According to a report done by 5 &J Power, the mean lifetime of the light bulbs it manufactures is 45 months. A researcher for a consumer advocate group teststhis by selecting 90 bulbs at random. For the bulbs in the sample, the mean lifetime is 44 months. It is known that the population standard deviation of thelifetimes is 7 months. Can we conclude, at the 0.05 level of sionificance, that the ponulation mean lifetime, u, of light bulbs made by this manufacturer differsfrom 45 months?Perform a two-tailed test. Then complete the parts below.Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.)(a) State the null.hynothesis //, and the alternative hypothesis //合H, :0

Answered: Image /qna-images/answer/48168886-40ce-47bd-a73c-ed0868326a8a.jpg

Answered: According to a report done by S&J…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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To build a 98% CI for the mean of a population, you take a random sample of 29 values and find that the sample mean is 218.1 with standard deviation 16.9. Round all intermediate calculations (including the critical value, Tc) to two decimals, then construct the CI and enter like this: (min,max). Be sure to include the parentheses or you will be marked wrong. Note: if you use a built-in Cl command on a calculator/computer, you might get marked wrong due to rounding. Use the formulas given in the text/notes. Submit Question
To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 42 feet. Assume the population standard deviation is 4.7 feet. The mean braking distance for Make B is 45 feet. Assume the population standard deviation is 4.4 feet. At a = 0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) rari rz (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is/are (Round to three decimal places as needed. Use a comma to separate answers as needed.)
Suppose that the heights of adult women in the United States are normally distributed with a mean of 64.5 inches and a standard deviation of 2.2 inches. Lena is taller than 90% of the population of U.S. women. How tall (in inches) is Lena? Carry your intermediate computations to at least four decimal places. Round your answer to one decimal place.
A chain of restaurants has historically had a mean wait time of 5 minutes for its customers. Recently, the restaurant added several very popular dishes back to their menu. Due to this, the manager suspects the wait time, μ, has increased. He takes a random sample of 35 customers. The mean wait time for the sample is 5.1 minutes. Assume the population standard deviation for the wait times is known to be 1.1 minutes. Can the manager conclude that the mean wait time is now greater than 5 minutes? Perform a hypothesis test, using the 0.10 level of significance. (a) State the null hypothesis Ho and the alternative hypothesis H₁. Ho: O H₁:0 μ X 0° OO 20ם ローロ OO × 5 (b) Perform a hypothesis test. The test statistic has a normal distribution (so the test is a "Z-test"). Here is some other information to help you with your test. 0.10 is the value that cuts off an area of 0.10 in the right tail. *-μ ⚫ The test statistic has a normal distribution and the value is given by z=- σ √n Standard Normal…
The body temperatures of a group of healthy adults have abell-shaped distribution with a mean of 98.36°F and a standard deviation of 0.58°F. Using the empirical rule, find each approximate percentage below. What is the approximate percentage of healthy adults with body temperatures within 2 standard deviations of the mean, or between 97.20°F and 99.52°F? What is the approximate percentage of healthy adults with body temperatures between 96.62°F and 100.10°F?
A sample of 60 chewable vitamin tablets have a sample mean of 298 milligrams of vitamin C. Nutritionists want to perform a hypothesis test to determine how strong the evidence is that the mean mass of vitamin C per tablet differs from 299 milligrams. State the appropriate null and alternate hypotheses.
Tree-ring dates were used extensively in archaeological studies at Burnt Mesa Pueblo. At one site on the mesa, tree-ring dates (for many samples) gave a mean date of μ₁ = year 1259 with standard deviation ₁ = 35 years. At a second, removed site, the tree-ring dates gave a mean of μ₂ = year 1101 with standard deviation ₂ = 35 years. Assume that both sites had dates that were approximately normally distributed. In the first area, an object was found and dated as x₁ = year 1202. In the second area, another object was found and dated as x₂ = year 1246. The Standard Normal Distribution (u= 0, σ = 1) O -3 -2 O 0 68% of area 95% of area 99.7% of area 2 (a) Convert both X₁ and X₂ to z values, and locate both of these values under the standard normal curve of the figure above. (Round your answers to two decimal places.) Z1 = Z2 3 (b) Which of these two items is the more unusual as an archaeological find in its location? O x₁; the further a z value is from zero, the more unusual it is. X₂i the…
From a sample with n = 32, the mean duration of a geyser's eruptions is 3.42 minutes and the standard deviation is 1.12 minutes. Using Chebychev's Theorem, determine at least how many of the eruptions lasted between 1.18 and 5.66 minutes. At least of the eruptions lasted between 1.18 and 5.66 minutes. (Simplify your answer.)
Facebook: A study showed that two years ago, the mean time spent per visit to Facebook was 20.8 minutes, Assume the standard devlation is o= 8.0 minutes. Suppose that a simple random sample of 107 visits was selected this year and has a sample mean of x= 18.8 minutes. A social scientist is interested to know whether the mean time of Facebook visits has decreased. Use the a=0.10 level of significance and the critical value method with the table. (a) State the appropriate null and alternate hypotheses. (b) Compute the value of the test statistic. (c) State a conclusion. Use the a = 0.10 level of significance.
According to a report done by S & J Power, the mean lifetime of the light bulbs it manufactures is 48 months. A researcher for a consumer advocate group tests this by selecting 22 bulbs at random. For the bulbs in the sample, the mean lifetime is 49 months. It is known that the population standard deviation of the lifetimes is 6 months. Assume that the population is normally distributed. Can we conclude, at the 0.05 level of significance, that the population mean lifetime, μ , of light bulbs made by this manufacturer differs from 48 months? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H0 and the alternative hypothesis H1 . H0: H1: (b) Determine the type of test statistic to use. ▼(Choose one) (c) Find the value of the test…
on a nal mathematics assessment test has a mean score of 281. This test result prompts a state school administrator to declare that the mean score for the state's eighth graders on this exam is more than 275. Assume that the population standard deviation is 32. At a= 0.09, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). (a) Write the claim mathematically and identify Ho and Ha. Choose the correct answer below. O A. Ho: H= 275 (claim) Ha: p> 275 O B. Ho: H2275 (claim) OC. Ho: us275 (claim) Ha: u> 275 %3D Ha: u 275 (claim) Ha: >275 (claim) Ha: 2 275 (claim)

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