Question

In: Statistics and Probability

Consider two populations. A random sample of 28 observations from the first population revealed a sample...

Consider two populations. A random sample of 28 observations from the first population revealed a sample mean of 40 and a sample standard deviation of 12. A random sample of 32 observations from the second population revealed a sample mean of 35 and a sample standard deviation of 14.

  1. (a) Using a .05 level of significance, test the hypotheses !H0 : μ1 − μ2 = 0 and !H1 : μ1 − μ2 ≠ 0, respectively. Explain your conclusions.

  2. (b) What is the p-value of your result in part (a)? Interpret the p-value.

  3. (c) Construct a 95% confidence interval for the difference between μ! 1 and !μ2. Interpret the

    confidence interval.

  4. (d) Explain the relationship between your answers in parts (a) and (c).

Solutions

Expert Solution

We are 95% confident that the difference between population means lies between -1. 789 to 11.789..

Part a and part c gives the same conclusion.

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orchestra answered 1 year ago
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