Applied Stat for Bio Sci
Applied Stat for Bio Sci STA 100
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This 2 page Class Notes was uploaded by Carmen Mayer on Tuesday September 8, 2015. The Class Notes belongs to STA 100 at University of California - Davis taught by Staff in Fall. Since its upload, it has received 17 views. For similar materials see /class/191916/sta-100-university-of-california-davis in Statistics at University of California - Davis.
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Date Created: 09/08/15
Statistics 100 Instructions Sample FINAL 1 WORK ALL PROBLEMS Please give details and explanations and SHOW ALL YOUR WORK so that partial credits can be given 2 You may use three pages of notes tables and a calculator but no other reference materials Points 1 10 2 30 3 Statistics 100 Points An insurance company is trying to estimate the difference in average number of sick days that fulltime service workers in public and private sectors use per year A pilot study found that the standard deviation for the public sector is 21 days and for the private sector is 32 days How large the sample must be selected from each sector if the company wants to have 80 power and be 99 sure of getting a con dence interval which covers the true value of the difference with a margin of error of 1 day Explain which assumptions you used in the calculation of this sample size The data given below are the shoe sizes X and the weights y of nine college males X 95 105 11 85 85 95 y 140 155 150 180 160 155 145 163 150 a Obtain the estimated leastsquares regression equation and explain the meaning of the estimated slope in the context of this problem b Plot the estimated regression function and the data Does a linear function appear to give a good t here Test the null hypothesis that the regression slope is equal to zero versus the alternative hypothesis that the regression slope is positive at 001 level of signi cance and nd the pValue Find the a 95 con dence interval for the mean weight when the shoe size is 10 0 A medical laboratory was encountering difficulties in forecasting the technician requirements for largescale medical testing projects As part of the study to remedy the dif culties 15 technicians classi ed into equal groups by years of experience under 5 years 5 to 10 years and 10 years or more were asked to predict the number of techniciansdays required to nish a large project about to be initiated After this project was completed the prediction error actual minus predicteddays were determined The on prediction errors are Years of Experience Sam le Under 5 5 to 10 10 or more 1 94 110 97 2 126 118 87 3 136 103 102 4 122 95 89 5 102 120 96 The total sum of square is 3066 and the error sum of squares is 1797 Sample Final page 2 25 20 15 Squot 5quot Does the data suggest that the true means of prediction errors differ for the three levels of education State the null and alternative hypotheses Test at 005 level of signi cance Find the pvalue Construct 95 Bonferroni con dence for all pairwise comparisons and state your conclusions based on these intervals POSTS An exercise physiologist measured the heart rate of 10 randomly selected people The subjects were then placed on a running program to see if exercise makes any difference in terms of heart ate One year later their heart rates were measured again The results are as follows Before 68 76 74 71 71 72 75 83 75 74 After 67 77 74 69 70 70 71 77 71 74 a State the null and alternative hypotheses b Test at 005 level of signi cance c Use a nonparametric procedure to test the hypothesis stated in part a d Compare the results of parts b and c and discuss In a study of heat disease in male federal employees volunteer subjects were selected from each socioeconomic status and they were classi ed based their smoking habits The data for this twoway classi cation is shown below Socioeconomic Class High Middle or Low Smoking Current 51 65 Former or Never 149 85 a State the null and alternative hypotheses in words b Use the chisquares procedure to test the hypothesis stated in a at 001 level c What is the pvalue
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