Use the following information for the next four problems. A researcher is interested in estimating the mean...

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Statistics

  1. Use the following information for the next fourproblems. A researcher is interested in estimating themean salary of public school teachers in a particular region. Arandom sample of 9 teachers is selected and the salary of each oneis recorded. The researcher calculates a sample mean of $45,000 anda sample standard deviation of $1,600. Assume that the salaries inthe population vary according to a normal distribution.

    The mean salary of all public school teachers in the region is a__________ while the sample mean $45,000 is a __________.

    a.

    parameter, statistic

    b.

    statistic, parameter

    c.

    parameter, parameter

    d.

    statistic, statistic

  2. Calculate a 95% confidence interval to estimate the meansalary.

    a.

    $45,000  $348.44

    b.

    $45,000  $1,206.40

    c.

    $45,000  $1,229.87

    d.

    $45,000  $1,045.33

  1. Suppose, instead, that a larger sample of teachers had beenselected while still using the 95% confidence level. The newconfidence interval, based on the larger sample, would be__________ the interval in the previous problem.

    a.

    shorter than

    b.

    the same length as

    c.

    longer than

Answer & Explanation Solved by verified expert
4.4 Ratings (567 Votes)
1 The mean salary of all public school teachers in the region is a parameter while the sample mean 45000 is a statistic option A is true 2 using excel we have    See Answer
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