A random sample of n measurements was selected from a population with standard deviation o = 10.9 and unknown mean u. Calculate a 95 % confidence interval for u for each of the following situations: (a) n = 65, x = 72.8 SHS (b) n = 95, x = 72.8 (c) n = 115, x = 72.8 SHS (d) In gonesel
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- A researcher compares two compounds (1 and 2) used in the manufacture of car tires that are designed to reduce braking distances for SUVs equipped with the tires. The mean braking distance for SUVs equipped with tires made with compound 1 is 72 feet, with a population standard deviation of 10.6. The mean braking distance for SUVS equipped with tires made with compound 2 is 74 feet, with a population standard deviation of 12.3. Suppose that a sample of 38 braking tests are performed for each compound. Using these results, test the claim that the braking distance for SUVs equipped with tires using compound 1 is shorter than the braking distance when compound 2 is used. Let μ₁ be the true mean braking distance corresponding to compound 1 and ₂ be the true mean braking distance corresponding to compound 2. Use the 0.05 level of significance. Step 3 of 5: Find the p-value associated with the test statistic. Round your answer to four decimal places.A study of parental empathy for sensitivity cues and baby temperament (higher scores mean more empathy) was performed. Let x1 be a random variable that represents the score of a mother on an empathy test (as regards her baby). Let x2 be the empathy score of a father. A random sample of 33 mothers gave a sample mean of x1 = 69.72. Another random sample of 38 fathers gave x2 = 57.68. Assume that Population Standard Deviation1 = 11.97 and Population Standard Deviation2 = 11.86. (a) Let Population Standard Deviation1 be the population mean of x1 and let Population Standard Deviation2 be the population mean of x2. Find a 99% confidence interval for Population Standard Deviation1 – Population Standard Deviation2. (Round your answers to two decimal places. I need better steps on how to calculate using a t184 CE plusA researcher compares two compounds (1 and 2) used in the manufacture of car tires that are designed to reduce braking distances for SUVS equipped with the tires. The mean braking distance for SUVs equipped with tires made with compound 1 is 71 feet, with a population standard deviation of 11.0. The mean braking distance for SUVs equipped with tires made with compound 2 is 74 feet, with a population standard deviation of 12.3. Suppose that a sample of 70 braking tests are performed for each compound. Using these results, test the claim that the braking distance for SUVS equipped with tires using compound 1 is shorter than the braking distance when compound 2 is used. Let μ₁ be the true mean braking distance corresponding to compound 1 and μ₂ be the true mean braking distance corresponding to compound 2. Use the 0.05 level of significance. Step 2 of 5: Compute the value of the test statistic. Round your answer to two decimal places. Answer How to enter your answer (opens in new window)…
- A sample of size n = 36 is drawn from a population whose standard deviation is σ = 15.6. The sample mean is x = 94.5. Construct a 95% confidence interval.In a random sample of 75 eighth grade students scores on a national mathematics assessment test has a mean score of 266. The test result prompts a state school administration to declare that the mean score for the stated eighth graders on this exam is more than 260. Assume the population standard deviation is 34. At a=0.09, is there enough evidence to support the administrations claim? Write the claim mathematically and identify Ho and Ha Find the standardized test statistic z, and its corresponding areaBased on sample data, newborn males have weights with a mean of3250.3g and a standard deviation of 726.3g. Newborn females have weights with a mean of 3061.3g and a standard deviation of 546.4g. Who has the weight that is more extreme relative to the group from which they came: a male who weighs 1600g or a female who weighs 1600g? Since the z score for the male is z= ?
- The average size of a farm in one county is 162 acres with a standard deviation of 38 acres. The average size of a farm in a second county is 180 acres with a standard deviation of 40 acres. Assume the data were obtained from two samples that had 30 farms each. Can it be concluded that the average size of the farms in the two counties is different? (Let α = 0.05)Suppose the diameter of holes for a cable harness is known to have a mean of 1.4 inches. A random sample of size 12 yields an average diameter of 1.6525 inches and standard deviation of 0.16 inch. Given that the data set is normally distributed, does this mean that this group of cable harnesses is significantly smaller? Test at α = 0.05.3.2/2
- In a sample of n= 19 lichen specimens, the researchers found the mean and standard deviation of the amount of the radioactive element, cesium-137, that was present to be 0.009 and 0.005 microcurie per milliliter, respectively. Suppose the researchers want to increase the sample size in order to estimate the mean u to within 0.002 microcurie per milliliter of its true value, using a 95% confidence interval. Complete parts a through c. a. What is the confidence level desired by the researchers? The confidence level is.6.02 Consider X1,..., X100 iid. Obtain a 90% confidence interval for the mean response of X having observed ī = 3.5 and s² = 1.44.A random sample of 32 showed that the mean shoe size for American men is 10.5 with a standard deviation of 1.12. Assuming normality, find the 95% confidence interval for the mean shoe size for American men. A random sample of 32 showed that the mean shoe size for American men is 10.5 with a standard deviation of 1.12. Assuming normality, find the 95% confidence interval for the mean shoe size for American men. (9.99, 11.01) (10.112, 10.888) (10.096, 10.904) (10.174, 10.826)
