. There is not enough information available to work out the confidence interval.

Answer: 4.904 to 15.096

1. 2.80 to 10.80

2. 3.36 to 11.36

3. 4.90 to 11.10

4. 3.98 to 11.98

Answer: 4.90 to 11.10

1. To work out the 95% confidence interval you would have to multiply the standard error by 1.96.

2. To work out the 95% confidence interval you would have to multiply the square root of the sample size.

3. To work out the 95% confidence interval you would have to multiply the standard error by the standard deviation.

4. To work out the 95% confidence interval you would have to multiply the standard error by 95.

Answer: To work out the 95% confidence interval you would have to multiply the standard error by 1.96.

1. 2.65

2. 5.8

3. 2.05

4. 1.58

Answer: 1.58

1. 95

2. 1.96

3. Whatever the z-score is.

4. The square root of the sample size.

Answer: 1.96

1. Making conclusions and generalizations about population/s from our sample data.

2. The tabulation and organization of data in order to demonstrate their main characteristics.

3. Giving the best estimate of the population mean.

4. Both the second and third statement.

Answer: making conclusions and generalizations about population/s from our sample data.

1. To make such comparisons you need to convert the assessment results into z-scores. Thus the violent offender scored better in comparison to other offenders on his treatment course and you may perhaps want to refer the sex offender for more treatment.

2. 95.15% of violent offenders scored better in comparison to this offender on his treatment course. You may perhaps want to refer the sex offender for more treatment.

3. It is not possible tell from this data.

4. The sex offender scored better in comparison to other offenders on his treatment course and you may perhaps want to refer the violent offender for more treatment.

Answer: To make such comparisons you need to convert the assessment results into z-scores. Thus the violent offender scored better in comparison to other offenders on his treatment course and you may perhaps want to refer the sex offender for more treatment.