A sample of size n=54 is drawn from a normal population whose standard deviation is o=5.4. The sample mean is x =41.53. Part: 0 / 2 Part 1 of 2 (a) Construct a 98% confidence interval for u. Round the answer to at least two decimal places. A 98% confidence interval for the mean is |
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- Planning engineers want to construct a confidence interval for the standard deviation of the runtime of a certain manufacturing process (0), assuming that the runtimes will be approximately Normal. They make 25 random observations and find that, on average, the process takes 290 seconds, with a sample standard deviation of 35 seconds. Click here to view page 1 of the table of critical values of the chi-squared distribution. Click here to view page 2 of the table of critical values of the chi-squared distribution. With 90%, the engineers can conclude that o will be between and| (Round to two decimal places including any zeros.)Drill lifetime: A sample of 50 drills had a mean lifetime of 12.01 holes drilled when drilling a low-carbon steel. Assume the population standard deviation is 6.49. Part: 0/ 3 Part 1 of 3 (a) Construct a 95% confidence interval for the mean lifetime of this type of drill. Use tables or technology. Round your answers to at least two decimal places. The confidence interval is ( D. NOV G W MacBook Air 80 888 DII F9 F10 F2 F3 F4 F5 F6 F7 F8Babies: A sample of 25 one-year-old girls had a mean weight of 24.1 pounds with a standard deviation of 4.3 pounds. Assume that the population of weights is normally distributed. A pediatrician claims that the standard deviation of the weights of one-year-old girls is greater than 7 pounds. Do the data provide convincing evidence that the pediatrician's claim is true? Use the =α0.05 level of significance.
- Wheaties cereal is claimed to have an average of 3 grams of dietary fiber per serving. We want to test this hypothesis and to see whether we believe that is true or that the mean amount of fiber is significantly different from 3 grams. A random sample of 25 servings was taken and it yielded a sample mean of 3.4 grams with the sample standard deviation in the amount of fiber, s = .8 grams. %3D Assume that software has determined the p-value to be.02. Carry out the test at the 5% level of significance. Be sure to state your decision rule and your decision for the test. O Fail to Reject the null hypothesis since the p-value is .05 O Fail to Reject the null hypothesis since the p-value is > .05Fuel consumption of taxis at an unnamed taxi rank follows a normal distribution with an average of 15 liters / 100km and the standard deviation of 5 liters / 100km. Nonni randomly selects 12 taxis from the station and examines the average consumption of these 12 cars. What is the standard error of average consumption? 1. 5 12 2. V5 3. 5 12 V12Q-3) Show all the steps for the problem.
- Energy drinks: A survey of college students reported that in a sample of 402 male college students, the average number of energy drinks consumed per month was 2.41 with a standard deviation of 3.18, and in a sample of 390 female college students, the average was 1.50 with a standard deviation of 4.77. Part: 0/2 Part 1 of 2 Construct a 80% confidence interval for the difference between men and women in the mean number of energy drinks consumed. Let μ, denote the mean number of energy drinks consumed by men. Use tables to find the critical value and round the answers to at least two decimal places. A 80% confidence interval for the difference between men and women in the mean number of energy drinks consumed is 0<44-₂2 <0. X S Part: 1/2 Part 2 of 2 Based on the confidence interval, is it reasonable to believe that the mean number of energy drinks consumed may be the same for both male and female college students? It (Choose one) reasonable to believe that the mean number of energy drinks…A random sample of n1 = 49 measurements from a population with population standard deviation ?1 = 3 had a sample mean of x1 = 10. An independent random sample of n2 = 64 measurements from a second population with population standard deviation ?2 = 4 had a sample mean of x2 = 12. Test the claim that the population means are different. Use level of significance 0.01. (a) Check Requirements: What distribution does the sample test statistic follow? Explain. The Student's t. We assume that both population distributions are approximately normal with known standard deviations.The standard normal. We assume that both population distributions are approximately normal with known standard deviations. The Student's t. We assume that both population distributions are approximately normal with unknown standard deviations.The standard normal. We assume that both population distributions are approximately normal with unknown standard deviations. (b) State the hypotheses. H0: ?1 = ?2;…9th grade 10th grade 11th grade 12th grade 6 10 17 15 9 12 8 16 6 11 11 12 7 11 14 12 7 14 15 12 find the critical value for F (F crit) with a standard deviation .05
- 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.Manufacturer claims