Please explain briefly through showing equation steps DO NOT Except explains in words like a paragraph or need three sentences and above to explain!!

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22. On the basis of a sample of size 9 from a population, one finds that a 95% confi- dence interval for the population mean / is (63, 76). The width of this interval is 76 - 63 = 13. What is the width of the 98% confidence interval for /? Round your answer to two decimal places. (If none of the choices given below gives the exact answer, please pick the closest value.) 21.0 (2) 29.98 (b) 37.65 (c ) 16.33 (d) 10.35 (c) 14.57 23. A restaurant chain collected data on total fat (denoted by fat) in grams and the protein content in grams for various items on their menu. Some summary statistics of this data are shown below: protein fat Mean 33.7 35.1 Standard deviation 10 9.2 The least-squares regression cquation for predicting total fact from protein content is fat = 8.1 + 0.8 x protein. Calculate the correlation between protein and fat. 0.74 0.54 0.92 0.96 0.870.54 0.92 0.96 0.87 24. If the slope or inc regression line of y on a is calculated to be -48.6 and the y-intercept -37.6 then the predicted valuc of y when x is 3 is: (You may assume that x = 3 is within the range of the values of r). -183.4 108.2 -108.2 -145.8 -161.4