A survey found that womens heights are normally distributed with mean 62.1 in and standard deviation 2.1 in the survey also found that mens heights are normally distributed with a mean 69.7 and SD 3.8 a) most of the live characters at an amusement park have height requirements with a minimum of 4ft 9in and a maximum of 6ft 4in find the percentage of women meeting the height requirement the percentage of woment who meet the height requirement? (round to two decimal places as needed) b) find the percentage of men meeting the height requirement the percentage of men meeting the height requirement (round to two decimal places as needed ) c) If the height requirements are changed to exclude only the tallest 5% of men and the shortest 5% of women what are the new height requirements the new height requirements are at least ___ in. and at most ___ in. (round to one decimal place as needed)

In the town of Hooterville, all the downtown stores are identical and all the people who shop downtown are identical. The town can earn revenue in three ways: • It can charge each store a montly license fee. • It can charge an excise tax on the store’s merchandise. • It can charge shoppers to park on the streets (the only way to get downtown is to drive, so every shopper pays the parking fee). The town’s goal is to maximize its total revenue from all three sources. a) How big should the excise tax be? b) Suppose a court ruling requires the town to provide free parking. Now how big should the excise tax be? If necessary, you can answer in terms of labeled portions of graphs. If you do this, please be sure to say why these portions of your graph are relevant to the problem.

a) A county clerk wants to estimate the proportion of voters who will need special election facilities. Suppose a sample of 400 voters was taken. If 150 need special election facilities, what is the upper confidence limit (UCL) for the 90% confidence interval for the population proportion of voters who will need special election facilities. Round your answer to 3 decimal places.

b) A hotel chain wants to estimate the mean number of rooms rented daily in a given month. The population of rooms rented daily is assumed to be normally distributed for each month with a standard deviation of 240 rooms. During February, a sample of 25 days has a sample mean of 370 rooms.

What is the upper confidence limit (UCL) of the 99% confidence interval for the mean number of rooms rented daily in a given month? Round your answer to the nearest whole number.

Azzalini and Bowman (1990) analyzed the data of the waiting time (in minutes) of consecutive eruptions of the Old Faithful geyser in Yellowstone National Park. They found that the waiting times can be categorized into two groups in historical data.

-In group 1, waiting time is normally distributed with mean 54 minutes and standard deviation of 2.95.

-In group 2, the waiting time is normally distributed with mean 80 minutes and standard deviation of 7.5.

Suppose that there is a 30% chance that the waiting time is from group 1. They want to simulate the waiting time.

a) Use Excel functions only to simulate the waiting time. Your simulations should contain 500 iterations. you need only to return in one page showing your model and one page displaying the formulas in your model.

b) what is the average waiting time in your simulation?

The data below shows the duration of eruption (in seconds) of a geyser in a national park and the height (in feet) of the eruptions for a typical day. Use Excel to find the best fit linear regression equation, where duration of eruption is the explanatory variable. Round the slope and intercept to one decimal place.

Duration   Height
240   140
237   154
122   140
267   140
113   160
258   140
232   150
105   150
186   160
248   155
243   125
241   136
214   140
114   155
272   130
227   125
237   125
238   139
203   125
270   140
218   140
226   135
250   141
245   140
120   139
267   110
103   140
270   135
241   140
239   135

Provide your answer below:

y = _x + _

Are the measurements Nominal, Ordinal, Interval, or Ratio?

Also, Qualitative, Discrete or Continuous?

1. Which subsidiary insures your vehicle (choose one)? {MallState, CaveLizard, MaryPoppins}
2. What is your weight?
3. Where do you usually park your vehicle (choose one)? {Public Street, Paid Parking Lot, Private Garage}
4. On average, how many minutes does it take you drive to work?
5. On average, how many miles per year do you drive? (to the nearest tenth of a mile, as the odometer[1] reads)
6. What is the state of your residency?
7. The make calendar year of your car?
8. Buyer’s age category: {less 25, 26-36,37-55, 56-65, over 65}

(i)   What is the temperature that you prefer inside the car (in Fahrenheit)?

(j) Give your customer satisfaction on a scale of 1-10.

QUESTIONS: Look at the photos below and listen to the song, "Kenji," featured on the album, The Rising Tied, by Fort Minor, a side project of Linkin Park band member, Mike Shinoda, a Japanese American whose father's family was interned at a relocation camp during World War II. Read the lyrics to "Kenji" while listening to the song, which includes samples of interviews Shinoda conducted with his father and aunt. In an interview with the Metro Silicon Valley, Shinoda said that he played the song for his family before he made it public, noting that his “…uncle, who is a very stoic Japanese guy, cried when he heard the song” (“Summer of ’42”). How do the lyrics of the song convey the negative effects of internment on the psyche of Japanese Americans? Do you think the internment of Japanese Americans during World War II was justified? Why or why not?