How Tall Is Your Average Statistics Classmate? to Determine This,you

question 28

Multiple Choice

How tall is your average statistics classmate? To determine this,you measure the height of a random sample of 15 of your 100 fellow students,finding a mean height of 166.6 cm and a standard deviation of 5.64 cm.Have the conditions and assumptions for inference been met?

• A)No,the sample wasn't random.
• B)Yes,all conditions and assumptions have been met.
• C)No,the sample is more than 10% of the population.
• D)No,the population is not likely to be Normal.
• E)No,the sample is not representative.

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Definitions:

T-statistic

The T-statistic is a ratio used in hypothesis testing that compares the difference between an observed sample mean and a known value, to the standard error of the mean.

Null Hypothesis

A default hypothesis that there is no significant difference or effect, typically set against the alternative hypothesis in statistical testing.

Alpha

A coefficient used in statistics that represents the level of significance, often denoted as the probability of rejecting a true null hypothesis.

T-statistic

A type of statistic used in hypothesis testing, calculated to compare the mean of a sample to the known mean of the population.