As a part of her studies, Renee gathered data on the heights of 20 professional soccer players. She works through the testing procedure: H0:μ≥75; Ha:μ<75 α=0.04 The test statistic is t0=x¯−μ0sn√=−2.445. The critical value is −t0.04=−1.85. At the 4% significance level, does the data provide sufficient evidence to conclude that the mean heights of soccer players is less than 75 inches?   Select the correct answer below:   We should reject the null hypothesis because t0tα. So, at the 4% significance level, the data provide sufficient evidence to conclude that the average heights of soccer players is less than 75 inches.   We should not reject the null hypothesis because t0>tα. So, at the 4% significance level, the data do not provide sufficient evidence to conclude that the average heights of soccer players is less than 75 inches.

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As a part of her studies, Renee gathered data on the heights of 20 professional soccer players. She works through the testing procedure:

  • H0:μ≥75; Ha:μ<75
  • α=0.04
  • The test statistic is t0=x¯−μ0sn√=−2.445.
  • The critical value is −t0.04=−1.85.
At the 4% significance level, does the data provide sufficient evidence to conclude that the mean heights of soccer players is less than 75 inches?

 

Select the correct answer below:

 

We should reject the null hypothesis because t0<tα. So, at the 4% significance level, the data provide sufficient evidence to conclude that the average heights of soccer players is less than 75 inches.

 

We should not reject the null hypothesis because t0<tα. So, at the 4% significance level, the data do not provide sufficient evidence to conclude that the average heights of soccer players is less than 75 inches.

 

We should reject the null hypothesis because t0>tα. So, at the 4% significance level, the data provide sufficient evidence to conclude that the average heights of soccer players is less than 75 inches.

 

We should not reject the null hypothesis because t0>tα. So, at the 4% significance level, the data do not provide sufficient evidence to conclude that the average heights of soccer players is less than 75 inches.

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