{"id":698,"date":"2021-08-24T11:18:31","date_gmt":"2021-08-24T15:18:31","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/statspsych\/?post_type=chapter&#038;p=698"},"modified":"2021-09-01T11:03:01","modified_gmt":"2021-09-01T15:03:01","slug":"homework-chapter-6","status":"publish","type":"chapter","link":"https:\/\/pressbooks.bccampus.ca\/statspsych\/chapter\/homework-chapter-6\/","title":{"raw":"Homework Chapter 6","rendered":"Homework Chapter 6"},"content":{"raw":"<strong>Assignment:<\/strong>\r\n\r\n<em>Objective: Apply concepts Repeated Measures Design<\/em>\r\n<ol>\r\n \t<li>A researcher is contemplating various ways to design their study examining the effects of irrigation on crop yield. The first possible design would be to take a sample of yields from plots with a standard irrigation system and compare them to the known yield from plots without irrigation in the same region. Another would be to sample irrigated and non-irrigation crop yields from various regions and compare them, ensuring the plots are matched on the variable of region. A final option would be to sample crop yields from the same plots first before and then after installation of a standard irrigation system and compare the yields prior to irrigation to those following irrigation. The research design that would best represent repeated measures design is ______________.<\/li>\r\n<\/ol>\r\n<em>\u00a0<\/em>\r\n\r\n<em>Objective: Apply techniques Conducting a Dependent Means t-test<\/em>\r\n<ol start=\"2\">\r\n \t<li>A researcher predicts crop yields sampled from the same plots first before and then after installation of a standard irrigation system will differ. The scores for the research samples before and after irrigation are presented in the table below, in units (bushels per hectare; <em>N<\/em>=28). Conduct a hypothesis test of the researcher\u2019s prediction with significance level .10. The populations should be defined as ______________.<\/li>\r\n<\/ol>\r\n<table class=\"grid aligncenter\">\r\n<tbody>\r\n<tr>\r\n<td>Plot<\/td>\r\n<td>Before irrigation<\/td>\r\n<td>After irrigation<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><em>1<\/em><\/td>\r\n<td>163<\/td>\r\n<td>208<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><em>2<\/em><\/td>\r\n<td>131<\/td>\r\n<td>198<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><em>3<\/em><\/td>\r\n<td>160<\/td>\r\n<td>208<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><em>4<\/em><\/td>\r\n<td>183<\/td>\r\n<td>198<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><em>5<\/em><\/td>\r\n<td>168<\/td>\r\n<td>186<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><em>6<\/em><\/td>\r\n<td>135<\/td>\r\n<td>177<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><em>7<\/em><\/td>\r\n<td>179<\/td>\r\n<td>173<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><em>8<\/em><\/td>\r\n<td>143<\/td>\r\n<td>203<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><em>9<\/em><\/td>\r\n<td>161<\/td>\r\n<td>203<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><em>10<\/em><\/td>\r\n<td>154<\/td>\r\n<td>192<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><em>11<\/em><\/td>\r\n<td>162<\/td>\r\n<td>186<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><em>12<\/em><\/td>\r\n<td>163<\/td>\r\n<td>185<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><em>13<\/em><\/td>\r\n<td>166<\/td>\r\n<td>176<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><em>14<\/em><\/td>\r\n<td>181<\/td>\r\n<td>184<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><em>15<\/em><\/td>\r\n<td>132<\/td>\r\n<td>199<