# Question 3 (a)

• Summarizing Distribution (SOCS)

• Shape

• Skewed left/right
• Outlier

• Q1 - 1.5 * IQR

• Q3 + 1.5 * IQR

• Center

• Mean or Median

• SD or IQR

# Question 3 (b)

• Conditions for Sampling Distribution (RIN)

• Random

• How the sample is selected
• Independent

• N≥10n

• N: population size

• n: sample size

• Normal

• For

``````means
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• If the population is normally distributed, n can < 30

• For proportions:

# Question 4

• Hypothesis Test

• Using a Statistic to test a claim about a Parameter

• Steps (Why Can't Cat Play Instruments)

• Write the hypothesis

• Null hypothesis (H0): Parameter = ____

• Alternative hypothesis (H1/Ha): Parameter > or < or ≠ ______

• Ckeck conditions (RIN)

• Random Sample

• Independent: N >10n

• Normal:

• μ: n≥30

• Calculate the test statistic

• Mean

• Proportion

• Look up the P-value (from Z table)

• Probability that the null hypothesis (H0) is true, given the sample data you collected

• Interpret

p < α Reject the null hypothesis do have evidence to support the claim
p > α Fail to reject the null hypothesis do not have evidence to support the claim
• Step 1

![States a correct pair of hypotheses. Let represent the population proportion of adults in the United States who would have answered "yes" about the effectiveness of television commercials in December

1. Let P08 represent the analogous population proportion in December 2008. The hypotheses to be tested are Ho: = versus Ha • P08 ](./media/image385.png)
• Step 2

• Step 3

• Step 4

# Question 5 (a)

• Type I: falsely think alternative hypothesis is true (1 false), DO reject the null hypothesis (1 word)

• Type II: falsely think alternative hypothesis is false (2 falses), DO NOT reject the null hypothesis (2 word)