Round your answers to 3 decimal places. Assume population is approximately normally distributed. (b) Construct a 99% two-sided confidence interval on the mean speed-up. <μ< i (c) Construct a 99% lower confidence bound on the mean speed-up. i ≤H
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- Test a claim that the mean amount of lead in the air in U.S. cities is less than 0.036 microgram per cubic meter. It was found that the mean amount of lead in the air for the random sample o 57 U.S. cities is 0.039 microgram per cubic meter and the standard deviation is 0.069 microgram per cubic meter. At α=0.10, can the claim be supported? Complete parts (a) through (e) below. Assume the population is normally distributed.Test a claim that the mean amount of lead in the air in U.S. cities is less than 0.036 microgram per cubic meter. It was found that the mean amount of lead in the air for the random sample of 57 U.S. cities is 0.039 microgram per cubic meter and the standard deviation is 0.067 microgram per cubic meter. At α=0.10, can the claim be supported? Complete parts (a) through (e) below. Assume the population is normally distributed. Question content area bottom Part 1 (a) Identify the claim and state H0 and Ha. H0: ▼ pp muμ sigma squaredσ2 sigmaσ ▼ not equals≠ greater than> less than or equals≤ less than< equals= greater than or equals≥ enter your response here Ha: ▼ muμ sigma squaredσ2 pp sigmaσ ▼ not equals≠ equals= greater than or equals≥ greater than> less than or equals≤ less than< enter your response here (Type integers or decimals. Do not round.) The claim is the ▼ null alternative…You intend to estimate a population mean with a confidence interval. You believe the population to have a normal distribution. Your sample size is 10.Find the critical value that corresponds to a confidence level of 98%.(Report answer accurate to three decimal places with appropriate rounding.)t* = ±
- Test a claim that the mean amount of lead in the air in U.S. cities is less than 0.036 microgram per cubic meter. It was found that the mean amount of lead in the air for the random sample of 55 U.S. cities is 0.038 microgram per cubic meter and the standard deviation is 0.067 microgram per cubic meter. At α=0.10,can the claim be supported? Complete parts (a) through (e) below. Assume the population is normally distributed. a. Identify Ho and Ha b. find the critical values and sket the rejection region c. calculate the test statistic d. Do you "reject the Ho" or "fail to reject Ha"? e. interpret results ( does it support or reject the claim)Find the left and right chi square values, then give the confidence interval. Sample Variance s 15.99 %3D Confidence Level c = 0.90 and Sample Size n = 13 and x %3D %3D At the 90 % level of confidence the population variance is between and (Round all answers to 3 decimal places)Test a claim that the mean amount of lead in the air in U.S. cities is less than 0.035 microgram per cubic meter. It was found that the mean amount of lead in the air for the random sample of 55 U.S. cities is 0.038 microgram per cubic meter and the standard deviation is 0.069 microgram per cubic meter. At α=0.01, can the claim be supported? Complete parts (a) through (e) below. Assume the population is normally distributed.
- Test a claim that the mean amount of carbon monoxide in the air in U.S. cities is less than 2.31 parts per million. It was found that the mean amount of carbon monoxide in the air for the random sample of 66 cities is 2.39 parts per million and the standard deviation is 2.12 parts per million. At α=0.05, can the claim be supported?Complete parts (a) through (e) below. Assume the population is normally distributed.Mean (E(x)) = np St. dev=Given the number of trials and the probability of success, find the mean, standard deviation1.n =12, p = 0.22. n = 20, p = 0.5In addition, find the indicated probabilities3. n =11, p = 0.05, find P(3 failures)4. n = 6, p = 0. 35, find P(at least 3 successes)5. A basketball player has a 60% chance of making each free throw. What is the probability that the player makes exactly three out of six free throws?6. The manufacturing sector contributes 17% of Canadas gross domestic product. A customer orders 50 components from a factory that has a 99% quality production rate (99% of the products are defect-free). Find the probability that:a) none of the components in the order are defectiveb) there is at least one defective product in the order.c) There are at least two defective products in the order.d) Expected number of defective parts.7. Approximately 3% of the eggs in a store are cracked. If you buy two dozen eggs, what is the probability thata) none of your eggs…Clgarette Smoking A researcher found that a cigarette smoker smokes on average 32 cigarettes a day. She feels that this average is too high. She selected a random sample of 9 smokers and found that the mean number of cigarettes they smoked per day was 29. The sample standard deviation was 2.9. At a =0.01, is there enough evidence to support her claim? Assume that the population is approximately normally distributed. Use the critical value method and tables. Part 1 of 5 (a) State the hypotheses and identify the claim. Ho: u = 32 not claim H : u < 32 claim This hypothesis test is a one-tailed test. Part: 1 /5 Part 2 of 5 (b) Find the critical value(s). Round the answer to three decimal places. If there is more than one critical value, seperate them with commas. Critical value(s):
- Test a claim that the mean amount of lead in the air in U.S. cities is less than 0.038 microgram per cubic meter. It was found that the mean amount of lead in the air for the random sample of 56 U.S. cities is 0.038 microgram per cubic meter and the standard deviation is 0.068 microgram per cubic meter. At alphaαequals=0.01, can the claim be supported? Complete parts (a) through (e) below. Assume the population is normally distributed. d) Decide whether to reject or fail to reject the null hypothesis. ▼ Fail to reject Reject Upper H 0H0 because the standardized test statistic ▼ is is not in the rejection region. (e) Interpret the decision in the context of the original claim. There ▼ is not is enough evidence at the nothing% level of significance to ▼ reject support the claim that the mean amount of lead in the air in U.S. cities is ▼ equal greater than or equal less than or equal not equal greater than less than nothing…Test a claim that the mean amount of carbon monoxide in the air in U.S. cities is less than 2.32 parts per million. It was found that the mean amount of carbon monoxide in the air for the random sample of 63 cities is 2.39 parts per million and the standard deviation is 2.11 parts per million. At α=0.05, can the claim be supported? Complete parts (a) through (e) below. Assume the population is normally distributed.Test a claim that the mean amount of lead in the air in U.S. cities is less than 0.036 microgram per cubic meter. It was found that the mean amount of lead in the air for the random sample of 57 U.S. cities is 0.039 microgram per cubic meter and the standard deviation is 0.067 microgram per cubic meter. At α=0.10, can the claim be supported? Complete parts (a) through (e) below. Assume the population is normally distributed. Question content area bottom Part 1 (a) Identify the claim and state H0 and Ha. H0: muμ greater than or equals≥ 0.0360.036 Ha: muμ less than< 0.0360.036 (Type integers or decimals. Do not round.) The claim is the alternative hypothesis. Part 2 (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is/are t0=enter your response here. (Use a comma to separate answers as needed. Round to two decimal places as needed.)