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><em>16<\/em><\/td>\r\n<td>149<\/td>\r\n<td>197<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><em>17<\/em><\/td>\r\n<td>169<\/td>\r\n<td>199<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><em>18<\/em><\/td>\r\n<td>148<\/td>\r\n<td>202<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><em>19<\/em><\/td>\r\n<td>169<\/td>\r\n<td>188<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><em>20<\/em><\/td>\r\n<td>158<\/td>\r\n<td>200<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><em>21<\/em><\/td>\r\n<td>143<\/td>\r\n<td>201<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><em>22<\/em><\/td>\r\n<td>150<\/td>\r\n<td>191<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><em>23<\/em><\/td>\r\n<td>178<\/td>\r\n<td>194<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><em>24<\/em><\/td>\r\n<td>147<\/td>\r\n<td>185<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><em>25<\/em><\/td>\r\n<td>170<\/td>\r\n<td>202<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><em>26<\/em><\/td>\r\n<td>171<\/td>\r\n<td>178<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><em>27<\/em><\/td>\r\n<td>169<\/td>\r\n<td>212<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><em>28<\/em><\/td>\r\n<td>180<\/td>\r\n<td>180<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n&nbsp;\r\n<ol start=\"3\">\r\n \t<li>For the research scenario described in problem 2, the hypotheses should be defined as ______________.<\/li>\r\n \t<li>For the research scenario described in problem 2, the characteristics of the comparison distribution should be defined as ______________.<\/li>\r\n \t<li>For the research scenario described in problem 2, the cutoff t score should be ______________.<\/li>\r\n \t<li>For the research scenario described in problem 2, the calculated t-test result should be ______________.<\/li>\r\n \t<li>For the research scenario described in problem 2, the hypothesis test decision should be ______________.<\/li>\r\n \t<li>For the research scenario described in problem 2, the p-value associated with the t-test result is _____________.<\/li>\r\n \t<li>For the research scenario described in problem 2, the conclusion as written in a published results section could be ______________.<\/li>\r\n<\/ol>\r\n<em>\u00a0<\/em>\r\n\r\n<em>Objective: Apply concepts<\/em><em> Decision Tree<\/em>\r\n<ol start=\"10\">\r\n \t<li>The dependent means t-test is appropriate to use when ______________.<\/li>\r\n<\/ol>","rendered":"<p><strong>Assignment:<\/strong><\/p>\n<p><em>Objective: Apply concepts Repeated Measures Design<\/em><\/p>\n<ol>\n<li>A researcher is contemplating various ways to design their study examining the effects of irrigation on crop yield. The first possible design would be to take a sample of yields from plots with a standard irrigation system and compare them to the known yield from plots without irrigation in the same region. Another would be to sample irrigated and non-irrigation crop yields from various regions and compare them, ensuring the plots are matched on the variable of region. A final option would be to sample crop yields from the same plots first before and then after installation of a standard irrigation system and compare the yields prior to irrigation to those following irrigation. The research design that would best represent repeated measures design is ______________.