Two Way ANOVA .

A golfer has recently purchased new golf clubs, which he believes will significantly improve e his game. Below are the scores of three rounds of golf played at three different golf courses with the old and the new clubs. C

(a) Conduct an analysis of variance. Using aplha = 0.05, what conclusions can you draw?

Please tell steps for EXCEL or MINITAB and do Hypothesis testing.

Sampling is the process of selecting a representative subset of observations from a population to
determine characteristics (i.e. the population parameters) of the random variable under study.
Probability sampling includes all selection methods where the observations to be included in a
sample have been selected on a purely random basis from the population. Briefly explain FIVE (5)
types of probability sampling.

What would be one example that may demonstrate a non-normal distribution of blood pressures? Would it have a particular type of skew? Why or why not? Why would it look this way?

A group of clinicians who are members of the U.S. military are concerned with the morale of troops serving in war regions. They hypothesize that the number of tours a soldier serves significantly affects morale. To test this hypothesis, they select a sample of six soldiers who served three tours in war regions and ask them to rate their morale during each tour they served in. Lower ratings indicate lower morale. The table below lists the hypothetical results of this study.

1. State the null and research hypotheses of this study.
2. Calculate the Sums of Squares Within. Be sure to show your work.
3. Fill out the remaining items in the source table:

   Source	SS	df	MS	F
   Between	9
   Subject
   Within
   Total	32.5

4. Determine the critical F value for a hypothesis test at alpha = .01
5. What decision should the researchers make?
6. Should the researchers complete post-hoc tests? Explain.

6. Listed below are actual high temperatures and the high temperatures that were forecast five days earlier. Use a .05 significance level to test the claim of a zero mean difference between the actual high temperatures and the high temperatures that were forecast one day earlier. Use our 4-step procedure. This is a matched or paired samples hypothesis test. Actual high: 80 77 81 85 73 High forecast one day earlier: 78 75 81 85 76

Step 1: Ho____. Ha: ______

Step 2 : Significance level : 0.05

Step 3: test (Please state what test you used )

values for each required entry on calculator :__

P-value: __

Step 4: Decision:

Reason. Conclusion

Step 5: graph

An online site presented this​ question, "Would the recent norovirus outbreak deter you from taking a​ cruise?" Among the

34 comma 303

people who​ responded,

69

​%

answered​ "yes." Use the sample data to construct a

90

​%

confidence interval estimate for the proportion of the population of all people who would respond​ "yes" to that question. Does the confidence interval provide a good estimate of the population​ proportion?

La Cabaña, a popular motel chain in the southwest, is interested in developing a regression model that can predict the occupancy rate % of its motels. Currently, the company is interested in using two explanatory variables to predict occupancy. They want to use the amount of advertising in $ used by each motel and if the particular location a franchised location. Some regression information is presented below:

Summary measures

Multiple R 0.5358
R-Square 0.2871
Adj R-Square 0.2223
StErr of Estimate 7.582

Regression coefficients

Coefficient Std Err t-value p-value

Constant 43.118 11.4263 3.7735 0.0010

Advertising 0.0013 0.0006 2.4119 0.0247

Franchise 3.038 3.1759 0.9567 0.3491

If we write the linear regression model as f$hat{Y}=a+bX_{1}+cX_{2}f$ , where is Advertising, and is Franchise, then from the above information, we can infer that a is _____________, b is _________________, and c is ____________________. (Please keep three decimal points.)

The coefficient of determination is 0.2871; this represents __________________ percentage of the variation in the occupancy can be explained by this regression equation. (Please keep two decimal points.)

From the p-values, we may conclude that at 5% confidence level, all the coefficients are statistically ______________________ after refining the regressors. (Please only fill in "significant" or "insignificant".)

People in the aerospace industry believe the cost of a space project is a function of the mass of the major object being sent into space. Use the following data to develop a regression model to predict the cost of a space project by the mass of the space object. Determine r² and s_e.

*(Do not round the intermediate values. Round your answers to 4 decimal places.)
**(Round the intermediate values to 4 decimal places. Round your answer to 3 decimal places.)


ŷ = enter a number rounded to 4 decimal places  * + enter a number rounded to 4 decimal places * x
r² = enter a number rounded to 3 decimal places  **
s_e = enter a number rounded to 3 decimal places  **

Cost of Residential Water. On its municipal website, the city of Tulsa states that the rate it charges per 5 CCF of residential water is $21.62. How do the residential water rates of other U.S. public utilities compare to Tulsa's rate? The file ResidentialWater contains the rate per 5 CCF of residential water for 42 randomly selected U.S. cities.

a. Formulate hypotheses that can be used to determine whether the population mean rate per 5 CCF of residential water charged by U.S. public utilities differs from the $21.62 rate charged by Tulsa.

b. What is the p-value for your hypothesis test in part (a)?

c. At a = .05, can your null hypothesis be rejected? What is your conclusion?

d. Repeat the preceding hypothesis test using the critical value approach

Sociologists say that 85% of married women claim that their husband's mother is the biggest bone of contention in their marriages (sex and money are lower-rated areas of contention). Suppose that eight married women are having coffee together one morning. Find the following probabilities. (For each answer, enter a number. Round your answers to three decimal places.)

