Note: \(\mu\) \(\sigma\)

10.1

9.

Right-tailed,μ.

10.

Left-tailed,p.

11.

Two-tailed,σ.

12.

Right-tailed,p.

13.

Left-tailed,μ.

14.

Two-tailed,σ.

15.

Ho: p = 0.105

H1: p > 0.105

17.

Ho: μ = $218,600

H1: μ < $218,600

19.

Ho: σ = 0.7 psi

H1: σ < 0.7 psi

21.

Ho: μ = $47.47

H1: μ ≠ $47.47

10.2

7.

  1. z = 2.31.
  2. p = 0.0104.
  3. We rejct the null hypothesis.

9.

  1. z = -0.74.
  2. p = 0.2296.
  3. We do not reject the null hypothesis.

11.

  1. z = -1.49.
  2. p = 0.1362.
  3. We do not rejct the null hypothesis.

13.

Approximately 27 out of 100 samples give a sample proportion as high or higher that the one obtained if the population proportion really is 0.5. Due to this probability not being small, we do not reject the null hypothesis. There is not sufficient evidence to conclude that the dart-picking strategy resulted in a majority of winners.

15.

  1. z = 0.65; critical value = 2.33

  2. We do not reject the null hypothesis.

17.

  1. z = 1.09; critical value = 1.645

  2. We do not reject the null hypothesis.

19.

  1. z = 2.60; critical value = 1.645
  2. We reject the null hypothesis.