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The mean body weight of 40 males who showed involvement in the college sports activity was 68 kg. with a standard deviation of 3.5kg, while

The mean body weight of 40 males who showed involvement in the college sports activity was 68 kg. with a standard deviation of 3.5kg, while 45 male students who showed no interest in the sports activity had a mean weight of 67 kg. with a standard deviation of 3.8 kg. Test the hypothesis that male students who are involved in the sports activity is more massive than the other male students at .01 level of significance.

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STEPS IN TESTING A HYPOTHESIS 1. Formulate the null hypothesis and alternative hypothesis 2. Set the level of signicance-(o) 3. Determine the appropriate test statistic to be used. a. Use 2- test if either - The population standard deviation is Known (or assumed) or - The sample size is large (n2 30) 4. Determine the critical value 1' tabular value TOT the test. 5. Compute the value of the statistical test using the formula. (Test statistics: 2 =% ) , til+2 ti"! "2 X; = Mean of the 1&5 group, X: = mean of the 223 group 013 =variance of the 131 group' 033: variance of the 23 group n1 = sample of the 1g group n. = sample of the 2'\" group 6. Compare the computed value with its tabular value, then state your conclusion on the following guidelines; Determine the signicance of the computed value - If the absolute computed is less than the absolute tabular value. then H0 is accepted (Not signicant) - If the absolute computed value is greater than the absolute tabular value, then H0 is rejected (Signicant) 7. Interpret the result

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