Question

The utility bills (in dollars) of 10 randomly selected homeowners in one city are listed below....

  1. The utility bills (in dollars) of 10 randomly selected homeowners in one city are listed below. Construct a 95% confidence interval for the mean. Assume the population is normally distributed.

    70, 72, 71, 70, 69, 73, 69, 68, 70, 78

    (68.95, 73.05)

    (69.00, 78.00)

    (70.05, 72.95)

    (68.13, 73.87)

  2. Suppose a 98% confidence interval for μ turns out to be (1000, 2100). If this interval was based on a sample of size n = 22, find the value of the margin of error.

    1550

    550

    2100

    1000

  3. Construct a 95% confidence interval for the population standard deviation σ of a random sample of 15 crates which have a mean weight of 165.2 pounds and a standard deviation of 10.4 pounds. Assume the population is normally distributed.

    (7.6, 16.4)

    (58.0, 269.0)

    (2.4, 5.1)

    (8.0, 15.2)

  4. A survey of 700 non-fatal accidents showed that 167 involved uninsured drivers. Construct a 99% confidence interval for the proportion of fatal accidents that involved uninsured drivers. Round to the nearest thousandth.

    (0.197, 0.280)

    (0.297,0.380)

    (0.397,0.480)

    (0.497,0.580)

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