Are the dice fair? Below is data on 60 die rolls. 1 3 4. 5. 12 5 16 15 4. Test the claim that outcomes occur with equal frequency for each side of the die. Use a 5% level of significance. Assume all requirements have been met. 1. What is the tail of the test? ISelect ] 2. Find the P-value. [ Select ] 3. Will the null hypothesis be rejected? I Select ]
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![Are the dice fair? Below is data on 60 die rolls.
1
3
4
5
6
12
16
15
8
Test the claim that outcomes occur with equal frequency for each side of the die. Use a 5% level of significance. Assume all requirements have been met.
1. What is the tail of the test? ( Select ]
2. Find the P-value. I Select]
3. Will the null hypothesis be rejected? ( Select ]
4. Are the dice fair?
[ Select]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F718d0bec-2150-4df1-8dd3-9a5e25eabd78%2F40f8cd01-03f0-4eb3-96b9-62e795758339%2F67utjb_processed.jpeg&w=3840&q=75)
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- Trying to encourage people to stop driving to campus, the university claims that on average it takes people 30 minutes to find a parking space on campus. I don’t think it takes so long to find a spot. In fact, I have a sample of the last five times I drove to campus, and I calculated the sample mean = 25. Assuming that the time it takes to find a parking spot is normal, and that σ = 6 minutes, find the lowest level of significance at which the null hypothesis that it takes 30 minutes to find a parking space on campus can be rejected against the alternative that it takes less time.Trying to encourage people to stop driving to campus, the university claims that on average it takes people 30 minutes to find a parking space on campus. I don’t think it takes so long to find a spot. In fact, I have a sample of the last five times I drove to campus, and I calculated the sample mean = 25. Assuming that the time it takes to find a parking spot is normal, and that σ = 6 minutes, find the lowest level of significance at which the null hypothesis that it takes 30 minutes to find a parking space on campus can be rejected against the alternative that it takes less time. thanks in advance.A sample of n = 25 individuals is selected from a population with µ = 20. After a treatment is administered to the individuals, the sample mean is found to be M = 22 and sample variance is s2 = 125. Which type of t-test would you conduct in this scenario? Conduct a hypothesis test to evaluate the significance of the treatment effect. Use a two-tailed test with α = .05. State the hypothesis, find the critical region, calculate your test statistic, and evaluate your hypothesis. Show all intermediary steps for your calculations. Calculate Cohen’s d to measure the size of the treatment effect. Describe whether this is a small, moderate or large effect.
- A sample of n = 16 individuals is selected from a population with µ = 30. After a treatment is administered to the individuals, the sample mean is found to be M = 33 and sample variance is s2 = 64. Which type of t-test would you conduct in this scenario? Conduct a hypothesis test to evaluate the significance of the treatment effect. Use a two-tailed test with α = .05. State the hypothesis, find the critical region, calculate your test statistic, and evaluate your hypothesis then calculate Cohen’s d to measure the size of the treatment effect. Describe whether this is a small, moderate or large effect.Conduct a test at the α=0.10 level of significance by determining Assume the samples were obtained independently from a large population using simple random sampling. Test whether p1>p2. The sample data are: x1=125, n1=259, x2=144, n2=311 (b) Determine the test statistic z0=?Testing the difference between proportions. Many elementary school students in a school district currently have ear infections. A random sample of children in two different schools found that 15 of 42 at one school and 22 of 40 at the other have ear infections. At the .05 level of significance, is there sufficient evidence to support the claim that a difference exists between the proportions of students who have ear infections at the two schools?
- An air conditioning unity company stockpiles air conditioning units in a large warehouse for shipment to retail stores. Sometimes in handling them the appliances get damaged. Even though the damage may be minor, the company must sell those units at drastically reduced prices. The company goal is to keep the level of damaged machines below 4%. One day an inspector randomly checks 53 air conditioning units and finds that 8 of them are damaged. Is this strong evidence that the warehouse is failing to meet the company goal? Test an appropriate hypothesis and state your conclusion. Be sure the appropriate assumptions and conditions are satisfied before you proceed. State the null and alternate hypothesis, and find the z-statistic and the p-valueIn a random sample of 320 cars driven at low altitude, 40 of them exceeded the standard 10 grams of particulate pollution per gallon of fuel consumed. In another independent random sample of 80 cars driven at high altitude, 20 of them exceeded the standard. Let P 1be the true proportion of cars that exceed the standard in low altitudes and P 2be the true proportion of cars that exceed the standard in high altitudes. What is the test statistic for testing this hypothesis.A cereal company wants to make sure the machine used to fill boxes of cereal is working properly. The machine is supposed to fill each box with 18 ounces of cereal. To test the machine’s accuracy, you sampled the weight of 40 boxes of cereal. To determine if the machine needs maintenance, you conduct a one-sample t-test (see results in K2:M7). If the average weight statistically differs from 18 ounces, you will order a maintenance repair. But because the repair can be costly and because there are potential punitive costs for not selling food products at the advertised weight, you want to be 95% confident in the results. t-Test: One-Sample Mean (weight) 18.4 Variance 0.9 Observations 40 t-statistic 2.67 P(t = T) two-tail 0.011 A. what is my null & alternative hypothesis?B. Calc difference between sample mean & hypothesized mean. c. Can we reject null hypothesis?
- b) A poll showed the approval rating to be 0.45 (45%). A second poll based on 2000 randomly selected voters showed that 886 approved of the job the president was doing. Do the results of the second poll indicate that the proportion of voters who approve of the job the president is doing is significantly lower than the original level? Explain. Assume the alpha = 0.05 level of significance. Determine the P-value for this hypothesis test. P-value =You are interested in testing if more than 46% of registered voters will vote for your preferred candidate in the next election. You managed to obtain a sample of 530 registered voters; 264 plan to vote for your candidate. Conduct the test and calculate and interpret the p-value; alpha is not provided.In a sample of 950 adults, it is found that 48% are registered to vote in their state . Use a 0.05 significance level to test the claim that less than 50% of all adults are registered to vote for their state. a. Find the test statstic b. Find the Critical value c. Find the p- value d. What is the consclusion about the null hypothesis? e. What is the final conclusion in nontechnical terms? ( use the z table )