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Many retirement apartment communities have an emergency response team on the premises to

serve residents in need 24 hours per day, seven days per week . A resident can make an

emergency call by pulling on any one of several wall cords located in bathrooms and other rooms

in the apartment. After pulling the cord, these teams are supposed to arrive at a residents

apartment within three minutes of a n emergency call for help or ambulance by the resident. The

community Manager has been asking some residents who have made emergency calls how long

did it take for the emergency response team to arrive for you ? Design a test of ten trials to

determine whether the emergency response team s either tend to arrive within 3 minutes, or tend

to take later than three minutes. Then, use 10 notional (dummy) emergency response times to

demonstrate your test at the 95% confidence level. Use these times to perform the calculations

and draw a mock conclusion. Assume that the design of your test will be tried b y the community

Manager if it is detailed enough.

1. Describe the test you are proposing. 3 pts.

Based on that design and a set of ten notional (dummy) numbers for demonstration purposes

only, answer the following.

2 . State the null hypothesis. 1 pt.

3 . State the alternative hypothesis. 1 pt.

4 . State the significance level. 1 pt.

5 . Perform the calculations ; include the notional data . 3 pts.

6 . Should the null hypothesis be accepted or rejected ? Answer only one. Describe what you

mean by accepted or rejected. 3 pts.

Yes, because:

or

No, because:

Fast food restaurants seem to be increasing the portion size and caloric levels of their menu

items. Suppose a fast food chain has examined the orders of some of the customers taken

at random at lunch time, with the total caloric intake of their orders listed below

(hypothetically). Suppose that in 1975, the median caloric intake was 800 calories per

order. Is there sufficient evidence in this small sample to indicate whether it least seems

reasonable to pursue further the notion that the median caloric intake per lunch order has

increased since 1975. Test at a = .05.

1126

945

1802

859

973

889

255

778

1201

1001

a.

b.

c.

d.

e.

State the null hypothesis.

State the alternative hypothesis.

State the significance level.

Perform the calculations.

Should the null hypothesis be rejected? Answer only one.

Yes, because:

or

No, because:

1.

a. State the null hypothesis.

Ho: median of the current caloric intake equals 800.

b. State the alternative hypothesis.

Ha: median of the current caloric intake is greater than 800.

c. State the significance level.

a = .05

d. Perform the calculations.

Data

Sign

1126

Rank

Order

1802

945

1201

+

1802

1126

+

859

1001

+

973

973

+

889

945

+

255

889

+

778

859

+

1201

778

_

1001

255

_

+

e. Should the null hypothesis be rejected? Answer only one.

Yes, because:

or

No, because

:

There are 8 plus signs and 2 minus signs. The size of the tail is at n=10, with

P(0) = .0010, P(1) = .0098, and P(2) = .0440. This sum is .0548, which is larger than .05.

Therefore, conclude that there is not enough data to reject Ho:– so

fail to reject it at least at this stage of study.

…

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