Note: You don’t actually have to do the tests.
1. In 1999, the average percentage of woman who received prenatal care per country is 80.1%. The table contains the percentage of woman receiving prenatal care in 2009 for a sample of countries. Do the data show that the average percentage of woman receiving prenatal care in 2009 is higher than in 1999? Test at the 5% level.
Percentage of Woman Receiving Prenatal Care
70.08 72.73 74.52 75.79 76.28 76.28 76.65 80.34 80.60 81.90 86.30 87.70
87.76 88.40 90.70 91.50 91.80 92.10 92.20 92.41 92.47 93.00 93.20 93.40
93.63 93.68 93.80 94.30 94.51 95.00 95.80 95.80 96.23 96.24 97.30 97.90
97.95 98.20 99.00 99.00 99.10 99.10 100.00 100.00 100.00 100.00 100.00
A. Which test:
B. Null hypothesis:
C: Random Sample:
2. Eyeglassomatic manufactures eyeglasses for different retailers. They test to see how many defective lenses they made in a given time period and found that 11% of all lenses had defects of some type. Looking at the type of defects, they found in a three-month time period that out of 34,641 defective lenses, 5865 were due to scratches. Are there more defects from scratches than from all other causes? Use a 1% level of significance.
A. Which test:
B. Null hypothesis:
C: Random Sample:
3. In the United States, males between the ages of 40 and 49 eat on average 103.1 g of fat every day with a standard deviation of 4.32 g ("What we eat," 2012). The amount of fat a person eats is not normally distributed but it is relatively mound shaped. A random sample of 30, 40-49 year old males attending a football game are observed. Is there enough evidence to say males who attend football games eat more fat on average than the general population of males between 40 and 49 years old? Test at the 5% level.
G of fat consumes by 40-49 years old U.S. males
102 107 103 104 103 113 100 99 104 109 104 105 105
111 112 103 100 106 94 105 104 96 102 109 105
100 106 100 106 102
A. Which test:
B. Null hypothesis:
C: Random Sample:
4. The size of fish is very important to commercial fishing. A study conducted in 2012 found the length of Atlantic cod caught in nets in Karlskrona to have a mean of 49.9 cm and a standard deviation of 3.74 cm (Ovegard, Berndt & Lunneryd, 2012). The length of fish is normally distributed. A random sample of 30 fish from the fishing boat “Gale Force” were taken. Is there enough evidence to say they catch bigger fish than the rest of the fleet? Test at the 5% level.
Size of fish (cm) caught by Gale Force
45 47 55 52 56 45 54 54 53 61 50 48 45
58 48 47 49 55 48 48 47 44 45 53 44 50
55 58 48 55
A. Which test:
B. Null hypothesis:
C: Random Sample:
5. According to the February 2008 Federal Trade Commission report on consumer fraud and identity theft, 23% of all complaints in 2007 were for identity theft. In that year, Arkansas had 1,601 complaints of identity theft out of 3,482 consumer complaints ("Consumer fraud and," 2008). Does this data provide enough evidence to show that Arkansas had a higher proportion of identity theft than 23%? Test at the 5% level.
A. Which test:
B. Null hypothesis:
C: Random Sample:
6. The table contains pulse rates after running for 1 minute, collected from females who drink alcohol. The mean pulse rate after running for 1 minute of females who do not drink is 97 beats per minute. Do the data show that the mean pulse rate of women who do drink alcohol is higher than the mean pulse rate of females who do not drink? Test at the 5% level.
Pulse Rates of Woman Who Use Alcohol
176 150 150 115 129 160 120 125 89 132 120 120 68
87 88 72 77 84 92 80 60
A. Which test:
B. Null hypothesis:
C: Random Sample:
7. The mean starting salary for nurses is $67,694 nationally ("Staff nurse -," 2013). The standard deviation is approximately $10,333. The starting salary is not normally distributed but it is mound shaped. A sample of 42 starting salaries for nurses is taken from Tampa Bay area hospitals. Is there enough evidence to support a claim that Tampa Bay area nurses have a lower starting salary than nurses nationally? Test at the 5% level.
Starting Salary of Tampa Bay area nurses
60,302 66,382 68,446 64,822 75,664 58,834 83,294 66,119 55,772 53247 57562 71659 51780
84533 63410 54223 71555 75027 74234 88475 67374 66104 61339 72896 56692 72578
64605 68536 70885 75525 83183 66996 75130 52656 56176 75400 54550 59128 69278
77044 68255 63897
A. Which test:
B. Null hypothesis:
C: Random Sample:
8. In 2001, the Gallup poll found that 81% of American adults believed that there was a conspiracy in the death of President Kennedy’s assassination. In 2013, the Gallup poll asked 1,039 American adults if they believe there was a conspiracy in the assassination, and found that 634 believe there was a conspiracy. Do the data show that the proportion of American’s who believe in this conspiracy has decreased? Test at the 1% level.
A. Which test:
B. Null hypothesis:
C: Random Sample:
9. The FDA regulates that fish that is consumed is allowed to contain 1.0 mg/kg of mercury. In Florida, bass fish were collected in 53 different lakes to measure the amount of mercury in the fish. The data for the average amount of mercury in each lake is in the table. Do the data provide enough evidence to show that the fish in Florida lakes has more mercury than the allowable amount? Test at the 10% level.
Average Mercury Levels (mg/kg) in Fish
1.23 1.33 0.04 0.44 1.20 0.27 0.48 0.19 0.83 0.81 0.71 0.5
0.49 1.16 0.05 0.15 0.19 0.77 1.08 0.98 0.63 0.56 0.41 0.73
0.34 0.59 0.34 0.84 0.50 0.34 0.28 0.34 0.87 0.56 0.17 0.18
0.19 0.04 0.49 1.10 0.16 0.10 0.48 0.21 0.86 0.52 0.65 0.27
0.94 0.40 0.43 0.25 0.27
A. Which test:
B. Null hypothesis:
C: Random Sample:
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