Answer the blanks with ref highlighted marks. Use image two to determine the test procedure and p value 2. SWIMMER'S FLEXIBILITY STUDYSwimming requires complete body movement as defined in sports science. A swimmer'sflexibility helps in his/her movement in water, thus making him/her a faster swimmer. In astudy conducted to determine if there is an improvement in swim speed after doingflexibility exercise, 15 swimmers of the same characteristics were randomly selected. Theywere asked to do a 25-m freestyle and their swim speed (in seconds) were recorded. Afterthis, a flexibility exercise was done. All the swimmers were then asked to do another 25-m freestyle and their swim speed (in seconds) were also recorded.".(Use before - after in your computations)Swimmer248.Before16.8719.4220.0422.8224.2417.7623.9117.17After15.8218.4720.4321.7623.8818.1220.9616.03Swimmer9101112131415Before17.4515.5322.1518.2616.6520.5118.46After18.4815.4120.9119.1814.4518.8619.89Ho: (in symbols)before doing flexibility exercise isswimmers after doing flexibility exercise.(in words) The average swim speed of swimmersthe average swim speed ofHa: (in symbols)before doing flexibility exercise isswimmers after doing flexibility exercise.; (in words) The average swim speed of swimmersthe average swim speed ofTest Procedure:Justify your choice of test procedure:p-value:Conclusion: At alpha = 0.05, 2. SWIMMER'S FLEXIBILITY STUDYSome statisticsBefore:mean = 19.4160; median = 18.46After:mean = 18.8433; median = 18.86Let difference = before – afterd = 0.5727md = 0.95Wilk-Shapiro Test for NormalitybeforeW = 0.92695p-value = 0.2456data:data:afterdata:differenceW = 0.97168p-value = 0.8821W = 0.96992p-value = 0.8569Student's t-test on Paired Samples: Before vs AfterHa: less than 0t = 1.7819Ha: not equal to 0Ha: greater than 0t = 1.7819t = 1.7819p-value = 0.09646p-value = 0.9518p-value = 0.04823Ha: not equal to 0V = 89.5Wilcoxon Matched-Pairs Signed Ranks Test: Before vs AfterHa: less than 0V = 89.5Ha: greater than 0V = 89.5p-value = 0.09947p-value = 0.9558p-value = 0.04974F-test for Equality of VariancesF = 1.1255p-value = 0.828Student's t-test on Two Independent Pop’n Means: Before vs AfterHa: greater than 0t = 0.58311Ha: less than 0t = 0.58311Ha: not equal to 0t = 0.58311p-value = 0.5645p-value = 0.7178p-value = 0.2822Welch's t-test on Two Independent Pop'n Means: Before vs AfterHa: greater than 0t = 0.58311Ha: not equal to 0Ha: less than 0t = 0.58311t = 0.58311p-value = 0.5645p-value = 0.7177p-value = 0.2823Mann-Whitney Test on Two Independent Pop’n Means: Before vs AfterHa: less than 0W = 120p-value = 0.6281Ha: not equal to 0W = 120p-value = 0.7748Ha: greater than 0W = 120p-value = 0.3874

Question

Answer the blanks with ref highlighted marks. Use image two to determine the test procedure and p value 2. SWIMMER'S FLEXIBILITY STUDYSwimming requires complete body movement as defined in sports science. A swimmer'sflexibility helps in his/her movement in water, thus making him/her a faster swimmer. In astudy conducted to determine if there is an improvement in swim speed after doingflexibility exercise, 15 swimmers of the same characteristics were randomly selected. Theywere asked to do a 25-m freestyle and their swim speed (in seconds) were recorded. Afterthis, a flexibility exercise was done. All the swimmers were then asked to do another 25-m freestyle and their swim speed (in seconds) were also recorded.&#34;.(Use before - after in your computations)Swimmer248.Before16.8719.4220.0422.8224.2417.7623.9117.17After15.8218.4720.4321.7623.8818.1220.9616.03Swimmer9101112131415Before17.4515.5322.1518.2616.6520.5118.46After18.4815.4120.9119.1814.4518.8619.89Ho: (in symbols)before doing flexibility exercise isswimmers after doing flexibility exercise.(in words) The average swim speed of swimmersthe average swim speed ofHa: (in symbols)before doing flexibility exercise isswimmers after doing flexibility exercise.; (in words) The average swim speed of swimmersthe average swim speed ofTest Procedure:Justify your choice of test procedure:p-value:Conclusion: At alpha = 0.05, 2. SWIMMER'S FLEXIBILITY STUDYSome statisticsBefore:mean = 19.4160; median = 18.46After:mean = 18.8433; median = 18.86Let difference = before – afterd = 0.5727md = 0.95Wilk-Shapiro Test for NormalitybeforeW = 0.92695p-value = 0.2456data:data:afterdata:differenceW = 0.97168p-value = 0.8821W = 0.96992p-value = 0.8569Student's t-test on Paired Samples: Before vs AfterHa: less than 0t = 1.7819Ha: not equal to 0Ha: greater than 0t = 1.7819t = 1.7819p-value = 0.09646p-value = 0.9518p-value = 0.04823Ha: not equal to 0V = 89.5Wilcoxon Matched-Pairs Signed Ranks Test: Before vs AfterHa: less than 0V = 89.5Ha: greater than 0V = 89.5p-value = 0.09947p-value = 0.9558p-value = 0.04974F-test for Equality of VariancesF = 1.1255p-value = 0.828Student's t-test on Two Independent Pop’n Means: Before vs AfterHa: greater than 0t = 0.58311Ha: less than 0t = 0.58311Ha: not equal to 0t = 0.58311p-value = 0.5645p-value = 0.7178p-value = 0.2822Welch's t-test on Two Independent Pop'n Means: Before vs AfterHa: greater than 0t = 0.58311Ha: not equal to 0Ha: less than 0t = 0.58311t = 0.58311p-value = 0.5645p-value = 0.7177p-value = 0.2823Mann-Whitney Test on Two Independent Pop’n Means: Before vs AfterHa: less than 0W = 120p-value = 0.6281Ha: not equal to 0W = 120p-value = 0.7748Ha: greater than 0W = 120p-value = 0.3874

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