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

10.1

9.

Right-Tailed, \(\mu\)

10.

Left-Tailed, P

11.

Two-Tailed, \(\sigma\)

12.

Right-Tailed, P

13.

Left-Tailed, \(\mu\)

14.

Two-Tailed, \(\sigma\)

15.

Ho: p=0.105

H1: p>0.105

17.

Ho: \(\mu\)=218,600

H1: \(\mu\)<218,600

19.

Ho: \(\sigma\)=0.7

H1: \(\sigma\)<0.7

21.

Ho: \(\mu\)=47.47

H1: \(\mu\) not equal to 47.47

10.2

7.

  1. z=2.315, z0.05=1.645
  2. P(z>2.315)=0.0104
  3. There is sufficient evidence at the alpha=0.05 level of significance to reject the null hypothesis.

9.

  1. z=-0.739, z0.1=1.285
  2. P(z>-0.739)=0.7704
  3. Do not reject the null hypothesis.

11.

  1. z=-1.491, z0.025=1.96
  2. P(z>-1.491)=0.9319
  3. Do not reject the null hypothesis.

13.

About 27 in 100 samples will give a sample proportion as high or higher than the one ovtained if the population proportion really is 0.5. Because this probability is not 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=0.646, P(z>0.646)=0.2578, 0.2578>0.01 z0.01=2.325, 0.646<2.325

  2. There is not sufficient evidence at the alpha=0.01 level of significance to conclude that more than 1.9% of Liptor users experience flulie symptoms as a side effect.

17.

  1. z=1.092, z0.05=1.645, 1.092<1.645 p=0.1379, 0.1379>0.05

  2. There is not sufficient evidence at the alpha=0.05 level of significance to conclude that a majority of adults in the United States believe they will not have enough money in retirement.

19.

  1. z=2.604, z0.05=1.645, 2.604>1.645 p=0.0047, 0.0047<0.05

  2. There is sufficient evidence at the alpha=0.05 level of significance to support the claim that the proportion of employed adults who feel basic mathematical skills are critical or very important to their job is greater than 0.56.