Skip to content
Solved Assignments

Hypothesis Testing and Statistical Inference: Analyzing Differences in Means

Explores hypothesis testing and mean comparisons in statistics.

Preview 2 of 4 pages

See the first 2 pages exactly as they appear in the document.

  1. Page 1
    Read page 1 as text

    Hypothesis Testing and Statistical Inference: Analyzing Differences in Means 1. A shoe company wants to compare two materials, A and B, for use on the soles of boys' shoes. In this example, each of ten boys in a study wore a special pair of shoes with the sole of one shoe made from Material A and the sole on the other shoe made from Material B. The sole types were randomly assigned to account for systematic differences in wear between the left and right foot. After three months, the shoes are measured for wear. Let Ho: μ d = 0 versus Ha: μ d ≠ 0. From this random sample of 10 boys, the sample mean difference was 0.41 and S d was 0.387. What is the value of the test statistic? A) t = 0.00 B) t = 3.18 C) t = 3.35 D) t = 4.74 Feedback: First, recognize that this is a paired t - test. Then the t test statistic is 3.35 and is found by taking the sample mean difference minus the hypothesized value then dividing by the standard error (not standard deviation!). This, then, is (0.41 - 0)/(0.387/sq.rt. 10) or 0.41/0.122 = 3.35 Points Earned: 1.0/1.0 2. A shoe company wants to compare two materials, A and B, for use on the soles of boys' shoes. In this example, each of ten boys in a study wore a special pair of shoes with the sole of one shoe made from Material A and the sole on the other shoe made from Material B. The sole types were randomly assigned to account for systematic differences in wear between the left and right foot. After three months, the shoes are measured for wear. Let Ho: μ d = 0 versus Ha: μ d ≠ 0. From this random sample of 10 boys, the sample mean difference was 0.41 and S d was 0.387. If the p - value for this test is 0.009, then for a significance level of alpha = 0.05, are the results statistically significant? A) No, results are not statistically significant because the p - value < 0.05. B) Yes, results are statistically significant because the p - value < 0.05. C) No, results are not statistically significant because the p - value > 0.05 D) Yes, results are statistically significant because the p - value > 0.05. Feedback: Yes, results are statistically significant because the p - value < 0.05. Points Earned: 1.0/1.0 3. Which of the following is not one of the steps for hypothesis testing?

  2. Page 2

2 more pages in the full document

Unlock it once and it stays in your library, ready to chat with or turn into flashcards.

Unlock the full document

More Statistics study materials

See all

Study this document with CramX

Once it is in your library, every tool can work from it.