• Study Resource
• Explore

Survey

* Your assessment is very important for improving the work of artificial intelligence, which forms the content of this project

Document related concepts

German tank problem wikipedia, lookup

History of statistics wikipedia, lookup

Student's t-test wikipedia, lookup

Taylor's law wikipedia, lookup

Bootstrapping (statistics) wikipedia, lookup

Misuse of statistics wikipedia, lookup

Transcript
```name:
Mathematics 146 homework exercises
due Tuesday, November 18, 2014
1. Weights in a distant population are normally distributed about a mean of 62 kilograms,
with a standard deviation of 4 kilograms. Calculate the weights that correspond to (a) the
10th percentile, (b) the first quartile, and (c) the median.
2. A survey of 900 randomly selected people found that 27% hated eating fish of any kind.
Construct a 97% confidence interval for the percent of the population which hates eating
fish.
3. During the first week of the quarter, the 21 people in a statistics class had a mean age of
29.63 years, with a (sample) standard deviation of 10.79 years. Assuming that ages across
the college are normally distributed, construct a 90% confidence interval for the mean age
at the college.
(use the t-distribution !)
4. A local pizza shop samples 1000 customers and determines that 70% of the customers
found their food to be excellent, with a margin of error of 3%. What is the level of confidence?
5. A sample of heights is drawn from a larger population in which heights are normally
distributed. The following heights were observed, along with the number of people with
each height:
height (cm) frequency
164
2
166
4
168
6
170
4
172
2
(a) calculate the sample’s mean height and the standard deviation of the heights.
(b) construct a 95% confidence interval for the entire population’s mean height.
(use the t-distribution for part (b) !)
```
Related documents