Wi Help Fall2018 HW3 Fish Consider the question (using fish) of whether uncommit

Question

Wi Help Fall2018 HW3 Fish Consider the question (using fish) of whether uncommitted members of a group make it more democratic. It has been argued that individuals with weak preferences are particularly vulnerable to a vocal opinionated minority. However, recent studies, including computer simulations, observational studies with humans, and experiments with fish, all suggest that adding uncommitted members to a group might make for more democratic decisions by taking control away from an opinionated minority.' In the experiment with fish, golden shiners (small freshwater fish who have a very strong tendency to stick together in schools) were trained to swim toward either yellow or blue marks to receive a treat. Those swimming toward the yellow mark were trained more to develop stronger preferences and became the fish version of individuals with strong opinions. When a minority of five opinionated fish (wanting to aim for the yellovw mark) were mixed with a majority of six less opinionated fish (wanting to aim for the blue mark), the group swam toward the minority yellow mark almost all the time. When some untrained fish with no prior preferences were added, however, the majority opinion prevailed most of the time.2 Training Fish to Pick a Color Fish can be trained quite easily. With just seven days of training. golden shiner fish learn to pick a color (yellow or blue) to receive a treat, and the fish will swim to that color immediately.On the first day of training. however, it takes them some time. In the study described above, the mean time for the fish in the study to reach the yellow mark is T 51 seconds with a standard error for this statistic of 2.4. (a) Find a 95% confidence interval for the mean time it takes a golden shiner fish to reach the yellow mark. The 95% confidence interval for the mean is 456 (b) Is it plausible that the average time it takes fish to find the mark is 60 seconds? to 56.3 No + Is it plausible that it is 50 seconds? Yes Milius S, "Uncommitted Newbies Can Foil Forceful Few," Science News, 2012: 181(1): 18.

Explanation / Answer

Here' the answer to the question with full concept. Please don't hesitate to give a "thumbs up" in case you're satisfied with the answer

a.

xbar = 51

standard error = 2.4

95% CI around the mean is given by : xbar +/- Z*SE

The Z for 95% CI is 1.96, using this we have:

= 51+/- 1.96*2.4

= 46.296 to 55.704

b. No , it not plausible that the average time it takes fish to find the mark is 60 seconds. The 95% confidence interval for the mean is 46.296 to 55.704

c. Is it plausible that it takes 50 seconds , because 50 lies between the 95% range. Anything, in between the the 95% range is plausible, or possible. So, answer is a YES

Related Questions

Navigate

• Browse (All)
• Browse W
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.