Use the given degree of confidence and sample data to find a confidence interval for the population standard deviation σ. Assume that the population has a normal distribution. 23) Weights of eggs: 95% confidence; n = 26, x= 1.51 oz, s = 0.41 oz 23)

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Chapter2: Second-order Linear Odes
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Use the given degree of confidence and sample data to find a confidence interval for the population standard deviation
σ. Assume that the population has a normal distribution.
23) Weights of eggs: 95% confidence; n = 26, x= 1.51 oz, s = 0.41 oz
23)
Suppose you will perform a test to determine whether there is sufficient evidence to support a claim of a linear
correlation between two variables. Find the critical values of r given the number of pairs of data n and the significance
level a.
24) n = 12, a = 0.01
24)
Find the value of the linear correlation coefficient r.
x 57 53 59 61 53 56 60
25)
25)
y 156 164 163 177 159 175 151
Use the given data to find the equation of the regression line. Round the final values to three significant digits, if
necessary.
x 3 5 7 15 16
26)
26)
y 8 11 7 14 20
Use the given data to find the best predicted value of the response variable.
27) Eight pairs of data yield r = 0.708 and the regression equation y = 55.8 +2.79x. Also,
y=71.125. What is the best predicted value of y for x = 3.6?
27).
ន
Transcribed Image Text:Use the given degree of confidence and sample data to find a confidence interval for the population standard deviation σ. Assume that the population has a normal distribution. 23) Weights of eggs: 95% confidence; n = 26, x= 1.51 oz, s = 0.41 oz 23) Suppose you will perform a test to determine whether there is sufficient evidence to support a claim of a linear correlation between two variables. Find the critical values of r given the number of pairs of data n and the significance level a. 24) n = 12, a = 0.01 24) Find the value of the linear correlation coefficient r. x 57 53 59 61 53 56 60 25) 25) y 156 164 163 177 159 175 151 Use the given data to find the equation of the regression line. Round the final values to three significant digits, if necessary. x 3 5 7 15 16 26) 26) y 8 11 7 14 20 Use the given data to find the best predicted value of the response variable. 27) Eight pairs of data yield r = 0.708 and the regression equation y = 55.8 +2.79x. Also, y=71.125. What is the best predicted value of y for x = 3.6? 27). ន
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