f we have a 95% confidence interval with a lower limit of 10 and an upper limit of 20, which of the following can we correctly state?

The population mean is most likely 15, since that is the median of our interval.

We can be 95% confident that the true value of the sample mean is between 10 and 20.

The population mean is most likely 15, since that is the mean of our interval.

We can be 95% confident that the true value of the population mean is between 10 and 20.

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Which of the following is TRUE about inferential statistics:

It involves making inferences about a population using sample information/data.

It involves making inferences about how confident we can be that the distribution reflects our sample.

It involves making inferences about a sample using population information/data.

It involves making inferences about how confident we can be that our sample represents the distribution.

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Product Development at Your Best You cosmetics company wants to determine which lipstick colors will be most popular this fall. They survey a group of people who purchase lipstick to determine which colors the consumers would buy. Your Best You also wonders if color choices may differ by age group, so they ask the consumers to indicate whether they are under 18, 19-29, 30-39, 40-49, 50-59, or 60 and over. In this situation, the age of the lipstick consumers is a(n):

predetermined variable, since you can't randomly assign the consumers to an age group

quantitative variable, since it is a number

qualitative variable, since it is a category

undetermined variable, since you can't know the exact age based on information provided

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If upper management at Your Best You cosmetics company wants to find out about the rate of employee absenteeism and when employees tend to be absent the most, they would utilize:

confidence intervals

inferential statistics

descriptive statistics

hypothesis testing

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If upper management at Your Best You cosmetics company wants to find out about the rate of employee absenteeism and when employees tend to be absent the most, they would utilize:

descriptive statistics

hypothesis testing

confidence intervals

inferential statistics

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Your Best You cosmetics company's lipstick usually wears off in about two hours. Your Best You chemists have developed a new lipstick formula that they believe will last longer than their current product. They attain a sample of consumers of lipstick and have them wear the new product and assess how long it takes for it to wear off. Then they run a hypothesis test and the results indicate that they should reject the null hypothesis. What will most likely happen next?

They do not switch to the new formula, since they can't be sure it lasts longer.

If the hypothesis test was set to an alpha of .05, they can say that the new product lasts 95% longer.

They get a new sample of women and run the test again.

They change their lipstick manufacturing to the new formula.

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Which of the following is NOT an element of hypothesis testing?

The test statistic

The confidence interval

The significance level

The p-value

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Your Best You cosmetics company's lipstick usually wears off in about two hours. Your Best You chemists have developed a new lipstick formula that they believe will last longer than their current product. They get a group of women to wear the new lipstick and assess how long it takes for the lipstick to wear off. Then they run a hypothesis test, setting alpha to .05. The p-value is .001. What should the researchers at Your Best You do?

fail to reject the alternative hypothesis

reject the null hypothesis

fail to reject the null hypothesis

reject the alternative hypothesis