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

Step 1 (Hypotheses)

H₀:   (Click toselect)  ?  p  ?  n  x-bar  s  ?     (Clicktoselect)  =  ?  ?  >  ?  <    

H_A:   (Click toselect)  ?  x-bar  ?  p  ?  s  n     (Clicktoselect)  =  ?  ?  >  ?  <    

Step 2 (Decision rule)

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

Step 3 (Test statistic)

Using the sample data, the calculated value of the teststatistic is  (Click toselect)  +  -  ±   .(report your answer to 4 decimal places, usingconventional rounding rules)

Step 4 (Evaluate the null hypothesis)

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

Step 5 (Practical conclusion)

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

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

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