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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.


Definitions:

Central Limit Theorem

The Central Limit Theorem is a statistical theory that states that the sampling distribution of the sample mean approaches a normal distribution, regardless of the population's distribution, given a large enough sample size.

Population

All members or elements under consideration in statistical studies make up this group.

Standard Error

A measure of the statistical accuracy of an estimate, calculated from the standard deviation of a sampling distribution.

Sample Size

The number of observations or replicates included in a statistical sample, crucial for the reliability and accuracy of the study or experiment.

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