Explain what is wrong and why it is wrong.
1. If the claim says that the population mean is greater than 200 and the sample mean is 215, we can say that the claim is true even without a formal test.
2. A value of r = 0.851 shows that there is very little linear relationship between the two variables being compared.
3. A value of r = 0.158 shows that there is very little relationship of any kind between the variables being compared.
4. If a correlation coefficient of r = 0.642 was found between two variables in a sample of paired data that were measured in feet, the value of r would change by a factor of twelve if the data were converted to inches and r was computed again.
5. Using data from Boston, Massachusetts, a test of independence is run on the claim that ice cream sales per month and the number of car wrecks per month are independent. The claim is rejected.
Using number of car wrecks as the x variable and ice cream sales as the y variable, an r value of r=0.923 is then computed and shown to exceed the critical value for this data. The data is double checked and verified. This shows that car wrecks cause ice cream sales.