Statistics Final Project

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timer Asked: Apr 25th, 2018
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Question Description

The specific details of the project are within the "Project Details" file, the data to use for each analysis are in "Data for Final Project" and the other two files are to be used as supplements for formatting and logistics.

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Final Project Subsequent Data in other attached files. Use data that I provide and perform three hypotheses testing. The data for Company A is based on a sample randomly selected from its workers. The information about Company B is based on the entire population of workers there so you do not need to test anything about it. It is given to you only to allow you to come up with a more creative claims. One analysis should be testing the mean with the use of normal distribution, one testing the mean using t-distribution, and one testing proportions. All about Company A. Examples of claims: The proportion of workers with green eyes in Company A is smaller than the one in Company B; the average number of sick days taken by the workers of Company A is 4 (more examples at the bottom of this document). Select the right data for all analyses (there are a lot of choices for each type of analysis, select any). Each analysis should be done in the manner described below (please do follow the scheme otherwise I will not give you any credit). Your work must be done in an orderly and neat way. Please always write full sentences. Use capital letters where they are needed. The way you display your work is always very important. We know the following about Company A: population standard deviation of number of sick days taken in 2017 is 1 population standard deviation of number of vacation taken is 10 population standard deviation of number of kids for each worker is 0.5 We know the following about Company B: average age is 25 proportion of workers with college is 0.4 workers with green eyes is 0.2 with hazel 0.3 with black 0.5 and blue eyes is 0.1 average # of kids is 1.2 proportion of workers without kids is 0.3 average weight id 145 average height 175cm proportion of democrats 0.6, republicans 0,4 (no independents) average salary $55000 proportion of workers owning a house 0.6, owning a car 0.8 average of days of vacation taken in 2017 10.9; sick days taken 2 average of years in company 4. Examples of claims (once again) Proportion of workers in Company A having their own house is equal to the proportion of such workers in Company B. Average salary in Company A is greater than in Company B. Additional iformation is in Describtion of the Project Data for Company A gender woman woman woman woman woman woman woman woman woman woman woman woman woman woman woman woman woman woman woman woman woman woman woman man man man man man man man man man man man man man man man man man man man man age 22 34 21 40 26 32 50 19 22 23 19 29 28 27 27 19 22 23 19 29 28 27 27 30 31 32 40 19 22 23 19 29 28 34 22 23 19 29 28 35 23 23 37 college degree yes yes yes yes yes yes yes yes no no no no no no no no no no no no no no no yes yes yes yes yes yes yes yes yes no no no no no no no no no no no eye color green green green blue hazel hazel hazel hazel hazel hazel black black black black black black black black black black black black black green green green green blue blue blue hazel hazel hazel hazel hazel hazel hazel hazel hazel hazel hazel black black # of kids wight 0 2 1 1 0 3 0 0 1 1 1 3 2 2 2 0 1 1 1 3 0 2 2 1 0 0 0 0 1 1 0 4 1 1 1 2 2 3 3 2 1 1 1 100 122 210 155 123 210 137 187 121 132 154 176 234 99 145 95 121 176 154 120 234 99 145 129 154 149 134 210 123 167 191 198 210 198 179 210 230 210 200 205 189 199 193 height (in cm) 170 152 136 155 145 170 175 145 161 166 172 170 129 139 178 156 158 159 149 168 168 152 178 179 181 178 188 191 179 181 180 179 169 188 178 190 180 169 185 199 176 175 178 man man man man man man man man man 34 28 28 35 36 23 37 22 41 no no no no no no no no no black black black black black black black black black 2 2 3 2 1 3 1 2 0 199 201 200 205 201 299 193 176 201 179 169 168 170 178 173 172 171 175 political affilaion democrat democrat democrat democrat democrat republican republican republican republican independent independent independent independent independent independent republican republican independent independent independent independent independent independent democrat democrat rpublican rpublican rpublican rpublican rpublican rpublican rpublican rpublican rpublican rpublican rpublican independent independent independent independent independent independent independent salary in thousands #of cars own 55 78 34 98 23 678 123 45 67 123 19 20 45 47 49 23 45 67 122 14 18 46 67 98 56 34 59 45 39 49 120 70 60 50 40 37 48 29 20 59 46 98 34 1 2 1 0 1 1 0 2 2 2 1 1 0 1 1 1 0 2 1 1 0 3 0 0 1 1 1 3 2 2 2 0 1 2 0 1 1 1 3 0 2 2 1 owns a house yes yes yes yes yes no no no no no no no no no no no no no no no yes yes yes yes no no no no no no yes yes yes yes no no no no no no yes yes yes days of vacation taken in 2017 18 5 23 21 21 27 12 14 15 16 17 21 15 7 23 19 20 21 21 21 27 12 14 15 16 17 21 15 7 23 19 20 21 21 27 12 14 15 16 17 21 15 7 independent independent independent independent independent independent independent independent independent 67 82 91 34 87 92 56 78 67 0 0 0 0 1 1 0 1 1 yes no no no no no no yes yes 23 19 20 21 14 23 18 19 24 # of year in the company 3 5 6 2 4 6 1 1 2 4 3 4 6 1 1 2 4 3 4 10 6 1 1 2 4 3 4 5 3 4 2 3 4 10 6 1 1 2 4 3 4 5 3 sick days taken in 2017 1 0 3 0 0 1 1 1 3 2 2 2 0 1 1 1 5 9 12 0 1 1 1 3 0 2 2 1 0 0 20 0 2 2 1 0 0 0 0 1 1 0 4 4 2 3 4 5 2 3 1 15 1 1 1 2 2 3 3 12 3 What distribution should be used for hypotheses tests for mean (we assume that the sample observations are a simple random sample). 1) Use normal distribution if standard deviation of the population is known and population is normally distributed or standard deviation of the population known and sample size greater than 30 2) Use t distribution if standard deviation of the population is not known and population is normally distributed or standard deviation of the population is not known and sample size is greater than 30 3) Use a nonparametric method or bootstrapping if population is not normally distributed and sample size is less than or equal 30 What distribution should be used for hypotheses tests for proportion. (we assume that the sample observations are a simple random sample). Use normal distribution if np>5 and nq>5, where n is a sample size, p the assumed proportion (not the sample proportion) and q=1-p. Original Claim Original claim contains the condition of equal sign (claim is the null hypothesis) Original claim contains the condition of equal sign (claim is the alternative hypothesis) Reject H0 There is sufficient evidence at the alpha level of significance to reject the claim that (insert original claim here) There is sufficient evidence at the alpha level of significance to support the claim that (insert original claim here) Fail to reject H0 There is insufficient evidence at the alpha level of significance to reject the claim that (insert original claim here) There is insufficient evidence at the alpha level of significance to support the claim that (insert original claim here) ...
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Tutor Answer

pallveechem123
School: Boston College

complete work is enclosed herewith.Kindly ask if any query.

Mean with the use of normal distribution
A Z-test for one mean is a hypothesis test that attempts to make a claim about the
population mean. The test has two non-overlapping hypothesis, the Null and the
alternative hypothesis. The Null hypothesis is a statement about the population mean,
under the assumption of no effect, and alternate hypoth...

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Anonymous
Good stuff. Would use again.

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