You may need to use the appropriate technology to answer this question. Consider the following hypothesis test. \\[ \\begin{array}{l} H_{0}: \\mu=100 \\\\ H_{a}: \\mu \ eq 100 \\end{array} \\] A sample of 65 is used. Identify the \\( p \\)-value and state your conclusion for each of the following sample results. Use \\( a \\) = 0.05 . (a) \\( \\bar{x}=103 \\) and \\( s=11.4 \\) Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four dedimal places.) \\( p \\)-value \\( = \\) State your conclusion. Do not reject \\( H_{0} \\). There is insufficient evidence to conclude that \\( \\mu \ eq 100 \\). Reject \\( H_{0} \\). There is sufficient evidence to condude that \\( \\mu \ eq 100 \\). Reject \\( H_{0} \\). There is insufficient evidence to conclude that \\( \\mu=100 \\). Do not reject \\( H_{0} \\). There is sufficient evidence to conclude that \\( \\mu \ eq 100 \\). (b) \\( \\bar{x}=96.5 \\) and \\( s=11.0 \\) Find the value of the test statistic. (Round your answer to three dedmal places.) Find the \\( p \\)-value. (Round your answer to four decimal places.) p-value : State vour conclusion. (b) \\( \\bar{x}=96.5 \\) and \\( s=11.0 \\) Find the value of the test statistic. (Round your answer to three decimal places.) Find the \\( p \\)-value. (Round your answer to four decimal places.) \\( \ ho \\)-value \\( = \\) State your conclusion. Do not reject \\( H_{0} \\). There is insufficient evidence to conclude that \\( \\mu \ eq 100 \\). Reject \\( H_{0} \\). There is sufficient evidence to conclude that \\( \\mu \ eq 100 \\). Reject \\( H_{0} \\). There is insufficient evidence to conclude that \\( \\mu \ eq 100 \\). Do not reject \\( H_{0} \\). There is sufficient evidence to conclude that \\( \\mu \ eq 100 \\). (c) \\( \\bar{x}=102 \\) and \\( s=10.4 \\) Find the value of the test statistic. (Round your answer to three decimal places.) Find the \\( p \\)-value. (Round your answer to four decimal places.) \\( p \\)-value \\( = \\) State your conclusion. Do not reject \\( H_{0} \\). There is insufficient evidence to conclude that \\( \\mu \ eq 100 \\). Reject \\( H_{0} \\). There is sufficient evidence to conclude that \\( \\mu \ eq 100 \\). Reject \\( H_{0} \\). There is insufficient evidence to conclude that \\( \\mu \ eq 100 \\). Do not reject \\( H_{0} \\). There is sufficient evidence to conclude that \\( \\mu \ eq 100 \\)