please answer my 4 questions with steps. thank you
1. A chocolatier claims that the average weight of a competitor's box of chocolates is less than 368 grams. The population standard deviation of the boxes' weights is known to be 10 grams. A sample of 49 boxes has a mean of 364 grams. Test the claim using a 0.01 level of significance. Use the traditional method. Step 1: State the hypotheses and identify the claim. H. : H : Step 2: Find the critical value(s). C.V. = Step 3: Compute the test value. Step 4: Determine whether or not to reject the null. (Circle the correct term.) do We reject Ho. don't Step 5: Summarize the results. (Circle the correct terms.) do reject We have sufficient evidence to the claim. don't support3. A large retailer claims that the mean income of families living within 2 miles of a proposed building site exceeds $24,400. If the sample mean income of 60 families is $24,524 and the population standard deviation is $763, can we conclude at the 0.05 level of significance that the retailer's claim is correct? Use the P-value method. Step 1: State the hypotheses and identify the claim. Ho : H : Step 2: Compute the test value. Step 3: Find the P-value. P-value = Step 4: Determine whether or not to reject the null. (Circle the correct term.) do We reject Ho. don't Step 5: Summarize the results. (Circle the correct terms.) do reject We have sufficient evidence to the claim. don't support4. The president of a university claims that the mean salary for the parents of an entering class is $90,200. To test this claim, she surveys 25 randomly selected families and finds that their average income is $86,500 with a sample standard deviation of $10,000. At o = 0.05 is her claim correct? Use the traditional method. Step 1: State the hypotheses and identify the claim. Ho : H : Step 2: Find the critical value(s). C.V. = Step 3: Compute the test value. Step 4: Determine whether or not to reject the null. (Circle the correct term.) do We reject H. don't Step 5: Summarize the results, (Circle the correct terms.) do reject We have sufficient evidence to the claim. don't support2. A manufacturer claims that the proportion of the public which prefers her product over that of her competitor is 20%. A sample of 100 persons is taken to check her claim. It is found that 16 of these 100 persons preferred her product. Test her claim using o = 0.05. Use the traditional method. Step 1: State the hypotheses and identify the claim, Ho : H : Step 2: Find the critical value(s). C.V. = Step 3: Compute the test value. Step 4: Determine whether or not to reject the null. (Circle the correct term.) do We reject Ho. don't Step 5: Summarize the results. (Circle the correct terms.) do reject We have sufficient evidence to the claim. don't support
