Question

In: Statistics and Probability

Facebook penetration values (the percentage of a country’s population that are Facebook users) for 15 randomly...

  1. Facebook penetration values (the percentage of a country’s population that are Facebook users) for 15 randomly selected countries are: 52.56, 33.09, 5.37, 19.41, 32.52, 41.69, 51.61, 30.12, 39.07, 30.62, 38.16, 49.35, 27.13, 53.45, 40.01.
    1. Give point estimates for the population mean Facebook penetration (µ), and the population standard deviation of Facebook penetration (σ).
    2. Construct a 95% confidence interval estimation for µ. Interpret.
    3. Construct a 95% confidence interval estimation for σ. Interpret.
    4. What assumptions do you need to make about the population so that the

confidence intervals given in (b) and (c) are valid?

Solutions

Expert Solution

d. The assumptions needed to construct this confidence intervals are

1. The selected samples should be randomly and independently selected.

2. The samples should be approximately normally distributed.

orchestra answered 1 year ago
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