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3. There are two machines available for cutting corks for use in wine bottles. The first produces corks with diameters that are normally distributed with an average of 3 cm and a standard deviation of 0.1 cm. The second machine produces corks with diameters that have a normal distribution with an average of 3.04 cm and a standard deviation of 0.02 cm. Acceptable corks have diameters between 2.9 and 3.1 cm.
a.Which machine is most likely to produce an acceptable cork? Justify your answer
b. Of the 1200 corks cut by the second machine in a working day, approximately, how many are not acceptable?

Bags of potato chips have a mean weight of 6 ounces with a standard deviation of 0.2 ounces. There are 100 bags of potato chips in a box.

(i) What is the probability that the total weight of the 100 bags is greater than 603 ounces?

(ii) A potato chip factory produces 1000 boxes of potato chips. What is the probability that more than 70 of these boxes contain more than 603 ounces of potato chips?

Answer the questions below using the appropriate statistical technique. For questions involving the use of hypothesis testing, you must:

1. State the null and research hypotheses

2. Provide the Z(critical), T(critical), or χ 2 (critical) score corresponding to the α threshold for your test

3. Provide your test statistic

4. Provide your decision about statistical significance

A random sample of 350 persons yields a sample mean of 105 and a sample standard deviation of 10. Construct three different confidence intervals to estimate the population mean, using 95%, 99%, and 99.9% levels of confidence. What happens to the interval width as the confidence level increases? Why?

1. A researcher is interested in studying the effect that the amount of fat in the diet and amount of exercise has on the mental acuity of middle-aged women. The researcher used three different treatment levels for the diet and two levels for the exercise. The results of the acuity test for the subjects in the different treatment levels are shown below.

Perform a Two-way analysis of variance (ANOVA) and report the results using correct APA style; report whether significance was found for Factor A, Factor B, and/or an interaction between Factors A and B was found.

If the test statistic is significant, run a post hoc test to determine between what groups significance was found.

Report an effect size for all significant results.

A Gallup poll conducted in November of 2011 asked the following question, “What would you say is the most urgent health problem facing this country at the present time?” The choices were access, cost, obesity, cancer, government interference, or the flu. The responses were access (27%), cost (20%), obesity (14%), cancer (13%), government interference (3%), or the flu (less than 0.5%). The following is an excerpt from the Survey Methods section. “Results for this Gallup poll are based on telephone interviews conducted Nov. 3-6, 2011, with a random sample of 1,012 adults ages 18 and older, living in all 50 U.S. states and the District of Columbia. For results based on a total sample of national adults, one can say with 99.7% confidence that the maximum margin of sampling error is ±4 percentage points.” Prompt Based on this poll, find a 95% confidence interval to estimate the percentage of U.S. adults who feel that access to healthcare is the most urgent health problem facing this country. Interpret your interval in context.

8.44 The mean time taken to design a house plan by 40 architects was found to be 23 hours with a standard deviation of 3.75 hours.

a. Construct a 98% confidence interval for the population mean μ.

b. Suppose the confidence interval obtained in part a is too wide. How can the width of this interval be reduced? Describe all possible alternatives. Which alternative is the best and why?

16. In a study of the effect of prenatal cocaine use on infants, the following sample data were obtained for weights at birth: n = 101, x 2700 grams  , and s = 645 grams (based on data from “Cognitive Outcomes of Preschool Children with Prenatal Cocaine Exposure,” by Singer et al., Journal of the American Medical Association, Vol. 291, No. 20). Use the sample data to construct a 95% confidence interval estimate of the standard deviation of all birth weights of infants born to mothers who use cocaine during pregnancy. Round to the nearest whole gram.

Use the following to answer 5 - 8.

Among the four northwestern states, Washington has 51% of the total population, Oregon has 30%, Idaho has 11%, and Montana has 8%. A market researcher selects a sample of 1000 subjects, with 450 in Washington, 340 in Oregon, 150 in Idaho, and 60 in Montana. At the .05 significance level, test the claim that the sample of 1000 subjects has distribution that agrees with the distribution of state populations.

5.) Which of the following is the correct statement for the claim?

6.) The test statistic is:

7.) The p-value is:

8.) The conclusion for this test is:

I'm doing a stats project on the correlation between the amount of hours a person sleeps and their weight; proving there is no correlation between sleep and weight gain. I have voluntary samples of people's weight and the hours they slept, and I need to list if the level of measurement is nominal or ordinal, confidence interval, and linear correlation test. how do I do this?

