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Assignment On Statistics (Doc)

Added on - 23 Mar 2020

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STATISTICSSTUDENT ID:[Pick the date]
STATISTICSQuestion 1The relevant hypotheses to be tested are outlined below.Null Hypothesis: μFEMALE= 2,561.5 kcal/dayAlternative Hypothesis: μFEMALE> 2,561.5 kcal/dayThe relevant test to be applied is right tail z test as the population standard deviation is knownand also the sample size is greater than 30 (as per Central Limit Theorem).Sample mean = 2403.7 kcal/dSample size = 201Populations standard deviation = 880 kcal/dStandard error = 880/√201 = 62.07Hence, z statistic = (2403.7-2561.5)/ 62.07 = -2.54The corresponding p value for the above value of z statistic comes out as 0.994.The level of significance is given as 5%. It is apparent that the p value is greater than thesignificance level and hence there is lack of statistical evidence for rejection of nullhypothesis and acceptance of alternative hypothesis. Hence, it may be concluded that theclaim in regards to female athletes not being deficient is not correct.Question 2The relevant hypotheses to be tested are outlined below.Null Hypothesis: μMALE= 3321.7 kcal/dayAlternative Hypothesis: μMALE> 3321.7 kcal/dayThe relevant test to be applied is right tail z test as the population standard deviation is knownand also the sample size is greater than 30 (as per Central Limit Theorem).Sample mean = 3077 kcal/d
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