Question

For this problem, you will have to report your answers in the boxes provided. Each question has its own instructions. Read carefully and follow the instructions as stated for each question to ensure that you get full credit. If you fail to follow these instructions, the computer would mark you wrong.

Report your answers in the boxes in the same order the questions are listed in the problem. Question number matches up the box number. E.g. Question 1 matches up box 1. Question 2 matches up box 2, etc

The problem starts here:

A consumer group claims that the mean annual consumption of high fructose corn syrup by a person in the United States is at most 48.8 pounds. A random sample of 120 people in the United States has a mean annual high fructose corn syrup consumption of 49.5 pounds. Assume the population standard deviation is 3.6 pounds. At α = 0.05, can you reject the claim?

1. State the null hypothesis

Instruction: For this question, do not enter any letter in box 1. Only the following mathematical symbols >=, <=, =, =!, >, or < and numbers are allowed. Do not enter a space between the mathematical symbol and the number.

Note: =! means equal to.

Example of acceptable answer in part 1: >=80

The null hypothesis Ho is: µ

2. State the alternative hypothesis   

Instruction: For this question, do not enter any letter in box 2. Only the following mathematical symbols  >=, <=, =, =!, >, or < and numbers are allowed. Do not enter a space between the mathematical symbol and the number.

Example of acceptable answer in part 2: <89

Note: =! means equal to.

The alternative hypothesis Ho is: µ

3. Which hypothesis carries the claim?

Instruction: Do not enter any number in box 3 nor use Ho or Ha. Report in box 3 one of the followings (all lower case letters): null hypothesis     alternative hypothesis

The claim is on the

4. State the type of test  (LTT, RTT, TTT) you are running?

Instruction: do not enter any number in box 4. Only upper case letters without spaces are accepted in box 4.

e.g. of acceptable answers: TTT, LTT, RTT

I am running

5. Find the critical value zc.  

Instruction: In box 5, only report a numerical answer (2 decimal places). Do not enter any letter.

example of acceptable answer: 1.99

zc is equal to

6. Find the standardized test statistic

Instruction: Only report a number with 2 decimal places in box 6. After calculating your test statistics, round up your answer if the digit in the third decimal place is greater than or equal to 5. Round down your answer, if it is less than 5.

e.g. For 3.4578, report 3.46

For 1.8538, report 1.85

The test statistic is equal to

7. What is your decision?

Instruction: Do not enter any number in box 7 nor use Ho or Ha. Type in box 7, one of the followings (all lower case letters): reject the null hypothesis   fail to reject the null hypothesis

My decision is to

8. Do you support the claim?

Instruction: Do not enter any number in box 8. Simply type in (all lower case letters) one of the followings: yes or no

Do you support the claim?

Answer 1