In the accompanying table, r is the tensile force applied to a steel specimen in thousands of pounds, and y is the resulting elongation in thousandths of an inch: r| 1 2 3 4 5 6 y 14 33 40 63 76 85 a ) Construct a 95% confidence interval for ß1, the elongation per thousand pounds of tensile stress. Find a 95% prediction interval for the elongation of a specimen with xo = 3.5 thousand pounds. Test the null hypothesis B, = 0.75 against the alternative hypothesis Bo > 0.75 at the (0.1 level of significance.

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In the accompanying table, x is the tensile force applied to a steel specimen in thousands of
pounds, and y is the resulting elongation in thousandths of an inch:
x| 1 2 3 4 5 6
y 14 33 40 63 76 85
a ) Construct a 95% confidence interval for B1, the elongation per thousand
pounds of tensile stress.
Find a 95% prediction interval for the elongation of a specimen with
xo = 3.5 thousand pounds.
Test the null hypothesis Bo = 0.75 against the alternative hypothesis
Bo > 0.75 at the 0.1 level of significance.
Transcribed Image Text:In the accompanying table, x is the tensile force applied to a steel specimen in thousands of pounds, and y is the resulting elongation in thousandths of an inch: x| 1 2 3 4 5 6 y 14 33 40 63 76 85 a ) Construct a 95% confidence interval for B1, the elongation per thousand pounds of tensile stress. Find a 95% prediction interval for the elongation of a specimen with xo = 3.5 thousand pounds. Test the null hypothesis Bo = 0.75 against the alternative hypothesis Bo > 0.75 at the 0.1 level of significance.
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