An article used a multiple regression model with four independent variables to study accuracy in reading liquid crystal displays. The variables were

The model fit to data was Y = β₀ + β₁x₁ + β₂x₂ + β₃x₃ + β₄x₄ + ε. The resulting estimated coefficients were ₀ = 1.52, ₁ = 0.01, ₂ = −1.40, ₃ = 0.02, ₄ = −0.0009.

(a) The estimated model was based on n = 30 observations, with SST = 39.5 and SSE = 22. Calculate the coefficient of multiple determination. (Round your answer to three decimal places.)

(b)Calculate the test statistic using α = 0.05. (Round your answer to two decimal places.)

In a random sample of five mobile​ devices, the mean repair cost was ​$90.00 and the standard deviation was ​$11.00. Assume the population is normally distributed and use a​ t-distribution to find the margin of error and construct a 95​% confidence interval for the population mean. Interpret the results.

The 95​% confidence interval for the population mean ​(76.34,103.66).

​(Round to two decimal places as​ needed.)

The margin of error is ​$____?? I NEED THIS ANSWER, OR EXPLAINED HOW TO FIGURE THIS PART OUT PLEASE

​(Round to two decimal places as​ needed.)

Sally and Mike are playing frisbee at the beach. When Sally throws the frisbee the probability is 0.14 that it comes back to Sally, the probability is 0.7 that it goes to Mike, and the probability is 0.16 that the dog runs away with the frisbee. When Mike throws the frisbee there is a 0.66 probability that Sally gets it, a 0.28 probability that it comes back to Mike, and a 0.06 probability that the dog runs away with the frisbee. Treat this as a 3--state Markov Chain with the dog being an absorbing state. If Mike has the frisbee, what is the expected value for the number of times Mike will throw the frisbee before the dog gets it? (Give your answer correct to 2 decimal places.)

1. Students took four different lengths of tests. The tests consisted of either 10, 15, 20, or 25 four-choice multiple-choice items. The teacher would like to give as many items as possible without taking up too much of the class period. A longer test will take more class time. Which test should the teacher pick, to have the most items on the test during the available class time?

Number of test items                                                              

            10                    15                    20                    25

            13                    17                    18                    16

            10                    5                      17                    21

            13                    13                    10                    28

            5                      14                    23                    32

            6                      11                    23                    24

            6                      12                    17                    12

            2                      3                      10                    9

            12                    16                    27                    18

            17                    18                    21                    18

            12                    8                      24                    9

            12                    14                    23                    5

            2                      7                      8                      15

            17                    13                    14                    10

            3                      16                    1                      7                     

            7                      14                    8                      30

            1                      18                    10                    5

Independent variable/s:

Levels of independent variable/s:

Dependent variable/s:

Test to use:

Which test do you think the teacher should pick?:

Value of Your test statistic:

p-value from test:

Please show all steps with answers so I can learn the process and understand where numbers came from. Thanks!

7. Comment on the descriptive statistics (i.e., means, standard deviations) and internal consistency reliabilities in the table below adapted from Erdogan and Bauer (2009) and summarize the correlation results, taking into account the strength, direction, and statistical significance of the bivariate relationships. (6 points)

Predictors (independent variables): Perceived over-qualification; empowerment Controls (independent variables): Age; tenure Dependent variables: Job satisfaction

Table 1

Descriptive Statistics, Correlations, and Scale Reliabilities

Note: N=244. Age and tenure were measured in years. Perceptions of over-qualification, empowerment, and job satisfaction were measured on a 7-point Likert-type scale. *p < .05. **p < .01.

The success of the Facebook business model depends on users clicking on ads when using the web site. A random sample of 260 Facebook users found that 169 of them click on the ads. Determine the 90% confidence interval for this sample is given by , . (There is a unique answer to this question. Use the z-score from the table. Do not round your answers in the preceding steps. Round the final answers to three decimal places)

The Fox TV network is considering replacing one of its prime-time crime investigation shows with a new family-oriented comedy show. Before a final decision is made, network executives commission a sample of 450 viewers. After viewing the shows, 200 indicated they would watch the new show and suggested it replace the crime investigation show.

