assume the coach wanted a reliable estimate of her ability to play and allowed him to hit 10 rounds and took the average number of strokes of those 10 rounds. His rounds were: 72 74 69 72 71 72 71 72 72 73 Is there sufficient evidence to suggest that her true average is less than 73? Perform the 6 step hypothesis test at the alpha = .01 level of significance to find out! You may assume that her round scores come from a normal distribution. Be sure to include the appropriate confidence interval (the one that will always “agree” with your test) in your conclusion.

1. A researcher is interested in the effects of practice on accuracy in a signal detection task. Participants are tested with no practice, after 1 hour of practice, and after 2 hours of practice. Each person participates in all three conditions. The following data indicate how many signals were accurately detected by each participant at each level of practice.

      Amount of practice

   Participant No Practice 1 Hour 2 Hours

   1 3 4 6

   2 4 5 5

   3 2 3 4

   4 1 3 5

   5 3 6 7

   6 3 4 6

   7 2 3 4

   Source df SS MS F

   Subject 16.27

   Between 25.81

   Error 4.87

   Total 46.95

   a. Complete the ANOVA summary table.

   b. Is F_obt significant at α = .05? α = .01?

   c. Perform post hoc comparisons if necessary.

   d. What conclusions can be drawn from the F-ratio and the post hoc comparisons?

   e. What is the effect size and what does this mean?

A normal population has a mean of 61 and a standard deviation of 10. You select a random sample of 9. Compute the probability that the sample mean is: (Round your z values to 2 decimal places and final answers to 4 decimal places):

Greater than 64.

Less than 58.

Between 58 and 64.

The mayor of a town has proposed a plan for the construction of a new community. A political study took a sample of 900 voters in the town and found that 75% of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is more than 72%. Testing at the 0.05 level, is there enough evidence to support the strategist's claim?

A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 422 gram setting. It is believed that the machine is underfilling the bags. A 25 bag sample had a mean of 418 grams with a standard deviation of 16. A level of significance of 0.1 will be used. Assume the population distribution is approximately normal. State the null and alternative hypotheses.

Industrial wastes and sewage dumped into our rivers and streams absorb oxygen and thereby reduce the amount of dissolved oxygen available for fish and other forms of aquatic life. One state agency requires a minimum of 5 parts per million (ppm) of dissolved oxygen in order for the oxygen content to be sufficient to support aquatic life. A pollution control inspector suspected that a river community was releasing amounts of semitreated sewage into a river. To check his theory, he drew five randomly selected specimens of river water at a location above the town, and another five below. The dissolved oxygen readings (in parts per million) are as follows.

(a) Do the data provide sufficient evidence to indicate that the mean oxygen content below the town is less than the mean oxygen content above? Test using α = 0.05. (Use μ₁ for the population mean for the above town location and μ₂ for the population mean for the below town location.)

State the test statistic. (Round your answer to three decimal places.)
t =  
State the rejection region. (If the test is one-tailed, enter NONE for the unused region. Round your answers to three decimal places.)

t <
State the conclusion.

(b) Suppose you prefer estimation as a method of inference. Estimate the difference in the mean dissolved oxygen contents (in ppm) for locations above and below the town. Use a 95% confidence interval. (Use μ₁ − μ₂. Round your answers to three decimal places.)
ppm to  ppm

Linearize by hand y = a(x₁)^b(x₂)^c and determine the coefficients a, b and c, and the coefficient of determination using the data below.

You must estimate the mean temperature (in degrees Fahrenheit) with the following sample temperatures:

Find the 99% confidence interval. Enter your answer as an open-interval (i.e., parentheses) accurate to two decimal places (because the sample data are reported accurate to one decimal place).

99% C.I. =

Using a short paragraph explain each part in 10 lines:

a) The meaning of an “interaction” term in a general linear model.

b) The importance of ensuring data points are independent.

c) The value of an orthogonal design.

d) The difference between a random and a fixed effect.

e) The difference between a general linear model and a generalized linear model

f) The difference between a Type I and Type II error. Expert Answer

1. Archway Adventures has compiled data for 2017 on customer orders by region and product group as follows:

Let us assume that these are representative of the pattern of orders that they anticipate seeing in 2018.

1. Are the events “Toy” and “Rest of the World” independent? Explain.
2. The rows of the table are mutually exclusive categories. How would our summary be complicated if some orders were for multiple products?

2. 54.5% of Archway’s orders come from North America, 31.5% from Europe and the remaining 14% from the rest of the world. Among North American customers, 3% complained about late or lost deliveries. Similarly, complaints were received from 8% of European customers and 15% of customers from the rest of the world.

1. Construct a probability tree that shows all combinations of where orders originated and whether customers complained. Label all branches in terms of what the event is on the branch and the corresponding probability (e.g., P(A), PA’), P(B|A), P(B’|A),…). Also determine the probability for each ending joint event (e.g., P(Europe and Complain)).
2. Summarize all of the joint probabilities in a probability table.
3. What percentage of Archway customers complained about delivery problems?
4. Among those who complained, what percentage were from Europe?

In a random sample of 1200 potential buyers, 376 indicated that they would consider purchasing a hybrid vehicle. Estimate the proportion of people that would consider purchasing a hybrid vehicle at a 96% confidence level. Critical Value: Your answer should contain three decimal places Confidence Interval: ( , ) Keep your answers as decimals (not percentages) and round your answers to 3 decimal places.

You roll a​ die, winning nothing if the number of spots is

eveneven​,

​$77

for a

11

or a

33​,

and

​$1616

for a

55.

​a) Find the expected value and standard deviation of your prospective winnings.

​b) You play

three timesthree times.

Find the mean and standard deviation of your total winnings.

​c) You play

3030

times. What is the probability that you win at least

​$190190​?

The mean height of women in a country​ (ages 20−​29) is 63.9 inches. A random sample of 75 women in this age group is selected. What is the probability that the mean height for the sample is greater than 64 ​inches? Assume σ=2.75.

The probability that the mean height for the sample is greater than 64 inches is