Question

Hypothesis Testing Challenge #2-Discussion Board Group 3 Is there a significant difference between the mean age of people surveyed at the Home Show and the mean age of people surveyed at Pybus Market? From My on-campus statistics classes have been conducting surveys for Pybus Market in Wenatchee. The Fall 2014 surveyed customers at Pybus Market to learn more about customer demographics and inform marketing and funding strategies. The Winter 2015 class surveyed people at the Home Show to learn how many people know about Pybus Market and why they come (or don't come) Use these results to conduct a hypothesis test that addresses the following: Age Data.pdt Pybus 2-Sample Initial Post: Conduct a hypothesis test to test the claim. Due Friday, May 24 1. State what type of test you'll be test of proportion?) 2 Conduct a complete hypothesis test using the traditional method (z-scores, not p-values). You can use the Test feature of your calculator to compute the test z-score conducting. (Two sample test of the mean or Two sample t but be sure to got the test score, by hand or with calculator. Test at the.05 significance level. can use the sample standard deviation to approximate the population standard deviation. (Hint You'll need to compute the weighted mean and sample standard deviation for each data set.) Step 1: Null and Alternative hypotheses Step 2: Critical z-score (state where you got this) Step 3: Test z-score (state how you got this) Step 4: Decision. Include a picture of the normal curve with the rejection region, critical and test scores labeled. You can draw this and take a picture or use technology to draw and label. Step 5: Summary-what can you conclude about the ages of the people in the two studies? "Looking for math symbols? In the tool bar of the Reply box, you'll find a rsymbol (between the tree and the books). Click on that to access what you need. Second Post: Corrections to your hypothesis test, if needed. Due Tuesday, May 28 1. Look at other students' hypothesis test and review your own. 2. If needed, post a brief explanation of what you did wrong and your corrected hypothesis test Feel free to post more than twice to this assignment. You may want to ask a classmate a question about his or her hypothesis test before making changes to yours. Pybus Market Survey Winter 2015. Results from the BNCW Home Show, Feb. 7th Pybus Market Survey Fall 2014. Results from the Pybus Market Oct 30-Nov 16 02 02 Which of the following best describes your age? Which of the following best describes your age? Answered a3 supped 4% 90% 20% 30% 40% 50% 60% 80% 90% 100% 1.3% -44 -69 Over 8.47%% Prefer mot to 15 Note: Use 21.5 as es the midpoint for the Under 30' class, and a midpoint of 68 for the 'Over 60' closs able F Confideace 95% One tail, a Two tall, α 63.657 353 2.776 3.707 2.998 2.306 2262 1.860 1.372 3055 1.782 2.160 2.145 2977 1.761 1.753 1.746 1341 1.337 1.333 2.921 2.567 2.101 2.861 2.093 1.725 2.518 2.797 1.318 2.787 2.779 2.473 2.052 2.763 2467 1.701 2.750 1.697 2.037 1,694 1.309 2.728 2.719 2.712 2.704 2.441 1.688 1.304 1.686 2021 1.684 2412 1.679 1.301 2.678 1.676 1.299 1.673 2390 1-296 1.997 1.669 1.667 1.665 2381 1.992 1.664 1.662 2.639 1292 1.291 1.290 1.283 1.984 1.648 1.282 1.646 2.330 1.282 This value has been rounded to 1.28 in the textbook This value has been rounded to 1.65 in the texthook. This value has been rounded to 2.33 in the testbook This value has been rounded so 2.58 in the textbook One tail Two tails Area Area Area Sounce: Adapeed from W. H. Beyer, Handbook of Tables for Probability and Stonisnics, 2nd ed, CRC Press, Boca Raton, Fla, 1986. Reprinted with permission

Answer 1

1. Two sample t test of the mean 2. Step 1: Let 1 true average responses under Pybus Market survey Fall 2014. 2 true average responses under Pybus Market survey Winter 2015 Null hypothesis, Ho : μι = μ2 us. Alternative hypothesis. Hi : A > μ2.

Step 2: Zo.051.64 (Standard normal distribution table) Step 3:

		Pybus Market survey Fall 2014			Pybus Market Survey winter 2015
Class	Midpoint(x)	Frequency(f)	xf	x^2f	Frequency (f)	xf	x^2f
Under 30	21.5	61	1311.5	28197.25	18	387	8320.5
30-44	38	80	3040	115520	22	836	31768
44-60	52	60	3120	162240	28	1456	75712
Over 60	68	64	4352	295936	15	1020	69360
	Sum=	265	11823.5	601893.3	83	3699	185160.5

11 = sample mean under Fall 2014 = 11823.5/265= 44.62 ple variance under Fall 2014-265 Σ r,-i-280.35 sample variance under Fa 2014- r2 = sample mean under winter 2015 = 3699/83-4457 s2-sample variance under winter 2015 rf - 244.36 83 Note : We ignore Response underte heading " Prefer not to answer", T10.025. Step 4 : Since-score < Z005 so we fail to reject Ho at 5% level of significance. Step 5: The average age of Pybus Market survey Fall 2014 is not larger than the average age of Pubus Market survey winter 2015

8 8 8 Rejection Region 1 1.64 -1 0 2 3 2