8. Snacking on Goldfish Carly and Maysem plan to be pre-school teachers after they graduate from college. To prepare for snack time, they want to know the mean number of goldfish crackers in a bag of original goldfish. To estimate this value, they randomly selected 12 bags of original goldfish and counted the number of crackers in each bag. Here are their data: 317 330 325 323 332 337 324 342 330 349 335 333 21 The sample mean for these data is x = 331.4 goldfish.²1 The dotplot shows the distribution of the sample mean number of goldfish for 500 random samples of size 12 taken with replacement from the original sample. 320 330 335 Simulated sample mean number of goldfish 325 Distribution of simulated mean # samples 500 mean 331.545 SD 2.395 340 (a) Use the results of the simulation to approximate the margin of error for the estimate of the mean number of goldfish in a bag of original goldfish. (b) Interpret the margin of error.

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8.
Snacking on Goldfish Carly and Maysem plan to be pre-school teachers
after they graduate from college. To prepare for snack time, they want to
know the mean number of goldfish crackers in a bag of original goldfish.
To estimate this value, they randomly selected 12 bags of original goldfish
and counted the number of crackers in each bag. Here are their data:
324 342 330 349 335 333
317 330 325 323 332 337
The sample mean for these data is
320
The dotplot shows the distribution of the sample mean number of goldfish
for 500 random samples of size 12 taken with replacement from the
original sample.
...
325
# samples
500
=
331.4 goldfish.
X
330
335
Simulated sample mean number of goldfish
21
Distribution of simulated mean
mean
331.545
SD
2.395
340
(a) Use the results of the simulation to approximate the margin of error for the
estimate of the mean number of goldfish in a bag of original goldfish.
(b) Interpret the margin of error.
Transcribed Image Text:8. Snacking on Goldfish Carly and Maysem plan to be pre-school teachers after they graduate from college. To prepare for snack time, they want to know the mean number of goldfish crackers in a bag of original goldfish. To estimate this value, they randomly selected 12 bags of original goldfish and counted the number of crackers in each bag. Here are their data: 324 342 330 349 335 333 317 330 325 323 332 337 The sample mean for these data is 320 The dotplot shows the distribution of the sample mean number of goldfish for 500 random samples of size 12 taken with replacement from the original sample. ... 325 # samples 500 = 331.4 goldfish. X 330 335 Simulated sample mean number of goldfish 21 Distribution of simulated mean mean 331.545 SD 2.395 340 (a) Use the results of the simulation to approximate the margin of error for the estimate of the mean number of goldfish in a bag of original goldfish. (b) Interpret the margin of error.
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