Exam 11: Introduction to Hypothesis Testing

NARRBEGIN: Toaster Oven Toaster Oven An appliance manufacturer claims to have developed a new toaster oven that consumes an average of no more than 250 W. From previous studies, it is believed that power consumption for toaster ovens is normally distributed with a standard deviation of 18 W. A consumer group suspects the actual average is more than 250 W. They take a sample of 20 toaster ovens and calculate the average consumption to be 260 W.NARREND -{Toaster Oven Narrative} State the appropriate hypotheses for the consumer group to do their test.

We have created a 90% confidence interval for $\mu$ with the result (25, 32). What conclusion will we make if we test H₀: $\mu$ =28 vs. H₁: $\mu$$\neq$ 28 at $\alpha$ = 0.10?

When a null hypothesis is rejected, the test is said to be statistically ____________________ at level $\alpha$ .

To increase the power of a test, ____________________ the sample size.

NARRBEGIN: Toaster Oven Toaster Oven An appliance manufacturer claims to have developed a new toaster oven that consumes an average of no more than 250 W. From previous studies, it is believed that power consumption for toaster ovens is normally distributed with a standard deviation of 18 W. A consumer group suspects the actual average is more than 250 W. They take a sample of 20 toaster ovens and calculate the average consumption to be 260 W.NARREND -{Toaster Oven Narrative} What is the conclusion from the hypothesis test using $\alpha$ = .05?

The larger the p-value, the more likely one is to reject the null hypothesis.

Researchers claim that 40 tissues is the average number of tissues a person uses during the course of a cold. The company who makes Puffs brand tissues thinks that fewer of their tissues are needed. What are their null and alternative hypotheses?