Statistics Lecture Review

These flashcards cover key concepts, hypothesis testing, and statistical terms from the lecture notes on statistics.

What is the claim regarding the mean weight of the cereal pack?

The claim is that μ is greater than or equal to 14 ounces.

What is the null hypothesis in this lecture?

H₀: μ = 14 ounces.

What is the alternative hypothesis formulated during the lecture?

H₁: μ < 14 ounces.

What is the value of the t score calculated in the example?

The t score calculated was approximately 0.408.

What is the significance level mentioned during the lecture?

The level of significance mentioned is 0.01.

For hypothesis testing with sigma known, which score is used?

The z score is used when sigma is known.

How is p hat defined in the context of hypothesis testing?

P hat (p̂) represents the sample probability.

What is the difference between p and p hat?

P is the population proportion, while p hat is the sample proportion.

What does it mean if you fail to reject the null hypothesis?

It means there is insufficient evidence to support the alternative hypothesis.

What is the significance level for the right tail test mentioned in the lecture?

The significance level for the right tail test is 0.05.

What critical value is related to the significance level of 0.05 in a right-tailed test?

The critical value is approximately 1.645.

What does it indicate if a test statistic falls within the fail to reject region?

It indicates that you do not have enough evidence to reject the null hypothesis.

What is the formula used in hypothesis testing for proportions?

The formula is p hat minus p over the square root of p times q divided by n.

How do you find the critical value for a two-tailed test with alpha 0.05?

The critical values are approximately -1.96 and 1.96.

What does it indicate if the test statistic is greater than the critical value in a right-tailed test?

It indicates you reject the null hypothesis.

What is the sample size (n) mentioned for calculating p hat?

The sample size (n) mentioned is 200.

In hypothesis tests, what does the alpha level represent?

The alpha level represents the probability of making a Type I error.

What does the term 'two tails' imply in hypothesis testing?

It implies that the test considers deviations in both directions from the mean.

What is the p value discussed during the lecture when there is a failure to reject the null hypothesis?

The p value is greater than the alpha level.