Question 15 Test the claim that the mean temperature (in degrees F) in Santa Maria is less than 70.1. A random sample of temperatures at 15 locations yields a mean temperature of 69.56 with a standard deviation of 1.5. Use or = 0.10. You may assume that temperatures are normally distributed. 1. The sample size restriction for this test is: None needed since population is normally distributed O Need n 2 30 Need at least 5 successes and 5 failures The hypotheses are: O Ho: u 70.1 O Ho:u = 70.1; Ha:u # 70.1 O Ho:u 2 70.1; Ha: M 70.1 2. This is a O left right two tailed test and the distribution used is O Z since o known OZ since testing a proportion O T since o not knownThe Degrees of Freedom are '13:? WA since this is a Z-test C- 14 C- 15 3. The STS {round to 3 decimals} is: The P-value {round to 4 decimals} is: 4. The decision at or = 0.10 is: '3' Do not reject Ho since P > o: '33:? Reject Ho since P I\"? a '33:? Do not reject Ho since P :1 a: '33:? Reject Ho since P E or The conclusion is: '3' There is sufficient evidence to conclude that the mean temperature in Santa Maria is not less than 70.1 degrees [133' There is sufficient evidence to conclude that the mean temperature in Santa Maria is less than 70.1 degrees '33:? There is insufficient evidence to conclude that the mean temperature in Santa Maria is not less than 70.1 degrees {3' There is insufficient evidence to conclude that the the mean temperature in Santa Maria is less than 70.1 degrees