1.In a given hypothesis test, the null hypothesis can be rejected at the 0.10 and 0.05 level of significance, but cannot be rejected at the 0.01 level. The most accurate statement about the p-value for this test is

1. a.p-value = 0.01
2. b.p-value = 0.10
3. c.0.01 < p-value < 0.05
4. d.0.05 < p-value < 0.1

2. Which of the following is not true about the t-distribution?

1. a.It has a greater spread than the standard normal distribution.
2. b.It increasingly resembles the standard normal distribution as degrees of freedom increase.
3. c.It has a mean of zero.
4. d.It is not a symmetric distribution when degrees of freedom are sufficiently small.

Refer to the following study when answering questions 3 to 7  

Scientists fear that polar bears are slowly starving due to their shrinking habitat. A healthy male polar bear weighs about 920 lbs. A study was able to estimate the weight of eight male polar bears. It was found that the average weight was 885 lbs with a standard deviation of 55 lbs. 

3.What are the null and alternative hypotheses for this test?

4.What is the t-statistic? (Round to the nearest decimal number with two decimal places.)

5.What is the p-value? (Round to the nearest decimal number with three decimal places.)

6. Should the null hypothesis be rejected at the significance level  = 0.01?

1. a.Yes.
2. b.No.
3. c.Cannot be determined.

7. Let the significance level  What should the investigator conclude?

1. a.The average weight of male polar bears has dropped significantly.
2. b.Polar bears are starving because the sample mean weight was less than the hypothesized population mean weight. 
3. c.There is no evidence that male polar bears weigh less than 920 lbs on average.