1. Estimate the value of the population proportion. (Round your answers to 3 decimal places.)

2. Develop a 98% confidence interval for the population proportion. (Use z Distribution Table.) (Round your answers to 3 decimal places.)

A quality-conscious disk manufacturer wishes to know the fraction of disks his company makes which are defective.

Step 1 of 2:

Suppose a sample of 884 floppy disks is drawn. Of these disks, 796 were not defective. Using the data, estimate the proportion of disks which are defective. Enter your answer as a fraction or a decimal number rounded to three decimal places.

Step 2 of 2:

Suppose a sample of 884 floppy disks is drawn. Of these disks, 796 were not defective. Using the data, construct the 98% confidence interval for the population proportion of disks which are defective. Round your answers to three decimal places.

Prob 1 Using a standard deck of cards, calculate the following probabilties. (denote your answers in decimals) a) drawing

a) red queen

b) drawing two red queens

c) drawing a diamond or a king

d) drawing a red card or a black card

e) Are queens and kings mutually exclusive?

A farmer wanted to know if the amount of feed consumed by his chickens would be affected by the presence or absence of hatchlings. Two groups of chickens were raised from hatching either singly or in a group of five hatch-mates. At the age of six weeks, all subjects were placed in a small cage with a same-aged, group-reared chicken (in the case of group-reared subjects, the test chicken was from a different group). The following data represents the amount of grain consumed (in grams) during a 30-minute test period.

Group reared                                 Individually reared

            35                                                        9

            27                                                        16

            29                                                        13

            9                                                          13

            37                                                        26

            25                                                        11

            28                                                        5

            26       

            45

            19

Independent variable/s:

Levels of independent variable/s:

Dependent variable/s:

Test to use:

Does the presence of hatch-mates affect the amount of food consumed in the trial period?

Value of YOUR test statistic

p-value from test:

Please show steps with answers so I can understand where numbers came from.

1. Using graphing software such as Excel^®, graph the results of Activity 1. Please see the Introduction to Graphing manual for guidance.

             a. What are the two variables that you graphed?

             b.Which is the independent variable? Should it be on the X- or Y-axis? Why?

             c. Which is the dependent variable? Should it be on the X- or Y-axis? Why?

Note: This a chemistry experiment, where we try to dissolve a Alka-Seltzer^® tablet in 3 different temp of water. C = Cold , RT = Room temp, H = Hot. Then we record the time the tablet takes to dissolve in each cup of water (we do this 3 times for each cup with different temp). I know that the independent variable is the temp and the dependent variable is the time the tablet takes to dissolve, but I do not know how to graph the data on Excel or which needs to be on the x or y axis.

Carol is running on the cross-country team, and she's really good at that too! It is estimated that Carol has a 60% probability of winning any race that she enters. There are five races left this year.

1.) What is the probability that Carol wins all five races?

2.) Following the same assumptions, what is the probability that Carol loses all five races?

3.) Why don't the answers to the previous two problems add up to 100%?

4.) Finally, what is the probability that Carol wins at least one race?

A medical rehabilitation foundation reports that average cost of rehabilitation for stroke victims is $23,672. A researcher wishes to find out the average costs of rehabilitation by selecting a random sample of 35 stroke victims and finds their average cost to be $24,226. The standard deviation of the population is $3251. At an alpha level of 0.01, can it be concluded that the average cost of stroke rehabilitation at a particular hospital is different from $23,672?

For the following below you should decide

a) What test would you use?

b) Why would you use this test?

1. You want to know if major in university and tolerance of ambiguity are related. You choose 60 people (20 science majors, 20 humanities majors and 20 phys ed majors) and give them a test which measures their tolerance for ambiguity. You them separate them into low, moderate and high tolerance groups.

2. You wonder if the amount of time it takes a person to learn a new language is related to their age. You ask an instructor at an ESL (English as a second language) school to record the age of 40 new students and how long it took for them to become functionally literate.

3. You work for a manufacturer of fake finger nails. Your boss is interested in knowing if a new procedure can reduce the costs of making these nails. You randomly select the operating costs for 10 days at your plant and compare them to the cost for 10 days randomly selected from another plant that has switched to the new system. The old system had an average daily cost of $5400 with a variance of 120. The new system had an average daily cost of $5210 with a variance of 730.

what is a moving average?