Statsprob

Topic : Conducting Hypothesis Testing

GENERAL INSTRUCTION: Write your answer on a separate paper Practice A. Complete the table. Read the given problem then solve using the steps of hypothesis testing using population means by filling the blanks. The owner of a factory that sells a particular bottled fruit juice claims that the average capacity of their product is at least 250 ml. To test the claim, a consumer group gets a sample of 100 such bottles, calculates the capacity of each bottle, and then finds the mean capacity to be 248 ml. The standard deviation s is 5 ml. Is the claim true? Write your answer on a separate sheet of paper.(10 points) Steps Answer 1. Formulate the null and alternative Ho: H 2 250 hypothesis. Ha: (1) and the test is (2) tailed to the ) 2. Collect data and decide on Given: p = 250 X =248 appropriate statistical testing s = 5 a = 0.05 procedure. Specify the level of n = 100 Zgs = (3) significance a. (applies CLT) 3. Compute the test-statistic a. Solve for standard error SX = - =(4 S. = (5) Since n> 30, use z 7= - (6) 2= (8) 4. Determine the rejection region, then ZCOMPUTED VS Zov make a decision. (9) The null hypothesis is not accepted. 5. Make a conclusion about the (10) hypotheses 48 Practice B.Complete the table. Read the given problem then solve using the steps of hypothesis testing using population. In a plant nursery, the owner thinks that the lengths of seedlings in a box sprayed with a new kind of fertilizer has an average height of 26 cm after three days and a standard deviation of 10 cm. One researcher randomly selected 80 such seedlings and calculated mean height to be 20 cm and the standard deviation was 10 cm. Will you conduct a one-tailed test or a two-tailed test using a = 0.05? Steps Answer 1. Formulate the null and alternative hypothesis. 2. Collect data and decide on appropriate statistical testing procedure. Specify the level of significance a. 3. Compute the test-statistic 4. Determine the rejection region, then make a decision. 5. Make a conclusion about the hypotheses