2010 Sample Final Key

2010 Sample Final - [SAMPLE TEST AMS110.02 Final Exam(Spring 2010 Possible Points:100 Time 120 Minutes Last Name First Name Student ID Number 1 A

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: [SAMPLE TEST] AMS110.02 Final Exam (Spring 2010) Possible Points:100; Time: 120 Minutes Last Name: _____________________ First Name: _____________________ Student ID Number: _____________________ 1. A consumer watchdog group suspects that a yogurt that is advertised to be 98% fat free has in fact a higher mean fat content. The group will take action against the company if it can substantiate its suspicion with factual data. For this purpose, the group takes a sample of 25 yogurt cups (each containing 170 grams) and measured the fat contents. If the company’s claim is correct, then the mean fat content should be no more than 2%, i.e., 3.4 grams. Also suppose that σ of the fat contents is .5 grams. a. Set up the hypotheses to be tested. : 3.4 : 3.4 a H versus H μ μ b. Suppose that the mean fat content for 25 sample cups was 3.6 grams. Report the p- value. 3.6, 25; .5; 3.4 3.6 3.4 .2 2 .1 / .5 / 25 ( ) ( 2) 1 ( 2) .0228 x n x z n P value P Z z P Z P Z σ μ μ σ = = = =-- = = = = ∴- = = = - < = c. Is there enough statistical evidence to support the consumer group’s suspicion at .06 α = ? Explain using the p-value that you find. .0228 .06 .06. P value Reject H at the significance level α α- = < = ∴ = 2. The length of human pregnancies from conception to birth varies. According to a study, its distribution approximates a normal distribution with mean of 280 days and standard deviation of 25 days. Suppose the length of a pregnancy of a woman is independent of the length of another pregnancy of the same woman at a different time....
View Full Document

This note was uploaded on 03/28/2011 for the course AMS 110 taught by Professor N/a during the Spring '08 term at SUNY Stony Brook.

Page1 / 5

2010 Sample Final - [SAMPLE TEST AMS110.02 Final Exam(Spring 2010 Possible Points:100 Time 120 Minutes Last Name First Name Student ID Number 1 A

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online