WARM – UP Plant scientists have developed a new variety of corn rich in amino acid lysine used for bulking up chickens. Twenty-five Chickens were randomly.

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Presentation transcript:

WARM – UP Plant scientists have developed a new variety of corn rich in amino acid lysine used for bulking up chickens. Twenty-five Chickens were randomly placed in one of two groups (Exclusively eating the New corn & Control group) and after one month their weight gains were recorded (in grams). Control Experimental Corn 380 321 366 356 361 447 401 434 283 349 402 462 403 393 426 406 356 410 329 399 427 420 477 392 430 Is there good evidence that chicks fed high-lysine corn gain more weight?

Control: 367.75 47.165 12 H0: μ1 = μ2 Ha: μ1 < μ2 Experimental: 416.69 28.949 13 μi = The true mean amount of weight gained by chicks eating… μ1 = Traditional Corn μ2 = Experimental Corn H0: μ1 = μ2 Ha: μ1 < μ2 TWO Sample t – Test SRS – Stated 2. Independent 3. Approximately Normal Distribution – Graph BOTH! Since the P-Value is less than α = 0.05 the data IS significant . There is strong evidence to REJECT H0 . Chicks fed the high-lysine corn gained more weight.

The Formulas the Calculator uses 1. In order to use the POOLED t-Test, we must make an Equal Variance Assumption. 2. The Accurate Degree of Freedom: The Conservative Degree of freedom: df = n(smallest) – 1

Find spooled and the Accurate df: Control: ????? 47.7 12 Experimental: ????? 28.9 13 Find spooled and the Accurate df: spooled = 39.038 df = 17.839

Does Generic Chocolate Chip Cookies equivalently compare to name Brands? To determine this, we will count the number of chips in each cookie. 1000 Chips in Every Bag! μi = The true mean number of chocolate chips in … μ1 = Chips Ahoy cookies μ2 = Chip Mate cookies

Chips Ahoy used to advertise “1000 Chips in Every Bag!” How would YOU do a significance test to test this? What issues do you think would arise and how would you over come them? 1000 Chips in Every Bag!

Chips Ahoy used to advertise “1000 Chips in Every Bag Chips Ahoy used to advertise “1000 Chips in Every Bag!” With 38 cookies in each bag, the true mean number of chips in each cookie should be 26.3 chips per cookie. Because there was a suspicion of LESS than 26.3 chip per cookie the company disregarded the ad. Test this claim by crumbling cookies and counting the number of chips in each. a.) Is there evidence to support the company’s decision. Gather evidence and Conduct a Significance test. b.) Estimate the true # of chips in the bag by finding a 95% Confidence Interval for the true # of chips per cookie and then multiply it by 38. c.) Eat your evidence. 1000 Chips in Every Bag!