THE ASQ-3 is a standardized screeing tool. Scores on each domian of the screening tool, communication , gross motor, fine motor, problem solving, and personal - social are normally distributed, and each have a standard deviation for each age group.The mean problem  sovling score of 3 years old is 48.7, with a stadard deviation of 9.2.You believe that 3 year old who attend a particular pre school have a better than average problem solving skills.. All of the 3 year old attending that pre school are screened  using ASQ-3. Here is the sample data from a particular pre school program   Scores: 55, 67,54, 59, 65, 53, 49 50, 51, 48 ,65,  59, 61, 55,  67,  56, 60, 65, 48, 63, 53, 49, 65, 62, 57. Test the hypothesis at  the 5 % level significance. (alpha =0.05) using the five step procedure given below.   step1  .Specify the null hypothese step 2: specify the alternative hypothese; step3: set the alpha level step4 : calculate the test statistic and the corresponding p value step5: draw up a conclusion clearly state the null and alternative hypotheses. Round up answer to 2 decimal places Based on the Z (calculated) score obtained above , complete the following table by indicating the correct conclusion. alpha         type of hypothesis             type of test         Z(critical)           conclusion .05           Non-directional                   two tailed               1.96 .01           directional                          one tail                   2.33 .01        non-diectional                     two tail                   2.575

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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THE ASQ-3 is a standardized screeing tool. Scores on each domian of the screening tool, communication , gross motor, fine motor, problem solving, and personal - social are normally

distributed, and each have a standard deviation for each age group.The mean problem  sovling score

of 3 years old is 48.7, with a stadard deviation of 9.2.You believe that 3 year old who attend a

particular pre school have a better than average problem solving skills.. All of the 3 year old attending that pre school are screened  using ASQ-3. Here is the sample data from a particular pre school program

  Scores: 55, 67,54, 59, 65, 53, 49 50, 51, 48 ,65,  59, 61, 55,  67,  56, 60, 65, 48, 63, 53, 49, 65, 62, 57.

Test the hypothesis at  the 5 % level significance. (alpha =0.05) using the five step procedure given below.

 

step1  .Specify the null hypothese

step 2: specify the alternative hypothese;

step3: set the alpha level

step4 : calculate the test statistic and the corresponding p value

step5: draw up a conclusion

clearly state the null and alternative hypotheses. Round up answer to 2 decimal places

Based on the Z (calculated) score obtained above , complete the following table by indicating the

correct conclusion.

alpha         type of hypothesis             type of test         Z(critical)           conclusion

.05           Non-directional                   two tailed               1.96

.01           directional                          one tail                   2.33

.01        non-diectional                     two tail                   2.575

 

 

 

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