Question
Nabisco Chips Ahoy is a popular brand of chocolate chip cookie. In the 1980s, Nabisco ran television ads claiming that their cookies had, on average,
Nabisco Chips Ahoy is a popular brand of chocolate chip cookie. In the 1980s, Nabisco ran television ads claiming that their cookies had, on average, 16 chips per cookie. Since the 1980s many more brands of chocolate chip cookies have appeared on supermarket shelves, which could have put pressure on Nabisco to improve its product perhaps by increasing the amount of chips. On the other hand, the price of chocolate has increased, which could have had the opposite effect. In this activity, you will test whether or not Nabisco could run the same ad today.
18.5 | 17 | 14 | 14.5 | 15 | 13.5 | 16.5 | 15.5 | 19 | 16 |
20.5 | 23.5 | 17.5 | 18.5 | 21.5 | 18.5 | 22.5 | 15 | 16 | 17.5 |
12 | 14.5 | 12.5 | 12 | 20.5 | 21.5 | 22.5 | 24 | 18.5 | 16.5 |
22.5 | 22 | 18.5 | 18.5 | 21.5 | 20 | 17.5 | 16.5 | 17.5 | 17.5 |
19.5 | 21.5 | 24.5 | 18 | 23 | 20.5 | 19.5 | 25 | 19 | 20 |
22 | 19 | 21.5 | 18 | 14.5 | 17 | 21 | 10.5 | 18 | 18 |
20 | 13.5 | 23.5 | 16.5 | 19.5 |
3. a. State the null and alternative hypotheses.
b. Calculate the value of the z-test statistic. (Since the sample size is large, uses in place of .)
c. Calculate the p-value and state your conclusion.
4. Calculate a 95% confidence interval for . Does your confidence interval indicate that has increased, decreased, or remained the same from its value in the 1980s?
*PLEASE SHOW WORK/FORMULAS*
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