10.1

9.

Testing the mean of the population. Right tailed test.

10.

Testing the proportion of the population. Left tailed test.

11.

Testing the standard deviation of the population. Two tailed test.

12.

Testing the proportion of the population. Right tailed test.

13.

Testing the mean of the population. Left tailed test.

14.

Testing the standard deviation of the population. Two tailed test.

15.

Ho: p=0.399

H1: p>0.399

Type 1 error is believing that the proportion of students who enroll the college and earn a bachelors degree within six years is greater than 0.399, where in fact it is not. Type 2 error would be believing that the proportion of students who enroll the college and earn a bachelors degree within six years is not greater than 0.399 when in fact, it is.

17.

Ho: population mean = 245,700

H1: population mean < 245,700

type 1 error would be believing that the home price is lower than 245,700 when in fact, it is not. Type 2 error is believing that the home price is not lower than 245,700 when in fact, it is.

19.

Ho: population standard deviation = 0.7

H1: population standard deviation < 0.7

type 1 error is beliving that the pressure had been reduced when in fact it has not. Type 2 error would be concluding that the pressure has not been reduced when in fact, it has.

21.

Ho: population mean = 48.79

H1: population mean =/ (does not equal) 48.79

type 1 error would be concluding that there is a change in the mean monthky revenue per cell phone today where in fact, there is not. A type 2 error would be concluding that there is not a change in the mean monthly revenue per cell phone where in fact, there is.

10.2

7.

  1. test statistic = 2.31
  2. p value = 0.0104
  3. reject null

9.

  1. test statistic = -0.74
  2. p value = 0.2296
  3. fail to reject null

11.

  1. test statistic = -1.49
  2. p value = 0.1362
  3. fail to reject null

13.

This p value here 0.2743 means that if the null is true, the same result would be expected in 27/28 out of 100 samples. the observed results are rare/unusual becuase 53 companies were considered winners so therefore we fail to reject the null hypotheses.

15. Note this is slightly modified version of the book problem Just answer a) b) and c) fromt the skeleton.

  1. 320/678 = 0.472

Ho: p=0.5

H1: p<0.5

  1. test statistic is -1.45 and p value is 0.0735

17.

  1. test statistic = 0.65. The critical value is 2.33 and the p value is 0.2578.

  2. We fail to reject the null so therefore there is no change and there is no evidence to say that more than 1.9% of patients taking lipitor are experiencing flu like symptoms. This is becuase the test statistic 0.65 is not within the reject region of the critical value value 2.33 and the p value 0.2578 is not less than the alpha value 0.05.

19.

  1. the test statisic = 2.69. the critical value is 1.645 and the p value is 0.0036.

  2. We reject the null hypothesis becuase the test statistic is within the reject region of the critical value of 1.645 and the p value 0.0036 is less than the aplha 0.05. This means that hawaii did in fact have a higher proportion of traffic fatilities involving a postitive BAC than the united states.