7. The following is the number of passengers per ight in a sample of 34 ights
from Ottawa, Ontario, to Hampton, Washington in 2018.
78 73 75 99 50 58 25 56 57 55 59 55 62 69 77 66 51
21 53 30 51 63 52 57 68 75 66 65 69 79 72 65 53 50

(f) Find the percentage of measurements falling in the intervals xks for k =
1; 2; 3.

(g) How do you compare the percentages obtained in part (f) with those
given by the Empirical Rule? Explain.

Results from the National Health Interview Survey show that among the U.S. adult population, 45.9% do not meet physical activity guidelines, 3.5% meet only strength activity, 29.0% meet only aerobic activity, and 21.6% meet both strength and aerobic activity. We sampled 4475 adults from Ohio and the results were as follows: 50.0% do not meet physical activity guidelines, 5.0% meet only strength activity, 35.0% meet only aerobic activity, and 10.0% meet both strength and aerobic activity. Conduct an appropriate hypothesis test to determine if the distribution in physical activity among Ohioans is similar to the U.S. population. Interpret your results.

Health insurers are beginning to offer telemedicine services online that replace the common office visit. Wellpoint provides a video service that allows subscribers to connect with a physician online and receive prescribed treatments. Wellpoint claims that users of its LiveHealth Online service saved a significant amount of money on a typical visit. The data shown below ($), for a sample of 20 online doctor visits, are consistent with the savings per visit reported by Wellpoint.

Assuming the population is roughly symmetric, construct a 95% confidence interval for the mean savings for a televisit to the doctor as opposed to an office visit (to 2 decimals).

95% confidence interval: $_______ to $________ per visit

You are the CEO of PlatesRUs license plate manufacturing conglomerate. State regulators tell you that each license plate must contain 2 letters (26 possible letters, A through Z) and 3 numbers (10 possible digits, 0 through 9).

a. State regulators also tell you that the numbers and letters cannot repeat (E.g., AB123 is valid, but AA123 is not). How many different plates are possible? (Note: on a license plate, order matters. AB123 is different from BA123.)

b. Regulators have stated new rules: plates still contain 2 letters and 3 numbers, but now the numbers and letters can be in any of the 5 positions. The numbers and letters still do not repeat on these new plates. (E.g., 1A23B is now valid, but 1A13B is not.) How many plates are possible now?

c. Assume now that plates are still designed as in part b, except that the no-letter-or-- number-repeat clause is not enforced any more. What is the probability that a given plate contains the numbers 777 in succession (i.e. right next to each other, with no letters in between)?

Consider the following game:

You start with $1. The game is over when you run out of money.

You flip a coin-----Heads means that you win $1 and Tails means that you lose $1

What is the probability that the game will end after:

a. 1 flip of the coin?  

b. 2 flips of the coin?

c. 3 flips of the coin?

d. 4 flips of the coin?

You can set up a tree diagram.          

You can show your explained calculations    

You can set up a chart.

Just make sure that you show or explain how you arrived at your answer.

3.3 3.0 2.3 2.6 2.5 2.8 2.7 2.9 2.4 2.4 2.0 3.6 3.1 3.9 2.6 4.0 1.7 3.0 3.1 2.0 1.9 2.1 1.9 2.1 3.4 Calculate the coefficient of variation.

cross-sectional studies are also known as incidence surveys True or False

Part III: The following question requires hand calculations. Be sure to show ALL work and round final answers appropriately. You MUST show all work in order to receive full points.

Z-scores (20 points total)

The average age reported for onset into delinquent activity for the population of prison inmates is 12 with a standard deviation of 2.4. Based on this information and assuming the population is normally distributed:

Z=(X-µ)/s

An inmate's age of one set is 17. Is he in the top 15% of ages? (5 points)

To evaluate the effect of a treatment, a sample of n = 6 is obtained from a population with a mean of μ = 80 and the treatment is administered to the individuals in the sample. After treatment, the sample mean is found to be M = 72. a. If the sample variance is s2 = 54, are the data sufficient to conclude that the treatment has a significant effect using a two-tailed test with α =0.05? b. If the sample variance is s2 = 150, are the data sufficient to conclude that the treatment has a significant effect using a two-tailed test with α =0.05? c. Comparing your answers for parts a and b, how does the variability of the scores in the sample influence the outcome of a hypothesis test?

draft apossible first research question for mark's and phil's idea as described in the first three paragraphs of the case study .

(22.06) Resistance training is a popular form of conditioning aimed at enhancing sports performance and is widely used among high school, college, and professional athletes, although its use for younger athletes is controversial. Researchers obtained a random sample of 4280 patients between the ages of 8 and 30 who were admitted to U. S. emergency rooms with injuries classified by the Consumer Product Safety Commission code "weight-lifting." These injuries were further classified as " accidental" if caused by dropped weight or improper equipment use. Of the 4280 weight-lifting injuries, 1456 were classified as accidental.

What is a 96% confidence interval for the proportion of weight-lifting injuries in this age group that were accidental?

The 96% confidence interval (±±0.001) is from  to

A normal distribution has a mean of u= 60 and a standard deviation of of 12. For each of the following samples, compute the z-score for the. Sample mean, and determine whether the sample mean is a typical, representative value or an extreme value for a sample of this size. M=64 for n= 4 scores

Use the t-distribution to find a confidence interval for a mean μ given the relevant sample results. Give the best point estimate for μ, the margin of error, and the confidence interval. Assume the results come from a random sample from a population that is approximately normally distributed.

A 95% confidence interval for μ using the sample results x¯=89.9, s=9.3, and n=42

Round your answer for the point estimate to one decimal place, and your answers for the margin of error and the confidence interval to two decimal places.

point estimate =

margin of error =

The 95% confidence interval is

I/ The following data are ACT test scores from a group of high school seniors: 30, 25, 29, 32, 27, 25, 24, 18, 26 1/ Find the mode 2/ Find the mean 3/ Construct a boxplot (clearly label all 5 specific values) 4/ Calculate the standard deviation for the data set

The production of pasture grass for hay is an important agricultural product. A new type of grass, called Teff Grass is advertised to produce 2 ton of hay per acre on the first cutting. Twenty-five test plots of this new grass resulted in average production of 1.92 ton per acre on the first cutting with a standard deviation of 0.40 ton. Assume that the production of hay is a normally distributed random variable, which is a necessary assumption with this small sample.

1. What is the 99% confidence interval to estimate the parameter based on these data?
2. Does the above confidence interval contain the hypothesized parameter value in this case? Write a sentence about what the confidence interval indicates about the parameter value.