**Instructions:**Find the critical value \( t_c \) for the confidence level \( c = 0.98 \) and sample size \( n = 16 \).**Step-by-step guide:**1. Determine the degrees of freedom (d.f.): - The degrees of freedom are calculated as \( n - 1 \). - For a sample size \( n = 16 \), the degrees of freedom is \( 16 - 1 = 15 \).2. Locate the appropriate value in the t-distribution table: - Find the row corresponding to d.f. = 15. - Move along this row to the column under the confidence level \( c = 0.98 \).3. Extract the critical value: - The critical value \( t_c \) for d.f. = 15 and \( c = 0.98 \) is 2.602.Finally, round the critical value to the nearest thousandth if necessary.**Explanation of the t-Distribution Table:**The table is structured with degrees of freedom (d.f.) listed in the leftmost column, ranging from 1 to 25. The top row indicates the level of confidence \( c \) for two-tailed tests. For each combination of d.f. and confidence level, a specific critical value is listed. This value indicates the t-score threshold for statistical analysis under a given confidence interval.**Solution:**\( t_c = 2.602 \)

given data, c=0.98α=1-0.98=0.02n=16df=n-1=16-1=15tc=?

Answered: Find the critical value to for the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Find the critical value to for the confidence level c = 0.98 and sample size n = 16. Click the icon to view the t-distribution table. (Round to the nearest thousandth as needed.) t-Distribution Tab d.f. Level of confidence, c One tail, a Two tails, a 0.8 0.1 0.2