<\/li>\n<\/ol>\n<p><em>\u00a0<\/em><\/p>\n<p><em>Objective: Apply techniques Conducting a Dependent Means t-test<\/em><\/p>\n<ol start=\"2\">\n<li>A researcher predicts crop yields sampled from the same plots first before and then after installation of a standard irrigation system will differ. The scores for the research samples before and after irrigation are presented in the table below, in units (bushels per hectare; <em>N<\/em>=28). Conduct a hypothesis test of the researcher\u2019s prediction with significance level .10. The populations should be defined as ______________.<\/li>\n<\/ol>\n<table class=\"grid aligncenter\">\n<tbody>\n<tr>\n<td>Plot<\/td>\n<td>Before irrigation<\/td>\n<td>After irrigation<\/td>\n<\/tr>\n<tr>\n<td><em>1<\/em><\/td>\n<td>163<\/td>\n<td>208<\/td>\n<\/tr>\n<tr>\n<td><em>2<\/em><\/td>\n<td>131<\/td>\n<td>198<\/td>\n<\/tr>\n<tr>\n<td><em>3<\/em><\/td>\n<td>160<\/td>\n<td>208<\/td>\n<\/tr>\n<tr>\n<td><em>4<\/em><\/td>\n<td>183<\/td>\n<td>198<\/td>\n<\/tr>\n<tr>\n<td><em>5<\/em><\/td>\n<td>168<\/td>\n<td>186<\/td>\n<\/tr>\n<tr>\n<td><em>6<\/em><\/td>\n<td>135<\/td>\n<td>177<\/td>\n<\/tr>\n<tr>\n<td><em>7<\/em><\/td>\n<td>179<\/td>\n<td>173<\/td>\n<\/tr>\n<tr>\n<td><em>8<\/em><\/td>\n<td>143<\/td>\n<td>203<\/td>\n<\/tr>\n<tr>\n<td><em>9<\/em><\/td>\n<td>161<\/td>\n<td>203<\/td>\n<\/tr>\n<tr>\n<td><em>10<\/em><\/td>\n<td>154<\/td>\n<td>192<\/td>\n<\/tr>\n<tr>\n<td><em>11<\/em><\/td>\n<td>162<\/td>\n<td>186<\/td>\n<\/tr>\n<tr>\n<td><em>12<\/em><\/td>\n<td>163<\/td>\n<td>185<\/td>\n<\/tr>\n<tr>\n<td><em>13<\/em><\/td>\n<td>166<\/td>\n<td>176<\/td>\n<\/tr>\n<tr>\n<td><em>14<\/em><\/td>\n<td>181<\/td>\n<td>184<\/td>\n<\/tr>\n<tr>\n<td><em>15<\/em><\/td>\n<td>132<\/td>\n<td>199<\/td>\n<\/tr>\n<tr>\n<td><em>16<\/em><\/td>\n<td>149<\/td>\n<td>197<\/td>\n<\/tr>\n<tr>\n<td><em>17<\/em><\/td>\n<td>169<\/td>\n<td>199<\/td>\n<\/tr>\n<tr>\n<td><em>18<\/em><\/td>\n<td>148<\/td>\n<td>202<\/td>\n<\/tr>\n<tr>\n<td><em>19<\/em><\/td>\n<td>169<\/td>\n<td>188<\/td>\n<\/tr>\n<tr>\n<td><em>20<\/em><\/td>\n<td>158<\/td>\n<td>200<\/td>\n<\/tr>\n<tr>\n<td><em>21<\/em><\/td>\n<td>143<\/td>\n<td>201<\/td>\n<\/tr>\n<tr>\n<td><em>22<\/em><\/td>\n<td>150<\/td>\n<td>191<\/td>\n<\/tr>\n<tr>\n<td><em>23<\/em><\/td>\n<td>178<\/td>\n<td>194<\/td>\n<\/tr>\n<tr>\n<td><em>24<\/em><\/td>\n<td>147<\/td>\n<td>185<\/td>\n<\/tr>\n<tr>\n<td><em>25<\/em><\/td>\n<td>170<\/td>\n<td>202<\/td>\n<\/tr>\n<tr>\n<td><em>26<\/em><\/td>\n<td>171<\/td>\n<td>178<\/td>\n<\/tr>\n<tr>\n<td><em>27<\/em><\/td>\n<td>169<\/td>\n<td>212<\/td>\n<\/tr>\n<tr>\n<td><em>28<\/em><\/td>\n<td>180<\/td>\n<td>180<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&nbsp;<\/p>\n<ol start=\"3\">\n<li>For the research scenario described in problem 2, the hypotheses should be defined as ______________.<\/li>\n<li>For the research scenario described in problem 2, the characteristics of the comparison distribution should be defined as ______________.<\/li>\n<li>For the research scenario described in problem 2, the cutoff t score should be ______________.<\/li>\n<li>For the research scenario described in problem 2, the calculated t-test result should be ______________.<\/li>\n<li>For the research scenario described in problem 2, the hypothesis test decision should be ______________.<\/li>\n<li>For the research scenario described in problem 2, the p-value associated with the t-test result is _____________.<\/li>\n<li>For the research scenario described in problem 2, the conclusion as written in a published results section could be ______________.<\/li>\n<\/ol>\n<p><em>\u00a0<\/em><\/p>\n<p><em>Objective: Apply concepts<\/em><em> Decision Tree<\/em><\/p>\n<ol start=\"10\">\n<li>The dependent means t-test is appropriate to use when 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