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    Statistics Problems

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    Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial:n = 6, x = 2, p = 0.45.

    0.278

    0.208

    0.003

    0.057

    Use the Poisson distribution to find the indicated probabilities. Currently, 11 babies are born in the village of Westport (population of 760) each year. Find the mean number of births per day.

    0.0301

    0.9700

    0.0297

    0.9699

    Comparing Scores. Three students take equivalent tests of a sense of humor and, after the laughter dies down, their scores are calculated. Which score is in the middle of the other two?
    1. A score of 144 on a test with a mean of 128 and a standard deviation of 34?
    2. A score of 90 on a test with a mean of 86 and a standard deviation of 18?
    3. A score of 18 on a test with a mean of 15 and a standard deviation of 5?

    Answer 1.

    Answer 2.

    Answer 3.

    Cannot determine from the information provided

    Comparing Scores. Three students take equivalent tests of a sense of humor and, after the laughter dies down, their scores are calculated. Which is the lowest relative score?
    1. A score of 144 on a test with a mean of 128 and a standard deviation of 34?
    2. A score of 90 on a test with a mean of 86 and a standard deviation of 18?
    3. A score of 18 on a test with a mean of 15 and a standard deviation of 5?

    Answer 1.

    Answer 2.

    Answer 3.

    Cannot determine from the information provided.

    The values in the table are measured maximum breadths of male Egyptian skulls from different time periods. Changes in head shape over time suggest that interbreeding occurred with immigrant populations. Use a 0.05 level of significance to test the claim that the different time periods do not all have the same mean.
    4000 B.C. 1850 B.C. 150 A.D.
    131 129 128
    138 134 138
    125 136 136
    129 137 139
    132 137 141
    135 129 142
    132 136 137
    134 138 145
    138 134 137
    The critical value of the statistic is?

    4.0497

    3.4028

    27

    Can not compute the critical value of the statistic from the given data.

    A student lives in a home with a solar electric system. At the same time each day, she collected voltage readings from a meter connected to the system and the results are listed in the accompanying table. Use a 0.05 significance level to test the claim that the mean voltage reading is the same for the three different types of day.
    Sunny Days Cloudy Days Rainy Days
    13.5 12.7 12.1
    13.0 12.5 12.2
    13.2 12.6 12.3
    13.9 12.7 11.9
    13.8 13.0 11.6
    14.0 13.0 12.2

    The critical value of the statistic is?

    38.0379

    3.6823

    18

    81.4

    In the 107th Congress, the Senate consists of 13 women and 87 men. If a lobbyist for the tobacco industry randomly selects three different senators, what is the probability that they are all women?

    0.17700

    0.01770

    0.00177

    0.82300

    You have just started your own Airline. You have one plane for a route connecting Austin, Boise, and Chicago. One route is Austin-Boise-Chicago and a second route is Chicago-Boise-Austin. How many other routes are possible?

    1.

    2.

    3.

    4.

    Determine whether the given value is a statistic or a parameter: A sample of students is
    selected and the average (mean number of textbooks purchased this semester is 4.2).

    Statistic.

    Parameter

    Identify which type of sampling is used:Exit Poll. CNN is planning an exit poll in which 100 polling stations will be randomly selected and all voters will be interviewed as they leave the premises.

    Random.

    Systematic.

    Convenience.

    Stratified.

    Cluster.

    © BrainMass Inc. brainmass.com June 3, 2020, 8:39 pm ad1c9bdddf
    https://brainmass.com/statistics/standard-error/147370

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    Solution Summary

    This posting provides solution to several types of statistics problems including elementary statistics, hypothesis testing, ANOVA, Sampling etc.

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