P.op.dbpg0dpPm®hd:pgtbndpgdbnp In this activity you will investigate the differe
ID: 3205362 • Letter: P
Question
P.op.dbpg0dpPm®hd:pgtbndpgdbnp In this activity you will investigate the differences between two major brands of soda pop. (Example Pepsi Vs. Coke, Orange Crush Vs. Kroger Orange, A&W Vs. Kroger Root Beer, etc ...) 1. What populations are you studying? 2. To compare, decide if you want to use independent (10.1, 10.2) or matched sampling (10.3). Which would be better and why? (Note: this is important! Hopefully you chose "matched") 3. You will need several taste testers and a way to keep everything as unbiased as possible. Consider carefully what things would need to be considered to do this. Example: Would the pop brand they tasted first have any bearing on the outcome? 4. Explain carefully how you set up the test and what you did to avoid any kind of potential bias. 1. creating 95% confidence interval of the mean rating difference. 2. What claims can you make concerning the differences? 3. Try and prove there is a difference between the two. 0.uptiip7.rmpu.m= in running a hypothesis test. Run the test using the Test Statistic / Critical Value approach. 4. Run the test using the p-value / level of significance approach. 0.uptiip7.rmpu.m= 5. Do the results of your hypothesis test agree with your confidence interval? Explain carefully.
Num Brand A Brand B Difference 1 10 4 6 2 6 2 4 3 8 2 6 4 5 1 4 5 10 1 9 6 9 5 4 7 5 2 3 8 10 3 7 9 9 7 2 10 7 6 1 11 10 5 5 12 5 5 0 13 10 1 9 14 10 5 5 15 9 6 3Explanation / Answer
Solution:
Null hypothesis : there is no difference between the taste of the group
Alternate hypothesis : one group is taste is different than other.
since the P value is very small we reject our null hypothesis
t-Test: Two-Sample Assuming Equal Variances Brand A Brand B Mean 8.2 3.666666667 Variance 4.171428571 4.238095238 Observations 15 15 Pooled Variance 4.204761905 Hypothesized Mean Difference 0 df 28 t Stat 6.054490205 P(T<=t) one-tail 7.90358E-07 t Critical one-tail 1.701130934 P(T<=t) two-tail 1.58072E-06 t Critical two-tail 2.048407142Related Questions
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