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

10.1

9.

Right-tailed test; Population Mean

10.

Left-tailed test; Population Proportion

11.

Two-tailed test; Population Standard Deviation

12.

Right-tailed test; Population Proportion

13.

Left-tailed test; Population Mean

14.

Two-tailed test; Population Standard Deviation

15.

Ho: Population Proportion = 0.105

H1: Population Proportion > 0.105

16.

Ho: Population Mean = $17,072

H1: Population Mean is not equal to $17,072

17.

Ho: Population Mean = $218,600

H1: Population Mean < $218,600

18.

Ho: Population Proportion = 32 ounces

H1: Population Proportion < 32 ounces

19.

Ho: Population Standard Deviation = 0.7 psi

H1: Population Standard Deviation < 0.7 psi

20.

Ho: Population Proportion = 0.196

H1: Population Proportion > 0.196

21.

Ho: Population Mean = $47.47

H1: Population Mean is not equal to $47.47

10.2

7.

  1. z = 2.31
  2. P-value = 0.0104
  3. We reject the null hypothesis

9.

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

11.

  1. z = -1.49
  2. P-value = 0.1362
  3. We do not reject the null hypothesis.

13.

P-value in this case means that about 27 out of 100 samples will result in a sample proportion as high or higher than the sample proportion if the population proportion was 0.5. The probability is not small, so we do not reject the null hypothesis. We cannot conclude whether the dart-picking strategy would result in majority winners.

15.

  1. Test statistic: z = 0.652; Critical value = 2.32

  2. We do not reject the null hypothesis.

17.

  1. Test statistic: z = 1.09; Critical value = 1.645

  2. We do not reject the null hypothesis.

19.

  1. Test statistic: z = 2.6; Critical value = 1.645

  2. We reject the null hypothesis