Many attempts have been made to relate happiness with various factors. One such study relates happiness with age and finds that holding everything else constant, people are least happy when they are...

A-1 and b-2Many attempts have been made to relate happiness with various factors. One such study<br>relates happiness with age and finds that holding everything else constant, people are<br>least happy when they are in their mid-40s (The Economist, December 16, 2010). The<br>accompanying table shows a portion of data on a respondent's age and his/her<br>perception of well-being on a scale from 0 to 100. [You may find it useful to reference<br>the t table.]<br>Happiness<br>Age<br>62<br>49<br>66<br>51<br>72<br>69<br>BClick here for the Excel Data File<br>a-1. Calculate the sample correlation coefficient between age and happiness. (Round<br>intermediate calculations to at least 4 decimal places and final answer to 4 decimal<br>places.)<br>Sample correlation coefficient<br>a-2. Interpret the sample correlation coefficient between age and happiness.<br>The correlation coefficient indicates a positive linear relationship.<br>The correlation coefficient indicates a negative linear relationship.<br>The correlation coefficient indicates no linear relationship.<br>b-1. Specify the competing hypotheses in order to determine whether the population<br>correlation between the age and happiness differs from zero.<br>Ho: Pxy = 0; HA: Pxy = 0<br>Ho: Pxy s 0; HẠ: Pxy > 0<br>Ho: Pxy 2 0; HA: Pxy < 0<br>b-2. Calculate the value of the test statistic. (Round intermediate calculations to at<br>least 4 decimal places and final answer to 3 decimal places.)<br>Test statistic<br>

Extracted text: Many attempts have been made to relate happiness with various factors. One such study relates happiness with age and finds that holding everything else constant, people are least happy when they are in their mid-40s (The Economist, December 16, 2010). The accompanying table shows a portion of data on a respondent's age and his/her perception of well-being on a scale from 0 to 100. [You may find it useful to reference the t table.] Happiness Age 62 49 66 51 72 69 BClick here for the Excel Data File a-1. Calculate the sample correlation coefficient between age and happiness. (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.) Sample correlation coefficient a-2. Interpret the sample correlation coefficient between age and happiness. The correlation coefficient indicates a positive linear relationship. The correlation coefficient indicates a negative linear relationship. The correlation coefficient indicates no linear relationship. b-1. Specify the competing hypotheses in order to determine whether the population correlation between the age and happiness differs from zero. Ho: Pxy = 0; HA: Pxy = 0 Ho: Pxy s 0; HẠ: Pxy > 0 Ho: Pxy 2 0; HA: Pxy < 0="" b-2.="" calculate="" the="" value="" of="" the="" test="" statistic.="" (round="" intermediate="" calculations="" to="" at="" least="" 4="" decimal="" places="" and="" final="" answer="" to="" 3="" decimal="" places.)="" test="">
Happiness<br>Age<br>62<br>49<br>66<br>51<br>67<br>41<br>71<br>65<br>87<br>84<br>60<br>41<br>86<br>83<br>78<br>18<br>59<br>36<br>63<br>61<br>77<br>15<br>90<br>86<br>70<br>73<br>62<br>32<br>93<br>84<br>72<br>23<br>58<br>52<br>73<br>72<br>63<br>63<br>66<br>30<br>78<br>72<br>60<br>47<br>95<br>88<br>72<br>69<br>

Extracted text: Happiness Age 62 49 66 51 67 41 71 65 87 84 60 41 86 83 78 18 59 36 63 61 77 15 90 86 70 73 62 32 93 84 72 23 58 52 73 72 63 63 66 30 78 72 60 47 95 88 72 69

Jun 03, 2022
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