Question

Softsoap is the trade name of Colgate-Palmolive's liquid hand soap and body wash. The company is concerned that the mean weight of their most popular size of Softsoap is not greater than 7.58 ounces. A sample of 16 Softsoap bottles is selected; the sample mean is 7.595 ounces, and the sample standard deviation is 0.025 ounces. Using α = .01, is there evidence that the population mean weight of all Softsoap bottles is significantly greater than 7.58 ounces? Do a complete and appropriate hypothesis test.

Step 1 (Hypotheses)

H₀:   (Click to select)  σ  p  π  n  x-bar  s  μ     (Click to select)  =  ≠  ≤  >  ≥  <    

H_A:   (Click to select)  μ  x-bar  π  p  σ  s  n     (Click to select)  =  ≠  ≤  >  ≥  <    

Step 2 (Decision rule)

Using only the appropriate statistical table in your textbook, the critical value for rejecting H₀ is  (Click to select)  +  -  ±   . (report your answer to 3 decimal places, using conventional rounding rules)

Step 3 (Test statistic)

Using the sample data, the calculated value of the test statistic is  (Click to select)  +  -  ±   . (report your answer to 4 decimal places, using conventional rounding rules)

Step 4 (Evaluate the null hypothesis)

Should the null hypothesis be rejected?   (Click to select)  yes  no   

Step 5 (Practical conclusion)

Should the company conclude that the population mean weight of the Softsoap bottles is significantly greater than 7.58 ounces?   (Click to select)  yes  no   

Using only the appropriate statistical table in your textbook, what is the most accurate statement you can make about the numerical value of the p-value of this hypothesis test?       

Answer:  (provide a one-sentence statement about the p-value)

Answer 1

TOPIC:Test for the population mean.