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Statistics Problems1) Ask 10 people (try to get 5 males and 5 females) the following questionsA)  Their agesB)  How many vitamins they take dailyC)  How many carbonated sodas they drink each dayD)  How many alcoholic beverages they drink per monthE)  Write your own question.  Ask your participants if they agree with something or if they do something.  For example, you may want to ask them if they eat popcorn when they go to the movies or if they support a political issue.  It must be a yes/no question. SAVE YOUR DATA - You will use the data you gathered above for the problems below and more question in future weeks.Practice Problems:1) Use your data from above. This week assume that historically the average person takes 3 vitamins on a daily basis.  Conduct a hypothesis test analysis to determine if 3 is still the correct average number.  Write your hypotheses in correct statistical notation.  Finally use the important numbers from your output to explain your results.  Use alpha = 0.05.  Post only the relevant numbers, not all of the output; then explain your results.2)  Use your data from above.  Analyze if more than 58% support an issue or partake in an activity. (Question E above).  Write the hypotheses.  Show the relevant numbers. Then explain your results.  Use alpha = 0.05. SexAgeHow many vitamins do you take daily?How many carbonated sodas do you drink daily?How many alcoholic beverages do you drink monthly?Do you eat popcorn when you go to the movies?1Female23010Yes2Female240012Yes3Female29104No 4Female26216Yes5Female27103Yes6Male283220Yes7Male32310No 8Male252220Yes9Male232230Yes10Male273115No Mean26.41.711170% yes; 30% noStandard deviation2.8362731.1595020.81649710.1105Two-tailed t-testNull hypothesis (Ho) = μ = 3The average number of vitamins that the average person takes daily is 3.Alternative hypothesis (Ha) = μ ≠ 3The average number of vitamins that the average person takes daily is not 3.Sample size (n) = 10Degrees of freedom (df) = 10-1 = 9Sample mean (x bar) = 1.7Sample standard deviation (s) = 1.16Standard error (SE) = s/√n = 1.16 / √10 = 0.3668Test statistic (t-score)(t) = (x- μ)/SE = (1.7 -3)/ 0.3668 = -3.54Test statistic = t = (X̅ - 3)/(s/n) = (1.3-3)/(1.337/10) = - 2.577Critical value (cv) = t(0.05, 9) = 2.2622Rejection region = -2.262 > t < 2.262 Significance level (α) = 0.05p(t ≤-3.54) = 0.0032 p(t ≥-3.54) = 0.0032p-value = 0.0032 + 0.0032 = 0.0064Since the t value falls outside the rejection region, the null hypothesis is rejected. Since the p-value is less than the significance level (0.05), the null hypothesis is rejected. Therefore, it can be concluded that the average number of vitamins taken by the average person is not 3.2) Use your data from above. Analyze if more than 58% support an issue or partake in an activity. (Question E above). Write the hypotheses. Show the relevant numbers. Then explain your results. Use alpha = 0.05.
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  1. shortone
    Tutorial # 00051557 Posted By: shortone Posted on: 03/14/2015 04:40 PM
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