MTH-111-vl Test 4 Presen NAME: Part 1: Hypothesis Testing: For each of the following, please show the following to receive full & credit. (Answers without these steps will not be given credit) CO (a) Draw a curve and label each part to reflect a left, right, or two tailed test CL (b) Claim: Show in symbols Ho, Ha (c) Critical value- find the zo or to values U (d) What are the standardized test statistic z or t, and the P values from the calculator? NAME (e) Comparing the critical values, o value, against the calculator results, state whether you reject, or fail to reject the null hypothesis SCHOOL (f) Interpret the decision in the context of the original claim. K A manufacturer of sprinkler systems designed for fire protection claims that the average activating TIME FROM temperature is at least 135. F. To test this claim, you randomly select a sample of 32 systems and find TO the mean activation temperature to be 133. F. Assume the population standard deviation is 3.3.F. At N M SUBJECT a =0.10, do you have enough evidence to reject the manufacturer's claim? ROOM MONDAY 2 Claim: u = 40; a = 0.05; 0 = 1.97. Sample statistics: X = 39.2, n = 25. Assume the population is normally distributed. INSTRUCTOR A company claims that the mean battery life of their MP3 player is at least 30 hours. You suspect this SUBJECT claim is incorrect and find that a random sample of 18 MP3 players has a mean battery life of 28.5 TUESDAY ROOM hours and a standard deviation of 1.7 hours. Is there enough evidence to reject the claim at a = 0.01? INSTRUCTOR 4. Claim: u > 25; & = 0.05. Sample statistics: * = 26.2, s = 2.32, n = 17. Assume the population is normally distributed. SUBJECT 5. A research center claims that at most 18% of U.S. adults' online food purchases are for snacks, In a WEDNESDAY ROOM random sample of 1995 U.S: adults, 20% say their online food purchases are for snacks. At a = 0.10. is there enough evidence to support the center's claim? INSTRUCTOR 6. An auto manufacturer claims that the variance of the gas mileages in a model of hybrid vehicle is SUBJECT 0.16. A random sample of 30 vehicles has a variance of 0.26. At a = 0.05, is there enough evidence THURSDAY ROOM to reject the claim? INSTRUCTOR Part 2: Correlation and Linear Regression: Label each part and box your answer SUBJECT