Determine whether the following are nominal, ordinal, interval, and ratio. Daily temperatures in Ripon, WI

Determine whether the following are nominal, ordinal, interval, and ratio.

1. Daily temperatures in Ripon, WI
2. Test scores in statistics class

2. The following numbers represent the weights in pounds of six 7-year old children in Mrs. Jones’ 2nd grade class. {25, 60, 51, 47, 49, 45} Find the mean; median; mode; variance; standard deviation.

3. If the variance is 846, what is the standard deviation?

4. If we have the following data: 34, 38, 22, 21, 29, 37, 40, 41, 22, 20, 49, 47, 20, 31, 34, 66.  Draw a stem and leaf. Discuss the shape of the distribution.

5. Find the regression equation of the following data.

 

X	6	5	7	6	5	6	8	9	4
y	14	33	43	54	21	33	43	24	28

6. To predict the annual rice yield in pounds we use the equationyˆ = 859 + 76x1 + 3.82x2 where x1 represents the number of acres planted (in thousands) and where 2x represents the number of acres harvested (in thousands) and where r² = 0.94.

1. Predict the annual yield when 3200 cares are planted and 3000 are harvested
2. Interpret the results of r²

7. The Student Services office did a survey of 500 students with the following results:

	Transfer	Non-transfer	Total
Part-time	100	110	210
Full-time	170	120	290
Total	270	230	500

1. Find the probabilities that a student is a transfer student.
2. Find the probability that a students is part-time.
3. Find the probability that a student is a transfer student and a part-time student
4. Find the probability that a student is a transfer student, given that the student is part-time, P(transfer|part-time).

8. A shipment of 40 television sets contains 3 defective units. Howmany ways can a vending company can buy five of these units and receive no defective units?

9. A company claims that 61% of consumers know about their product. If the company asks 18 consumers, what is the probability that (a) exactly 10 will say yes, that (b) between 10 and 12 will say yes.

10. The mean number of cars per minute going through the Eisenhower turnpike automatic toll is about 7. Find the probability that exactly 3 will go through in a given minute.

11. On a dry surface, the braking distance (in meters) of a certain caris a normal distribution with mu = μ= 45.1 m and sigma = σ= 0.5

1. Find the braking distance that represents the 91st percentile.
2. Find the probability that the braking distance is less than orequal to 45 m
3. Find the probability that the braking distance is greater than46.8 m
4. Find the probability that the braking distance is between 45 mand 46.8 m.

12. A sample of 58 days of gas prices has a mean of $2.75 and a standard deviation of $0.86. Construct the 95% confidence interval.

13. Determine the minimum required sample size if you want to be80% confident that the sample mean is within 2 units of the populationmean given sigma = 9.4. Assume the population is normallydistributed.

14. A social service worker wants to estimate the true proportion ofpregnant teenagers who miss at least one day of school per week onaverage. The social worker wants to be within 5% of the trueproportion when using a 90% confidence interval. A previous studyestimated the population proportion at 0.21.

1. Using this previous study as an estimate for p, what sample sizeshould be used?
2. If the previous study was not available, what estimate for pshould be used?

15. A restaurant claims that its speed of service time is less than 15minutes. A random selection of 49 service times was collected, andtheir mean was calculated to be 14.5 minutes. Their standarddeviation is 2.7 minutes. Is there enough evidence to support the claim at alpha = .07? Write the hypotheses, the p-value, conclusion, and implication for the claim.

16. A doctor claims that 30% of his patients only have a cold. During one month, the doctor finds that 112 of 420 patients only has a cold. At an alpha of 0.06, can the doctor support the claim?  Write the hypotheses, the p-value, conclusion, and implication for the claim.