# Alg2.7 Statistical Inferences

### Lesson 1

• I can decide if a study is good or bad based on evidence.
• I can recognize the difference between a survey, observational study, or experimental study.
• I understand why randomization is important in the design of a study.

### Lesson 2

• I can describe the different purposes for each type of study design (survey, observational study, or experimental study).
• I can recognize the difference between a survey, observational study, or experimental study.
• I understand that my choice of the design for a study will impact what questions I can answer.

### Lesson 3

• I recognize that the way I choose a sample matters, and that random samples have less bias.

### Lesson 4

• I can describe a distribution using the characteristics of its shape, center, and spread.
• I can use the standard deviation to describe the variability in a distribution.

### Lesson 5

• I can calculate a relative frequency and create a relative frequency histogram.
• I know that a normal curve is defined using the mean and standard deviation.

### Lesson 6

• I can calculate a proportion of a set of data that matches a shaded area in a histogram.
• I recognize the patterns of proportions that occur in distributions that are approximately normal in shape.

### Lesson 7

• I can use the mean and standard deviation of a normally distributed data set to estimate intervals when given a proportion.
• I can use the mean and standard deviation of a normally distributed data set to estimate proportions.

### Lesson 8

• I can justify a mathematical claim using evidence.
• I know how to use mathematical evidence to find the difference between when outcomes are unfair or due to random chance.
• I understand why it's important to be skeptical of data that seems unfair.

### Lesson 9

• I can estimate the margin of error using the mean and standard deviation.
• I understand that sample means and proportions can be representative of the overall population.
• I understand that sample means and proportions vary.

### Lesson 10

• I can estimate the margin of error using standard deviation.
• I know that a larger margin of error means more variability, and I should be less confident in my estimate of the population mean.
• I know that a smaller margin of error means less variability, and I can be more confident in my estimate of the population mean.
• I understand that different samples from the same population can still have different statistics.

### Lesson 11

• I can describe why a larger sample size usually leads to a smaller margin of error.
• I understand that sample size influences the size of the margin of error for a data set.

### Lesson 12

• I can calculate the mean and standard deviation of sample means and use the information to estimate the margin of error.
• I understand that sample means that are normally distributed follow the same pattern as sample proportions.

### Lesson 13

• I can find the difference between two treatment means and use a randomization distribution to determine whether or not the result occurred by random chance.
• I understand why randomization is important in the design of a study.

### Lesson 14

• I can calculate the difference in means between two groups.
• I can justify whether there is evidence for a statistical claim by using proportions in the normal distribution.
• I understand that the difference in means can be modeled by a distribution that is approximately normal in shape.

### Lesson 15

• I can use a randomization distribution to determine whether or not a treatment was the cause of the results of an experiment, or if the results are due to the random assignment of the groups.
• I understand why it is important to question the results of an experiment.

### Lesson 16

• I can conduct an experiment and analyze the results.
• I can justify when the claims of an experiment are due to a treatment or to the random assignment of groups.
• I know why it is important to question the validity of the claims of an experiment.