Let Z = N(0,1) be the standard normal variable

Calculate the area to the left of z = 2. 25

Calculate the probability

Calcualte the proabililityand

Calculate the area between z = -1.25 and z = 1. 35

Find the z - score for which the area to the left is .975

Find the z - score for which the area to the right is.05

Find the 40^thpercentile

Find the interquartile range

2) quantileis defined as the z - score for which the area toits right isa

Findz_.05andz_.025

General Normal Variables

Let X = N (50, 10).....which means normal with mean 50 and standard deviation 10

Draw the Normal Curve

Calculate the area between 30 and 60

c)

d)

e) Find the three quartiles for the population

f) Find the 80^thpercentile (namely, find the score X for which the area to the left is .8)

The following 4 questions (Q97 to Q100) are either "True" or "False" Q97: The single-most critical component of deciding whether you are to conduct a t-test versus a z-test for hypothesis testing is whether there is a ' um'.(unable to type symbol. u= population mean)

Predicting the characteristics of an entire group, after having measured a small group, is the major goal of inferential statistics.

: Degrees of freedom for a single sample z-test is/are 'n-1'.

Degrees of freedom for a single sample t-test is/are 'n-1'.

g) Find the X score which has 5% area to its right

IQ scores are normally distributed with mean 100 and standard deviation 16.

Calculate the probability that a randomly chosen individual has an IQ score between 90 and 125

Calculate the proportion of individuals whose scores are 2 standard deviations away from the mean

Distribution of the Sample Mean

Keep taking random samples of size n = 20 out of a normal population with mean 50 and standard deviation 10.

Identify the sampling distribution of the sample mean and draw the sample mean curve together with the population normal curve. Identify the following:

Shape:

Mean:

Standard Deviation:

Draw the sample mean curve in the same picture as the population curve:

Calculate the probability that a random sample of size n = 20 out ofthis population has mean which is less than 45

IQ scores are normally distributed with mean 100 and standard deviation 16.

Calculate the probability that a randomly chosen individual has IQ more than 120

Calculate the probability that arandomly chosen group of 25 people has average IQ more than 120.

Grades on a Statistics Final exam are normally distributed with mean 70 and standard deviation 15. Calculate the probability that a random sample of size 25 will produce an average less than 80

State the Central Limit Theorem.

Is it possible to identify the sampling distribution of the sample mean if:

Sample size is n = 25 and the population is normal

Sample size is n = 40 and the population is not normal

Sample size is n = 25 and population is not normal

rticle 1

Doering, L., et al.(2007).Utility of observer-rated and self-report instruments for detecting major depression in women after cardiac surgery: A pilot study.

ARTICLE LISTED HERE: https://www.coursehero.com/r/4MQJFJCy/

What was the purpose of the study?

2.) Why is this an important clinical issue?

Why not just keep using this tool if we already know it works?

What are the advantages and disadvantages of the self-report and observer instruments used to detect depression?

What test is the "gold standard" (the one that will be used to establish that depression exists and test if the other measures are able to detect it)?

What type of study design was utilized?

Qualitative

Quantitative

What sampling technique was used?

What concerns do you have about the sampling technique?

What is the sample size?

With the small sample size, what type of error would be most concerning and what would be the result?

Type one error

Type two error

The researchers report that the structured diagnostic interview using DISH (the 'gold standard' for the study) has an inter-rater reliability of 93%. What does this mean about the instrument?

The nurse researchers report that the Beck Depression Inventory (BDI) has items rates on a scale of 0 to 3 with zero being no signs or symptoms and 3 being the most severe. Is this a quantitative or qualitative measure?

Qualitative

Qualitive

The nurse researchers report that the Beck Depression Inventory (BDI) has items rates on a scale of 0 to 3 with zero being no signs or symptoms and 3 being the most severe.Is each item categorical or continuous?

Categorical

Continuous

The nurse researchers report that the Beck Depression Inventory (BDI) has items rates on a scale of 0 to 3 with zero being no signs or symptoms and 3 being the most severe.Is the total score a continuous or categorical measure?

Categorical

Continuous

What level of measurement are the individual items in the BDI?

Nominal

Ordinal

Interval

Ratio

What would be the most appropriate measure of central tendency for the individual items in the BDI?

Mean

Median

Mode

What level of measurement is the total score on the BDI?

Nominal

Ordinal

Interval

Ratio

What options do researchers have for calculating a measure of central tendency for the BDI total score?

Mean

Median

Mode

All of the above

The nurse researchers report that concurrent validity (which is another name for convergent validity) is established for the BDI. What does this tell you?

The researchers go on to say that the Cronbach alpha coefficient is 0.92 in this study. What does this mean?

The study also talks about a modification of the BDI which is the Beck Depression Inventory Short Form (BDI-SF) which was developed because there were concerns that the original BDI which included physical signs and symptoms of depression might over diagnose depression if used with populations who are medically ill. (This is a perfect example of being careful not to over-generalize results. The appropriate total score in a medically healthy population indicating depression may not be appropriate for a population which has medical illnesses contributing additional physical symptoms.)The modified BDI-SF was designed for detecting depression in medically ill patients and when using a cutoff of a score of ten, the BDI-SF has a sensitivity of 100% and a negative predictive value of 100% for hospitalized patients.What does this mean?