Question Solved1 Answer 4.15 Apply the x- goodness-of-fit test to the data in column 1 and test the assumption of a normal distribution. TABLE 4:9 48.8 Measured Force Data for Exercise Problems F (N) Set 1 F (N) Set 2 F(N) Set 3 51.9 51.9 51.1 51.0 48.7 50.1 50.3 51.1 51.4 49.6 51.7 50.5 51.0 49.9 49.7 50.0 51.6 48.9 52.5 51.0 50.5 51.7 49.5 50.9 51.3 52.4 52.4 52.6 49.5 51.3 49.4 51.6 50.7 50.3 49.4 52.0 50.3 50.8 49.4 50.2 50.8 49.7 50.9 50.2 50.5 52.1 50.1 50.7 49.3 52.3 48.9 49.4 50.7 49.9 50.5 50.4 49.2 49.7 51.5

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Transcribed Image Text: 4.15 Apply the x- goodness-of-fit test to the data in column 1 and test the assumption of a normal distribution. TABLE 4:9 48.8 Measured Force Data for Exercise Problems F (N) Set 1 F (N) Set 2 F(N) Set 3 51.9 51.9 51.1 51.0 48.7 50.1 50.3 51.1 51.4 49.6 51.7 50.5 51.0 49.9 49.7 50.0 51.6 48.9 52.5 51.0 50.5 51.7 49.5 50.9 51.3 52.4 52.4 52.6 49.5 51.3 49.4 51.6 50.7 50.3 49.4 52.0 50.3 50.8 49.4 50.2 50.8 49.7 50.9 50.2 50.5 52.1 50.1 50.7 49.3 52.3 48.9 49.4 50.7 49.9 50.5 50.4 49.2 49.7 51.5
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Transcribed Image Text: 4.15 Apply the x- goodness-of-fit test to the data in column 1 and test the assumption of a normal distribution. TABLE 4:9 48.8 Measured Force Data for Exercise Problems F (N) Set 1 F (N) Set 2 F(N) Set 3 51.9 51.9 51.1 51.0 48.7 50.1 50.3 51.1 51.4 49.6 51.7 50.5 51.0 49.9 49.7 50.0 51.6 48.9 52.5 51.0 50.5 51.7 49.5 50.9 51.3 52.4 52.4 52.6 49.5 51.3 49.4 51.6 50.7 50.3 49.4 52.0 50.3 50.8 49.4 50.2 50.8 49.7 50.9 50.2 50.5 52.1 50.1 50.7 49.3 52.3 48.9 49.4 50.7 49.9 50.5 50.4 49.2 49.7 51.5
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The Chi-Square goodness of fit test to test whether thenormality assumption is true for column 1 is performed in followingsteps in excel.Step 1: Write the data value in excel. The screenshot is shownbelow,AStep 2: The mean and standard deviation for the data values areobtained using the excel functions =AVERAGE() and STDEV(). Thescreenshot is shown below,Step 3: The Z score for each data values are obtained using theformula,Z score =(X-mu)/(sigma)The screenshot is shown below,Step 4: The observed value are obtained by counting the Z scoreas follows,The observed values are,Observed valuesZ scoreCountZ&lt;-14-1&lt;Z&lt;050&lt;Z&lt;18Z&gt;13Step 5: The expected values are obtained in excel. Thescreenshot is shown below,The expected values are,Expected valuesZ scoreCountZ&lt;-13.173-1&lt;Z&lt;06.8270&lt;Z&lt;16.827Z&gt;13.173Step 6: The Chi-Square statistic is obtained using theformula,chi^(2)=sum((" Observed-Expected ")^(2))/(" Expected ")Z scoreObserved, <img alt="0" src="https://studymeta.oss-cn-hongkong.aliyuncs.com/9/9d14353e1ec1eee5e65b97ca7c21f2fd.jpg" aria-describe ... See the full answer