Midterm - Hypothesis Testing

Question 1

mu for student’s t distribution equation for averages

Answer 1

1.1

Question 2

mu for student’s t distrubtion equation for single measurement

Answer 2

1.2

Question 3

difference between t test mu for single and average measurements

Answer 3

for averages, divide s by sqrt(n), for single don’t need to do this step

Question 4

What is the procedure for a Q test?

Answer 4

arrange the data in increasing order: x1, x2, x3, _ xn, the value in question will either be x1 or xn

Question 5

How to calculate Q?

Answer 5

Q=distance to nearest neighbor/full range of values

Question 6

how to conclude Q test:

Answer 6

if Qcalc > Qtable, then reject value

Question 7

What is Q test for?

Answer 7

Decide if you can reject outlier

Question 8

What is N on Q table?

Answer 8

number of data points

Question 9

what value do you calculate to compare an average of several results to an ‘expected’ value?

Answer 9

tcalc, mu

Question 10

what is the equation for tcalc?

Answer 10

1.3

Question 11

what is the equation for mu when you’re calculating tcalc?

Answer 11

1.4

Question 12

how to conclude t test to compare an average of several results to an ‘expected’ value?

Answer 12

if tcalc > t table, then xbar is significantly different than mu

Question 13

What is comparing two averages, xbar1 and xbar 2 test used for?

Answer 13

are the differences between the averages of two sets of measurements (N1 and N2) significant or do they reflect samples of the same distribution?

Question 14

What do you calculate for comparing two averages xbar1 and xbar2 test?

Answer 14

tcalc and sp^2

Question 15

what is the equation for tcalc for comparing two averages xbar1 and xbar2?

Answer 15

GIVEN

Question 16

What is the equation for sp for comparing two averages xbar1 and xbar2?

Answer 16

GIVEN, BUT don’t forget it gives sp^2 so you need to square root answer

Question 17

How to conclude test for comparing two averages, xbar1 and xbar2?

Answer 17

if tcalc > t table, then the two averages are significantly different

Question 18

what are the DOF for comparing two averages, xbar1 and xbar2?

Answer 18

DOF=N1+N2-2

Question 19

What does the Fishers F test test for?

Answer 19

comparing two sample variances, s1^2 and s2^2

Question 20

What is the Fishcers F test asking?

Answer 20

are the differences between sample variances from two sets of measurements (N1 and N2) significant or do they reflect samples of the same distribution? (same population variances)?

Question 21

How to calculate Fcalc:

Answer 21

Sl^2/Ss^2 where Sl^2 and Ss^2 are the larger and smaller variances so F>1

Question 22

How to conclude F test:

Answer 22

if Fcalc > Ftable, the Sl^2 is significantly greater than Ss^2

Question 23

What are the DOF for the F test:

Answer 23

for numerator, Nl-1, for denominator Ns-1

Question 24

What is mu when sigma is known for single measurements? (normal z test)

Answer 24

3.1

Question 25

What is mu when sigma is known for averages? (normal z test)

Answer 25

3.2

Question 26

How do we test if we need an intercept Question?

Answer 26

Doest the value fall within confidence interval containig zero if munot=0?

Question 27

range of expected results for deciding if we need an intercept:

Answer 27

b=munot+/-tsb

Question 28

what are the DOF when deciding if we need an intercept?

Answer 28

N-2

Question 29

how to conclude if we need an intercept test:

Answer 29

if |b|>t*sb, we need an intercept