Even within a particular chain of hotels, lodging during the summer months can vary substantially depending on the type of room and the amenities offered. Suppose that we randomly select 50 billing statements from each of the computer databases of the Hotel A, the Hotel B, and the Hotel C chains, and record the nightly room rates. The means and standard deviations for 50 billing statements from each of the computer databases of each of the three hotel chains are given in the table.

(a) Find a 95% confidence interval for the difference in the average room rates for the Hotel A and the Hotel C chains. (Round your answers to two decimal places.)
$  to $  

(b) Find a 99% confidence interval for the difference in the average room rates for the Hotel B and the Hotel C chains. (Round your answers to two decimal places.)
$  to $  

(c) Do the intervals in parts (a) and (b) contain the value (μ₁ − μ₂) = 0?

Yes, the interval in part (a) contains (μ₁ − μ₂) = 0.Yes, the interval in part (b) contains (μ₁ − μ₂) = 0.    Yes, both intervals contain (μ₁ − μ₂) = 0.No, neither interval contains (μ₁ − μ₂) = 0.

Why is this of interest to the researcher?

If (μ₁ − μ₂) = 0 is contained in the confidence interval, it is implied that the room rate for one of the hotels was $0.If (μ₁ − μ₂) = 0 is contained in the confidence interval, it is implied that there is no difference in the average room rates for the two hotels.    If (μ₁ − μ₂) = 0 is contained in the confidence interval, it is implied that there was an error in the database records.If (μ₁ − μ₂) = 0 is contained in the confidence interval, it is implied that there is a difference in the average room rates for the two hotels.If (μ₁ − μ₂) = 0 is contained in the confidence interval, it is implied that the average room rate for the two hotels was $0.

(d) Do the data indicate a difference in the average room rates between the Hotel A and the Hotel C chains?

Yes, the data indicate a difference in the average room rates between the Hotel A and the Hotel C chains.No, the data do not indicate a difference in the average room rates between the Hotel A and the Hotel C chains.    

Do the data indicate a difference in the average room rates between the Hotel B and the Hotel C chains?

Yes, the data indicate a difference in the average room rates between the Hotel B and the Hotel C chains.No, the data do not indicate a difference in the average room rates between the Hotel B and the Hotel C chains.   

The accompanying data table lists the magnitudes of 50

earthquakes measured on the Richter scale. Test the claim that the population of earthquakes has a mean magnitude greater than 1.00.

0.720, 0,740, 0.640, .390, .700, 2.200, 1.980, .640, 1.220, .200, 1.640, 1.320, 2.950, .900, 1.760, 1.010, 1.260, 0.000, .650, 1.460, 1.620, 1.830, .990, 1.560, .390, 1.280, .830, 1.350, .540, 1.250, .920, 1.000, .780, .790, 1.440, 1.000, 2.240, 2.500, 1.790, 1.250, 1.490, .840, 1.000, 1.250, 1.420, 1.350, .930, .400, 1.390

Use a 0.01 significance level. Identify the null​ hypothesis, alternative​ hypothesis, test​ statistic, P-value, and conclusion for the test. Assume this is a simple random sample.

a. Identify the test statistic. (Round to two decimal places as needed.)

b. Identify the P-value. (Round to three decimal places as needed.)

Match the confidence level with the confidence interval for μ. _______ _____ 1. x̄ ± 2.575( σ ) √? _____ 2. x̄ ± 1.96( σ ) √? _____ 3. x̄ ± 1.645( σ ) √? A. 90% B. 95% C. 99%

What is the business value of Analytics? Discuss using examples outlined in the article "Competing of Analytics"

Develop a C-code to calculate average, median and standard deviation, using 5 numbers as data you input from the keyboard from calculations and compare program output with the hand calculations shown with formula for average, median & standard deviation..

Use suggested approach below for developing the code (other approaches are also possible):

In main     define an array of size = 5,

Read in 5 decimal numbers and print the chosen numbers for input; Store input as a array and work with the array only;

define a pointer pointing to the beginning of an array,

pass the array using pointer to function to function_average to compute ‘average’ that is passed back to main;

pass the array using pointer to function to function_median to compute ‘median’ that is passed back to main;

pass the array using pointer to function_standard_derivation to compute ‘standard deviation’ that is pass bac to main;

print results of the computed ‘average’, ‘median’ and ‘standard deviation’ with words of

‘Average of the input five numbers are’, ‘Median of the input five numbers is’ and ‘Standard Deviation of the input five numbers is”

Create function_average

Create function_median,

Create function_standard_derivation