Question

The difference between a standard score of -1.0 and a standard score of 1.0 is a) the standard score 1.0 is farther from the mean than -1.0 b) the standard score -1.0 is farther from the mean than 1.0 c) the standard score 1.0 is above the mean while -1.0 is below the mean. d) the standard score -1.0 is above the mean while 1.0 is below the mean. 16 17 If the test scores on an art history exam were normally distributed with a mean of 76 and standard deviation of 6, we would expect a) most students scored around 70. b) no one scored 100 on the exam. c) almost equal numbers of students scored a 70 and an 82. d) both a andc 18 The difference between a normal distribution and a standard normal distribution is a) standard normal distributions are more symmetric. b) normal distributions are based on fewer scores. c) standard normal distributions always have a mean of 0 and a standard deviation of 1. d) there is no difference. 19 The most common situation in statistical procedures is to assume that a) data are positively skewed. b) data are negatively skewed c) data are normally distributed d) it doesn't make any difference what the distribution of the data looks like. 20. For a normal distribution a) all of the data points lie within one standard deviation from the mean. b) about 2/3 of the distribution lies within one standard deviation from the mean. c) about 95% of the distribution lies within two standard deviations from the mean. d) both b andc In a normal distribution, about how much of the distribution lies within two (2) standard deviations of the mean? a) 33% of the distribution b) 50% of the distribution c) 66% of the distribution d) 95% of the distribution 21 22 The normal distribution is often referred to as the bell curve. a)True bFalse

Answer 1

16)

Standard score tells us that how much standard deviation away the given score is from mean

-1 is one standard deviation below the mean

1 is one standard deviation above the mean

Option C

17)

According to the emperical rule

If the data is normally distributed

Then 68% lies in between mean - s.d and mean + s.d

95% lies in between mean - 2*s.d and mean + 2*s.d

99.7% lies in between mean - 3*s.d and mean + 3*s.d

So 99.7 lies in between 76 - (6*3) and 76 + (6*3)

= 58 and 94

And 68% lies in between 76-6 and 76+6

That is in between 70 and 82

So c is the answer

18)

Option c

Standard normal distribution always has a mean 0 and s.d 1

19)

C)

Data are normally distributed

20)

According to the emperical rule

If the data is normally distributed

Then 68% lies in between mean - s.d and mean + s.d

95% lies in between mean - 2*s.d and mean + 2*s.d

99.7% lies in between mean - 3*s.d and mean + 3*s.d

So both b and c

21)

D) 95%

22)

Yes true

As normal distribution is bell shaped