1)A tire manufacturer guarantees that the mean life of a certain type of tire is at least 30,000 miles. Write the null hypothesis.
2)Write the null and alternative hypotheses for the claim that .
3)Find the critical value(s) for a two-tailed z-test at ,
n = 96
4)What test for the mean do we use if we do not know the population standard deviation?
5)A cereal maker claims that the mean number of fat calories in one serving of its cereal is less than 20. Is this right-tailed, left-tailed, or two-tailed?
6)A company’s shipping department believes its employees monthly number of shipping errors is less than 30. The company wants to give a reward to its employees if the have under 30 errors. After running the hypothesis test, the company decides to reward its employees. However, the employees are making between 40-45 errors per month. What type of error occurred?
7)Test the claim: ; ; ; ; . What can you conclude?
8)Write the hypotheses for a bottle manufacturer’s claim that the standard deviation of liquid soap dispensed is no more than 0.0025 liters.
9)Use the following information to determine whether or is the claim: A state school administrator says that the standard deviation of SAT math test scores is below 105.
10)What symbol does represent?
11)Test the claim: ; ; ; ;
What can you conclude?
12)A citrus grower’s association believes that the mean consumption of fresh citrus fruits is more than 94 pounds per year. A random sample of 103 people has a mean consumption of 97.5 pounds per year and a standard deviation of 30 pounds. At , what conclusion can you make about the association’s claim that the mean consumption of fresh citrus fruits is more than 94 pounds per year?
13)Given: ; = 0.05; p-value = 0.02. What conclusion would you draw?
14)Find the critical value(s) for the test that is right-tailed, n = 8, = 0.01
15)Given the normally distributed data, what would the t0 be?
Claim > 12,700; = 0.05, Statistics , s = 248, n = 21
16)Test the claim that: Claim > 12,700; = 0.05, Statistics , s = 248, n = 21
17)Test the claim that: Claim > 12,700; = 0.01, Statistics , s = 248, n = 21
18)A large university says the mean number of classroom hours per week for full-time faculty is more than 9. A random sample of the number of classroom hours for full-time faculty for one week is listed. At = 0.01, test the association’s claim.
10.7 9.8 11.6 9.7 7.6 11.3 14.1 8.1 11.5 8.5 6.9
19)Decide whether the normal distribution can be used to approximate the binomial distribution.
Claim p > 0.70; = 0.01, Statistics , n = 68
20) Test the claim about the population proportion p for the:
Claim p > 0.125; = 0.01, Statistics , n = 45
21)An insurance agent says that the mean cost of insuring a 2010 Ford F-150 Super Cab is at least $875. A random sample of nine similar insurance quotes has mean cost of $825 and a standard deviation of $62. Is there enough evidence to reject the agent’s claim at = 0.01? Assume the population is normally distributed.
22) An insurance agent says that the mean cost of insuring a 2010 Ford F-150 Super Cab is at least $875. A random sample of nine similar insurance quotes has mean cost of $825 and a standard deviation of $62. Is there enough evidence to reject the agent’s claim at = 0.05? Assume the population is normally distributed.
23) A coin is tossed 1000 times and 530 heads appear. At = 0.01, test the claim that this is not a biased coin.
24)A coin is tossed 1000 times and 530 heads appear. At = 0.10, test the claim that this is not a biased coin.
25)If you increase the sample size you will ______the probability of a type I and type II error.