You are testing the null hypothesis that there is no linear relationship between two variables, X and Y. From your sample of n = 18, you determine that b, = 3.7 and S, = 1.3. a. What is the value of...


You are testing the null hypothesis that there is no linear relationship between two variables, X and Y. From your sample of n = 18, you determine that b, = 3.7 and S, = 1.3.<br>a. What is the value of tsTAT?<br>b. At the a = 0.05 level of significance, what are the critical values?<br>c. Based on your answers to (a) and (b), what statistical decision should you make?<br>d. Construct a 95% confidence interval estimate of the population slope, B1.<br>a. What are the hypotheses to test?<br>O A. Ho: B1 s0<br>H;: B, >0<br>O B. Ho: B1 +0<br>H;: B, = 0<br>С. Но В120<br>H;: B, <0<br>D. Ho: B1 =0<br>H;: B1 #0<br>tSTAT =<br>(Round to two decimal places as needed.)<br>b. The lower critical value is<br>The upper critical value is<br>(Round to four decimal places as needed.)<br>c. What statistical decision should you make?<br>A. Since tsTAT is greater than the upper critical value, do not reject the null hypothesis.<br>B. Since tSTAT is between the two critical values, reject the null hypothesis.<br>C. Since tsTAT is greater than the upper critical value, reject the null hypothesis.<br>D. Since tSTAT is between the two critical values, do not reject the null hypothesis.<br>d. The 95% confidence interval estimate of the population slope is < B,s:<br>(Round to two decimal places as needed.)<br>O O<br>

Extracted text: You are testing the null hypothesis that there is no linear relationship between two variables, X and Y. From your sample of n = 18, you determine that b, = 3.7 and S, = 1.3. a. What is the value of tsTAT? b. At the a = 0.05 level of significance, what are the critical values? c. Based on your answers to (a) and (b), what statistical decision should you make? d. Construct a 95% confidence interval estimate of the population slope, B1. a. What are the hypotheses to test? O A. Ho: B1 s0 H;: B, >0 O B. Ho: B1 +0 H;: B, = 0 С. Но В120 H;: B, <0 d.="" ho:="" b1="0" h;:="" b1="" #0="" tstat="(Round" to="" two="" decimal="" places="" as="" needed.)="" b.="" the="" lower="" critical="" value="" is="" the="" upper="" critical="" value="" is="" (round="" to="" four="" decimal="" places="" as="" needed.)="" c.="" what="" statistical="" decision="" should="" you="" make?="" a.="" since="" tstat="" is="" greater="" than="" the="" upper="" critical="" value,="" do="" not="" reject="" the="" null="" hypothesis.="" b.="" since="" tstat="" is="" between="" the="" two="" critical="" values,="" reject="" the="" null="" hypothesis.="" c.="" since="" tstat="" is="" greater="" than="" the="" upper="" critical="" value,="" reject="" the="" null="" hypothesis.="" d.="" since="" tstat="" is="" between="" the="" two="" critical="" values,="" do="" not="" reject="" the="" null="" hypothesis.="" d.="" the="" 95%="" confidence="" interval="" estimate="" of="" the="" population="" slope="" is="">< b,s:="" (round="" to="" two="" decimal="" places="" as="" needed.)="" o="">

Jun 11, 2022
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