Question 4 1 pts An engineer at an aluminum castings plant assesses the relationship between the hydrogen content and the strength of aluminum alloy castings. The engineer collected a random sample of 14 castings and measured the hydrogen content and strength. The engineer used the data to test the claim that there is a linear relationship between the hydrogen content and the strength of these castings using the following hypotheses: HO:B=O Hazl30 The computer output is shown below: Coefcients Model Summary 0.211235 62.43% 59.30% 46.17% Which of the following represents the sample slope? \fQuestion 5 1 pts A realtor wanted to investigate whether there is a linear relationship between the number of square feet in a house and the selling price. The realtor collected data on 49 randomly selected homes for sale in Virginia Beach and used the data to test the claim that there is a linear H : B = 0 o 1 Hazlan relationship. The following hypotheses were used to test the claim: The test yielded a test statistic of 2.07 and a corresponding p-value of 0.04496. Which of the following is the correct interpretation of the p-value? Q If there is not a linear relationship between the number of square feet and the selling price, the probability of observing a test statistic of 2.07 or greater is 0.04496. 0 If there is not a linear relationship between the number of square feet and the selling price, the probability of observing a test statistic of 2.07 is 0.04496. 0 If there is a linear relationship between the number of square feet and the selling price, the probability of observing a test statistic at least as extreme as 2.07 is 0.044%. Q If there is not a linear relationship between the number of square feet and the selling price, the probability of observing a test statistic at least as extreme as 2.07 is 0.044%. Question 6 1 pts A regional manager for a grocery store chain is investigating the time customers spend checking out using the self-checkout lines. He collects a random sample of 31 patrons using the self- checkout line and records the number of items in their cart and the time (in minutes) it takes each customer to check out. The least-squares regression model was calculated as: Predicted Checkout time (minutes) = 2.095+0.12(number of items) The standard error for the slope was calculated as 0.008. If the conditions for inference are met, H : B = 0 which of the following is closest to the value of the test statistic to test the hypotheses Ho' 3 1 g 0 a- 1 ? O t=0.12 O t=261.875 O t=15 O t=0.008 Question 7 1 pts A researcher wanted to be able to predict the bacterial concentration in subsurface water given the bacterial concentration in the surface water. The researcher investigated whether there is a positive linear relationship between bacterial concentration in surface and subsurface water at a significance level or = 0.05 . The researcher tested the following hypotheses: Ho: B1= 0 Ha: B1>0 The p-value for the test was p=0.106. Assuming all conditions for inference are met, which of the following is the correct conclusion for this test? The null hypothesis is rejected p> 0.05. There is sufficient statistical evidence to suggest that there is a positive linear relationship between bacterial concentration in surface and subsurface water. The null hypothesis is not rejected, p> 0.05. There is sufficient statistical evidence to suggest that there is not a positive linear relationship between bacterial concentration in surface and subsurface water. O The null hypothesis is rejected p> 0.05. There is not sufficient statistical evidence to suggest that there is a positive linear relationship between bacterial concentration in surface and subsurface water. O The null hypothesis is not rejected, p> 0.05. There is not sufficient statistical evidence to suggest that there is a positive linear relationship between bacterial concentration in surface and subsurface water