hello, I have 33 statistics questions.

  1. Given the confidence interval for the mean: 34.70 < μ < 51.90. Find the margin of error, E.

21.08.6    17.29.524.213.212.143.3

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  1. A sample set is normally distributed with a mean of 66 and a standard deviation of 8.
    Find a z-score corresponding to a given value of 82.

1.4-1.6    2.0-2.01.8-1.8-1.41.6

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  1. A sample set is normally distributed with a mean of 66 and a standard deviation of 8.
    Find a z-score corresponding to a given value of 82.

1.4-1.6    2.0-2.01.8-1.8-1.41.6

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  1. Find the equation of the regression line for the paired data: (6,2), (8,4), (20,13), (28,20), (36,30).

y = 3.79x + 0.879y = -3.79 + 0.897    y = -3.79 - 0.879xy = -3.79x + 0.879y = -3.79 - 0.897xy = 0.897x - 3.79y = -2.79 + 0.897xy = -3.79x + 0.897

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  1. Find the equation of the regression line for the paired data: (2,7), (4,11), (5,13), (6,20).

y = 0.15x + 3.0y = 2.8 + x    y = 3.0xy = 2.8xy = 0.15 + 3.0xy = 3.0 + xy = 0.15x + 2.8y = 0.15 + 2.8x

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  1. If r = 0.59, then calculate the coefficient of determination.

0.5900.562    0.3480.7680.6520.3840.4100.295

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  1. Find the explained variation for the paired data: (5,64), (2,48), (9,72), (6,73), (10,80).

323.11197.236    488.221511.724498.103307.90887.476599.20

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  1. Find the total variation for the paired data: (5,64), (2,48), (9,72), (6,73), (10,80).

599.20488.221    87.48323.111307.908511.72498.10222.8897.236

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  1. Find the odds against correctly guessing the answer to a multiple-choice question with 8 possible answers.

7 : 84 : 4    8 : 78 : 11 : 71 : 11 : 87 : 1

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  1. Find the variance of the following: 12.0, 9.5, 10.5, 18.4, 33.1, 41.7, 50.6, 29.9, 23.0

201.171657.1901    25.411175.19211.171614.53914.53241.10

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  1. Choose the true statement.

If a null hypothesis is rejected for a test statistic at the α=0.05 level, then at the α=0.01 level it would always reject.If a null hypothesis is rejected for a test statistic at the α=0.05 level, then at the α=0.01 level it would never reject.    If a null hypothesis is rejected for a test statistic at the α=0.05 level, then at the α=0.01 level it may or may not reject.

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  1. Find the critical z value(s) used to test the null hypothesis: α = 0.010 for a right-tailed test.

±2.326-2.326    ±1.9601.282±1.282-1.2821.9602.326

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  1. Find the critical z values used to test the null hypothesis: α = 0.20 for a two-tailed test.

±0.25±1.65    ±1.28±1.76±2.58±0.84±2.33±1.94

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  1. The sample mean for a data set is 7.691, where n = 72 and s = 2.004. The data is approximately normal and σ is unknown. Should we use a t distribution, a normal distribution, or neither to test the null hypothesis?

Normal distributiont distribution    Neither

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  1. Five hundred sixteen (516) homes in a certain southern California community are randomly surveyed to determine if they meet minimal earthquake preparedness recommendations. One hundred seventy-five (175) of the homes surveyed met the minimum recommendations for earthquake preparedness and 341 did not.
    Find the point estimate for the population proportion of homes that do not meet the minimum recommendations for earthquake preparedness. (Round your answer to four decimal places.)

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  1. A study of class attendance and grades among first-year students at a state university showed that in general students who attended a higher percent of their classes earned higher grades. Class attendance explained r2 = 16% of the variation in grade index among the students. What is the numerical value of the correlation between percent of classes attended and grade index? (Use 2 decimal places.) 
    r = 

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  1. The points on a scatterplot lie very close to the line whose equation is y = 7 − 6x. What is the slope of this line?

6-7    -0.86-60.867


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  1. The Dow Jones Industrial Average (DJIA) high values and the total number of points scores in the Super Bowl were recorded for 20 different years. Software was used to find that the value of the linear correlation coefficient is r = -0.87.


Is there a linear correlation at the α = .05 level between DJIA high value and Super Bowl points?

