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An experiment was performed on a certain metal to determine if the strength is a function of heating time.Results based on 10 metal sheets are given below.Use the simple linear regression model.  An experiment was performed on a certain metal to determine if the strength is a function of heating time.Results based on 10 metal sheets are given below.Use the simple linear regression model.   = 30   = 104   = 40   = 178   = 134 Find the t statistic and test H<sub>0</sub>: B<sub>1</sub>  \le  0 vs.H<sub>a</sub>: B<sub>1</sub> > 0 at  \alpha  = .05. A) t = 1.414,fail to reject null hypothesis B) t = 6.00,reject null hypothesis C) t = 5.29,reject null hypothesis D) t = 2.00,reject null hypothesis = 30  An experiment was performed on a certain metal to determine if the strength is a function of heating time.Results based on 10 metal sheets are given below.Use the simple linear regression model.   = 30   = 104   = 40   = 178   = 134 Find the t statistic and test H<sub>0</sub>: B<sub>1</sub>  \le  0 vs.H<sub>a</sub>: B<sub>1</sub> > 0 at  \alpha  = .05. A) t = 1.414,fail to reject null hypothesis B) t = 6.00,reject null hypothesis C) t = 5.29,reject null hypothesis D) t = 2.00,reject null hypothesis = 104  An experiment was performed on a certain metal to determine if the strength is a function of heating time.Results based on 10 metal sheets are given below.Use the simple linear regression model.   = 30   = 104   = 40   = 178   = 134 Find the t statistic and test H<sub>0</sub>: B<sub>1</sub>  \le  0 vs.H<sub>a</sub>: B<sub>1</sub> > 0 at  \alpha  = .05. A) t = 1.414,fail to reject null hypothesis B) t = 6.00,reject null hypothesis C) t = 5.29,reject null hypothesis D) t = 2.00,reject null hypothesis = 40  An experiment was performed on a certain metal to determine if the strength is a function of heating time.Results based on 10 metal sheets are given below.Use the simple linear regression model.   = 30   = 104   = 40   = 178   = 134 Find the t statistic and test H<sub>0</sub>: B<sub>1</sub>  \le  0 vs.H<sub>a</sub>: B<sub>1</sub> > 0 at  \alpha  = .05. A) t = 1.414,fail to reject null hypothesis B) t = 6.00,reject null hypothesis C) t = 5.29,reject null hypothesis D) t = 2.00,reject null hypothesis = 178  An experiment was performed on a certain metal to determine if the strength is a function of heating time.Results based on 10 metal sheets are given below.Use the simple linear regression model.   = 30   = 104   = 40   = 178   = 134 Find the t statistic and test H<sub>0</sub>: B<sub>1</sub>  \le  0 vs.H<sub>a</sub>: B<sub>1</sub> > 0 at  \alpha  = .05. A) t = 1.414,fail to reject null hypothesis B) t = 6.00,reject null hypothesis C) t = 5.29,reject null hypothesis D) t = 2.00,reject null hypothesis = 134 Find the t statistic and test H0: B1 \le 0 vs.Ha: B1 > 0 at α\alpha = .05.

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Definitions:

Standard Deviation

A measure of the dispersion or variability around the mean in a set of data, indicating how spread out the data points are.

Mode

The value or values that occur most frequently in a data set.

Skewed

A term describing a distribution that is asymmetric, leaning towards one side, either to the left or right, indicating a deviation from the normal distribution.

Sample Mean

The average value calculated from a sample, used as an estimate of the population mean.

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