(a) All of them dislike their mother-in-law.

(b) None of them dislike their mother-in-law.

(c) At least six of them dislike their mother-in-law. (d) No more than five of them dislike their mother-in-law.

People in the aerospace industry believe the cost of a space project is a function of the mass of the major object being sent into space. Use the following data to develop a regression model to predict the cost of a space project by the mass of the space object. Determine r2 and se

Weight (Tons) cost (millions

1.897 $53.6

3.019 185.1

0.453 6.4

0.994 23.5   

1.058 34.1

2.100 110.4

2.402 104.6

ŷ = enter a number rounded to 4 decimal places  * + enter a number rounded to 4 decimal places * x
r² = enter a number rounded to 3 decimal places  **
s_e = enter a number rounded to 3 decimal places  **

A researcher wishes to​ estimate, with 95​% ​confidence, the population proportion of adults who are confident with their​ country's banking system. His estimate must be accurate within 5​% of the population proportion.

​(a) No preliminary estimate is available. Find the minimum sample size needed.

n=

​(b) Find the minimum sample size​ needed, using a prior study that found that 22​%

of the respondents said they are confident with their​ country's banking system.

n=

​(c) Compare the results from parts ​(a) and choose one

A.Having an estimate of the population proportion has no effect on the minimum sample size needed.

B.Having an estimate of the population proportion reduces the minimum sample size needed.

C.Having an estimate of the population proportion raises the minimum sample size needed.

In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 53.5 inches, and standard deviation of 6 inches.

A) What is the probability that a randomly chosen child has a height of less than 65 inches?

Answer= (Round your answer to 3 decimal places.)

B) What is the probability that a randomly chosen child has a height of more than 55.2 inches?

Answer= (Round your answer to 3 decimal places.)

The age distribution of the Canadian population and the age distribution of a random sample of 455 residents in the Indian community of a village are shown below.

Use a 5% level of significance to test the claim that the age distribution of the general Canadian population fits the age distribution of the residents of Red Lake Village.

(a) What is the level of significance?


State the null and alternate hypotheses.

H₀: The distributions are the same.
H₁: The distributions are the same.H₀: The distributions are different.
H₁: The distributions are different.    H₀: The distributions are the same.
H₁: The distributions are different.H₀: The distributions are different.
H₁: The distributions are the same.

(b) Find the value of the chi-square statistic for the sample. (Round your answer to three decimal places.)


Are all the expected frequencies greater than 5?

YesNo    

What sampling distribution will you use?

uniformbinomial    chi-squarenormalStudent's t

What are the degrees of freedom?


(c) Estimate the P-value of the sample test statistic.

P-value > 0.1000.050 < P-value < 0.100    0.025 < P-value < 0.0500.010 < P-value < 0.0250.005 < P-value < 0.010P-value < 0.005

(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis that the population fits the specified distribution of categories?

Since the P-value > α, we fail to reject the null hypothesis.Since the P-value > α, we reject the null hypothesis.    Since the P-value ≤ α, we reject the null hypothesis.Since the P-value ≤ α, we fail to reject the null hypothesis.

(e) Interpret your conclusion in the context of the application.

At the 5% level of significance, the evidence is insufficient to conclude that the village population does not fit the general Canadian population.At the 5% level of significance, the evidence is sufficient to conclude that the village population does not fit the general Canadian population.    

ou have been tasked with reviewing product consistency regarding the packaging of plain M&M’s candy. Your job is to determine if the number of blue, green, brown, orange, and yellow M&M’s in each bag is relatively equal. Obviously, not every bag will contain the exact same number of M&M’s, divided into equal quantities. However, as part of your quality control responsibilities you want to determine if there is a significant difference in the number of colors in each bag. After all, you don’t want customers to open a bag and only receive primarily one or two colors. You could use a one variable chi-square test to analyze your research question: is the number of blue, green, brown, orange, and yellow M&M’s significantly different? Your stated null and alternative hypotheses would look like this: Ho: There is no significant difference between the number of blue, green, brown, orange, and yellow M&M’s per bag. H1: There is a significant difference between the number of blue, green, brown, orange, and yellow M&M’s per bag. Next, we would move through the steps required to complete the chi-square test. Class: How would you conduct this analysis? What are the steps that we must follow?