Yes, because the absolute value of -0.87 is less than the critical value.Yes, because the absolute value of -0.87 is greater than the critical value.    No, because the absolute value of -0.87 is less than the critical value.No, because the absolute value of -0.87 is greater than the critical value.Not enough information.

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  1. Internet search sites compete for users because they sell advertising space on their sites and can charge more if they are heavily used. Choose an Internet search attempt at random. Here is the probability distribution for the site the search uses:

    Site

    Google

    Microsoft

    Yahoo

    Ask Network

    Others

    Probability

    0.67

    0.18

    0.10

    0.02

  2. What is the probability that a search attempt is made at a site other than the leading four?

0.360.03    0.97Cannot be determined from the information given.

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  1. Internet search sites compete for users because they sell advertising space on their sites and can charge more if they are heavily used. Choose an Internet search attempt at random. Here is the probability distribution for the site the search uses:

    Site

    Google

    Microsoft

    Yahoo

    Ask Network

    Others

    Probability

    0.67

    0.17

    0.09

    0.02

  2. What is the probability that a search attempt is directed to a site other than Google?

0.950.33    0.05Cannot be determined from the information given.

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Given a normal distribution with σ = 1.870. Find the required sample size for a 90% confidence level (estimating the mean) with a 1.16margin-of-error. 

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  1. A researcher is testing the effects of plant food on plant growth. Nine plants have been given the plant food. Another nine plants have not been given the plant food. The heights of the plants are recorded after eight weeks. The populations have normal distributions. The following table is the result. The researcher thinks the food makes the plants grow taller.

Plant Group

Sample Mean Height of Plants (inches)

Population Standard Deviation

Food

16

2.5

No food

14

1.5


At the 1% significance level, what is your conclusion?

There is not sufficient evidence from the sample data to conclude that the plant food does not increase the plants' heights more than not feeding the plants.There is sufficient evidence from the sample data to conclude that the plant food increases the plants' heights more than not feeding the plants.    There is not sufficient evidence from the sample data to conclude that the plant food increases the plants' heights more than not feeding the plants.There is sufficient evidence from the sample data to conclude that the plant food does not increase the plants' heights more than not feeding the plants.

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  1. Because elderly people may have difficulty standing to have their heights measured, a study looked at predicting overall height from height to the knee. Here are data (in centimeters) for six elderly men:

Knee height x

57.7

47.4

43.5

44.8

55.2

54.6

Height y

192.1

153.3

146.4

162.7

169.1

177.8

A strong correlation regression equation for predicting the height of a subject from their knee height is given by:

height = 42.93 + 2.45 * knee height

Use this to predict the height of a person with a knee height of 43 cm. (Enter your answer to two decimal places.)
 cm

  1. Advanced melanoma is a serious type of skin cancer. One treatment is genetically engineering white blood cells to better recognize and destroy cancer cells, then infuse these cells into patients. The subjects in a small initial study were 11 patients whose melanoma had not responded to existing treatments. One question was how rapidly the new cells would multiply after infusion, as measured by the doubling time in days.

1.4

1.0

1.3

1.0

1.3

2.0

0.6

0.8

0.7

0.9

1.9

What is the interquartile range for this data?

0.4 day0.6 day    0.8 day1.3 days

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  1. On an exam with a mean of μ = 70, you have a score of X = 75. Which of the following values for the standard deviation would give you the highest position within the class?

σ = 1σ = 5    σ = 10cannot determine from the information given

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  1. On an exam with a mean of μ = 70, you have a score of X = 65. Which of the following values for the standard deviation would give you the highest position within the class?

σ = 1σ = 5    σ = 10cannot determine from the information given

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  1. If every score in a population is multiplied by 3, then the population standard deviation will also be multiplied by 3.

TrueFalse    

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  1. Adding 10 points to every score in a distribution will not change the value of the standard deviation.

TrueFalse    

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  1. The value for the standard deviation cannot be larger than the value for the range.

TrueFalse    

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  1. For the scores shown in the following stem and leaf display, how many people had scores in the 70s?

12    34

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  1. A binomial distribution has a mean of μ = 12 for a sample of n = 60. What is the value of p?

12/60 = .2060/12 = 5.00    120.5

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  1. For a population with μ = 80 and σ = 12, the z-score corresponding to X = 74 is z =      .

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