1 Pretzels Students investigating the packaging of single-serving pretzel bags marked with a weight of 28.3...

1 Pretzels
Students investigating the packaging of single-serving pretzel bags marked with a weight of 28.3 grams bought 6 bags of these pretzels and weighed the contents on a scale in the chemistry laboratory. The weights (in grams) were: 28.4, 29.1, 28.6, 28.8, 29.0, and 29.4. Construct a 95% conﬁdence interval for the mean weight of these bags of pretzels and explain in context what that interal means. Be sure to comment on the company’s stated weight of 28.3 grams.

2 Tips

Semhar works as a waiter in a local pizza restaurant where he waits on about 40 parties over a weekend of work and 10 parties each day he works during the week. After collecting some careful data on his tips over the last year, he believes the distribution of his tips has a model that is slightly skewed to the right, with a mean of $9.50 and a standard deviation of $5.40. a) Explain why you cannot determine the probability that a given party will tip him at least $20.

b) Can you estimate the probability that the next 4 parties will tip an average of at least $15? Explain.
c) Is it likely that his 10 parties today will tip an average of at least $15?
d) Estimate the probability that he will earn at least $420 in tips over a weekend.
e) How much does he earn on the best 10% of weekends?

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