Question

Suppose U.S. consumers 21 years and older consumed 26.8 gallons of beer and cider per person during 2017. A distributor in Milwaukee believes that beer and cider consumption are higher in that city. A sample of consumers 21 years and older in Milwaukee will be taken, and the sample mean 2017 beer and cider consumption will be used to test the following null and alternative hypotheses: Horus 26.8 Hu > 26.8 (a) Assume the sample data led to rejection of the null hypothesis. What would be your conclusion about consumption of beer and cider in Milwaukee? Conclude that the population mean annual consumption of beer and cider in Milwaukee is less than or equal to 26.8 gallons and hence lower than throughout the United States. Conclude that the population mean annual consumption of beer and cider in Milwaukee is greater than 26.8 gallons and hence lower than throughout the United States. Conclude that the population mean annual consumption of beer and cider in Milwaukee is less than or equal to 26.8 gallons and hence higher than throughout the United States. Conclude that the population mean annual consumption of beer and cider in Milwaukee is greater than 26.8 gallons and hence higher than throughout the United States. (b) What is the Type I error in this situation? What are the consequences of making this error? The type I error is rejecting Ho when it is true. This error would claim the consumption in Milwaukee is greater than 26.8 when it is actually less than or equal to 26.8. The type I error is rejecting H, when it is false. This error would claim the consumption in Milwaukee is greater than 26.8 when it is actually greater than 26.8. The type I error is not rejecting H, when it is true. This error would claim the consumption in Milwaukee is less than or equal to 26.8 when it is actually less than or equal to 26.8. The type I error is not rejecting H, when it is false. This error would claim the consumption in Milwaukee is less than or equal to 26.8 when it is actually greater than 26.8. (c) What is the Type II error in this situation? What are the consequences of making this error? The type II error is not accepting Ho when it is true. This error would claim that the population mean annual consumption of beer and cider in Milwaukee is greater than 26.8 gallons when it is not. The type II error is accepting Ho when it is true. This error would claim that the population mean annual consumption of beer and cider in Milwaukee is less than or equal to 26.8 ganun? WHICHI IL is less than or equal to 26.8. The type II error is accepting Ho when it is false. This error would claim that the population mean annual consumption of beer and cider in Milwaukee is less than or equal to 26.8 gallons when it is not. The type II error is not accepting Ho when it is false. This error would claim that the population mean annual consumption of beer and cider in Milwaukee is greater than 26.8 gallons when it is greater than 26.8.

Answer 1

A)

If we reject the null hypothesis then, we have enough evidence to support alternate hypothesis

Here we rejected the null that mean is less than or equal to 26.8

So answer here is

Conclude that population mean annual consumption of beer and cider is greater than 26.8 and hence higher throughout the united states

B)

Type 1 error means rejection of true null hypothesis Ho

So answer is

Type 1 error is rejecting Ho when it is true

This error would claim that u > 26.8 while it is less than or equal to 26.8

C)

Type 2 error means failure to reject false null hypothesis

The type 2 error is accepting Ho when it is false

This error would claim that mean is less than or equal to 26.8 when it is not