5)Consider the following hypotheses statement for the average life span of a laptop battery: H₀: = 4 years, H_a: 4 years. If a sample of laptop batteries, consisting of 60 items, showed the sample average lifespan of 4.1 years, and the standard deviation of the cost of all such computer parts in the population is 0.3 years, what is the p-value for the test statistic?Use Excel and round your answer to 4 decimal places.

ANS. 0.0098

6)Consider the following hypotheses statement for the average range of an electric vehicle: H₀: =307.17 km, H_a: 307.17 km. A sample consisting of 63 vehicles showed the sample average range of 294.94 km. Unfortunately the researchers did not know the standard deviation of the population, but the standard deviation in the sample appeared to be 36.37 years. What is the test statistic?Round your answer to 2 decimal places.

ANS. -2.67

7)If the coefficient of determination is 0.27 and the total sum of squares is 565, find the sum of squares due to regression.Round your answer to 2 decimals.

ANS. 152.55

8) Alpha Corp. believed that their competitors, Betta Corp., are not delivering goods as fast as they claimed. Alpha decided to test this hypothesis. Following the hypothesis testing, Alpha found that their suspicion was not supported, and accepted the hypothesis that Betta are fast as they claim. However, the fact of the matter was that Betta was slower than they claimed. Alpha Corp. made the following error:

		An example of below 90% acceptable judgement
		Type I error
		Mixed-type error
		Type II error
		An example of 90% poor judgement

Are these correct?