A researcher believes there is a difference in the mean number of days before visible results begin to show among three types of facial creams that reduce wrinkle lines. Several consumers are randomly selected and given one of the three creams. Each participant then recorded the number of days it took to see results. The results are shown in the table. Based on these data, can you conclude that there is a difference between the mean number of days for these three creams? Use a 0.025 level of significance and assume the population distributions are approximately normal with equal population variances.   Cream #1 Cream #2 Cream #3 20 12 17 19 14 14 16 15 20 14 14 18 19 18 18     21   Step 1 of 2 :   Compute the value of the test statistic. Round any intermediate calculations to at least six decimal places, and round your final answer to four decimal places.      Step 2 of 2: Draw a conclusion and interpret the decision. Fail or reject? Is there enough evidence?

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A researcher believes there is a difference in the mean number of days before visible results begin to show among three types of facial creams that reduce wrinkle lines. Several consumers are randomly selected and given one of the three creams. Each participant then recorded the number of days it took to see results. The results are shown in the table. Based on these data, can you conclude that there is a difference between the mean number of days for these three creams? Use a 0.025 level of significance and assume the population distributions are approximately normal with equal population variances.
 
Cream #1 Cream #2 Cream #3
20 12 17
19 14 14
16 15 20
14 14 18
19 18 18
    21
 
Step 1 of 2 :  
Compute the value of the test statistic. Round any intermediate calculations to at least six decimal places, and round your final answer to four decimal places.
 
 
 Step 2 of 2: Draw a conclusion and interpret the decision. Fail or reject? Is there enough evidence?
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