NY-S.IC.5

Algebra IIMaking Inferences and Justifying Conclusions60 target questions

Use data from a randomized experiment to compare two treatments; use simulations to decide if differences between parameters are significant.

Sample Practice Questions (3)

A randomized experiment comparing two treatments resulted in an observed difference in means of

5.2

. A simulation was run

1000

times, and the resulting differences in means were approximately normally distributed with a mean of

0

and a standard deviation of

2.0

. Based on the graph of this normal distribution, which interval would contain approximately

95

percent of the differences in means?

[- 2.0, 2.0]

[- 4.0, 4.0]

[- 5.2, 5.2]

[- 6.0, 6.0]

Multiple choice · diagramSee Answer + Explanation →

A randomized experiment was performed to compare two weight-loss programs. The difference in mean weight loss between the two groups was

4.5

lbs. A simulation of

1000

re-randomizations resulted in a distribution of differences that was approximately normal, with a mean of

0

and a standard deviation of

2.1

lbs. Using the

95

rule (within

2

standard deviations), is the observed difference of

4.5

lbs significant?

AYes, because

4.5

is more than

2

standard deviations from the mean.

BNo, because

4.5

is less than

2

standard deviations from the mean.

CYes, because the mean of the simulation is

0

DNo, because the standard deviation is too high.

Multiple choice · diagramSee Answer + Explanation →

A clinical trial tested a new antiviral drug. The results are recorded in the table below. Calculate the difference in the proportion of patients who recovered between the Treatment and Control groups. If a simulation shows that this difference occurs by chance only

2

% of the time, what can be concluded about the drug's efficacy?

Open response · diagramSee Answer + Explanation →

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