1) A test is made of H0 : µ1 =67 versus H1 : µ1 ǂ67. A sample of size n=63 is drawn, and x=64. The population standard deviation is s= 27. Compute the value of the test statistic z. 2) Construct a 99% confidence interval for the population standard deviation σ if a sample of size 23 has standard deviation s=16

3) Use the given data to construct a confidence interval of the requested level.

x = 80, n = 198, confidence level 99%

4) In a fish tank, there are 28 goldfish, 3 angelfish, and 17 guppies. If a fish is selected at random, find the probability that it is an angelfish or a guppy.

5) A survey asked 35,394 homeowners how many pets they owned. The results were as followed:

Number of pets number of Homweowners

0 5,908

1 11,207

2 10,900

3 6,636

4 or more 743

Total 35,394

What is the probability that a sampled homeowner has more than 1 pet?