Question

An Independent random sample is selected from an approximately normal population with unknown standard deviation. Find the degrees of freedom and the critical t-value ($t^*$) for the given sample size and confidence level. (a) $n = 8$, CL = 90% degrees of freedom critical value (b) $n = 23$, CL = 98% degrees of freedom critical value (c) $n = 35$, CL = 95% degrees of freedom critical value (d) $n = 13$, CL = 99% degrees of freedom critical value 7 1.895

          An Independent random sample is selected from an approximately normal population with unknown standard deviation. Find the degrees of freedom and the critical t-value ($t^*$) for the given sample size and confidence level.
(a) $n = 8$, CL = 90%
degrees of freedom
critical value
(b) $n = 23$, CL = 98%
degrees of freedom
critical value
(c) $n = 35$, CL = 95%
degrees of freedom
critical value
(d) $n = 13$, CL = 99%
degrees of freedom
critical value
7
1.895
        
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An Independent random sample is selected from an approximately normal population with unknown standard deviation. Find the degrees of freedom and the critical t-value (t^*) for the given sample size and confidence level.
(a) n = 8, CL = 90%
degrees of freedom
critical value
(b) n = 23, CL = 98%
degrees of freedom
critical value
(c) n = 35, CL = 95%
degrees of freedom
critical value
(d) n = 13, CL = 99%
degrees of freedom
critical value
7
1.895

Added by Donna S.

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Elementary Statistics a Step by Step Approach
Elementary Statistics a Step by Step Approach
Allan G. Bluman 9th Edition
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An independent random sample is selected from an approximately normal population with unknown standard deviation. Find the degrees of freedom and the critical t-value (for the given sample size and confidence level). Degrees of freedom: 34 Critical value: 2.032 Degrees of freedom: 34 Critical value: 2.032 Degrees of freedom: 12 Critical value: 2.681
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Transcript

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00:01 Hi, i'm david and i'm here to help you answer your question.
00:03 Now let me bring up your question here.
00:06 In the question here, given the sample size and the confidence level, we need to find the degree of freedom and the critical value to find the confidence interval.
00:23 Therefore, the first question 1, we will have the n equal to the 22 and the c equal to the 90.
00:32 And first of all we have the degree of freedom equal to n minus 1 and it will equal to the 22 minus 1 and equal to the 21 with the t star it just equal to the 21 degree freedom and under 90 % confidence and 5 equal to the 10 % and then divided by 2 it will equal to the 5 % which is equal to the 1005 the question asked me to use up to the 4 decimal places i need to use a calculator to compute this value.
01:07 So we have the 21 degree freedom and under level 0 .05.
01:15 And then we get equal to the 1 .7 to 07...
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