A fishing line manufacturer tests the breaking stain of his products. He has found that, for a particular ‘line weight’, the maximum breaking stain follows a normal distribution, with a mean of 21.5kg and a standard deviation of 1.5kg. If a line is selected at random, calculate the probability that it has a breaking strain of between 22kg and 23.5kg.
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Q: A laboratory claims that the mean sodium level, μ, of a healthy adult is 139 mEq per liter of blood.…
A: Given information- Sample size, n = 34 Population mean, µ = 139 mEq per liter of blood Sample mean,…
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A: Given, Population mean =7.2 Sample size = 31 Sample mean =8.6 Sample standard deviation =3.3 Level…
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A: given data, x¯1=3.50s1=0.07n1=10x¯2=3.48s2=0.04n1=15population with unequal variances.
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Q: A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola…
A: The hypothesized mean is 45.
Q: Let x be a random variable that represents the pH of arterial plasma (i.e., acidity of the blood).…
A: Given Information: Sample size (n) = 31 Sample mean (x¯) = 8.8 Sample standard deviation (s) = 3.3…
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A: Given, Sample size = 36 Sample mean = 142 Population standard deviation = 13
Q: A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola…
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Q: A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola…
A: Given information- Population mean, μ = 45 milligrams Sample size, n = 30 Sample mean, x-bar = 46.4…
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A: Givensample size(n) = 30Mean(x)=48.8stadnard deviation(σ)=7.6α=0.06
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A: Consider that μ defines the population mean pH of arterial plasma. Here, it is needed to check…
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A: Given : Sample size (n) = 30Sample mean (X) = 57.4Population standard deviation (σ) = 7.3α = 0.04
Q: (a) Identify Ho and H₂. Choose the correct answer below. Ο Α. Ηο: μ = 40 H₂:μ#40 OC. Ho: μ240.6 Ha:…
A: Given that Sample size n =30 Sample mean =40.6 Population standard deviation =7.7
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A: a. Let μ is defined as the population mean pH level of the blood. The claim of the test is that the…
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Q: A laboratory claims that the mean sodium level, u, of a healthy adult is 140 mEq per liter of blood.…
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A fishing line manufacturer tests the breaking stain of his products. He has found that, for a particular ‘line weight’, the maximum breaking stain follows a
If a line is selected at random, calculate the
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- One study revealed that a child under the age of 10 watches television 4.5 hours per day. A group of families from a certain community would like to believe that their children watch television less than the national average. A random sample of 14 children from the community yielded a mean of 4.1 hours per day with standard deviation of 1.2. Test the appropriate hypothesis at the level of significance 0.01. Assume the viewing time is normally distributed and interpret your results. Let mu be the average time a child under the age 10 watches television. Group of answer choices: A. H0: mu = 4.5, Ha: mu is not equal to 4.5 Since the observed value of test statistics in absolute value is 4.67 which is greater than 3.01, the sample data do not support that these children watch less television than the national average. B. H0: mu = 4.5, Ha: mu is not equal to 4.5 Since the observed value of test statistics in absolute value is 1.25 which is less than 3.01, the sample data do not…A laboratory claims that the mean sodium level, µ, of a healthy adult is 139 mEq per liter of blood. To test this claim, a random sample of 13 adult patients is evaluated. The mean sodium level for the sample is 130 mEq per liter of blood. It is known that the population standard deviation of adult sodium levels is 12 mEq. Assume that the population is normally distributed. Can we conclude, at the 0.1 level of significance, that the population mean adult sodium level differs from that claimed by the laboratory? 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 H, and the alternative hypothesis H. H, :0 H, :0 (b) Determine the type of test statistic to use. O=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) O#0 OA random sample of 25 night students was taken with a sample mean GPA of 2.86 and a standard deviation of 0.06. A random sample of 30 day students was taken with a sample mean GPA of 2.88 and a standard deviation of 0.07. Test the claim that the mean GPA of night students (µ) is different from the mean GPA of day students (μD) at a = = 0.05. Assume that the data come from normal populations with unequal variances. Round your answers to three decimal places, and round any interim calculations to four decimal places. Fill in the hypotheses below (click the circle to the left of the correct answer): Ho: Pn UN T HD ? ✓ PO μN În xd μD H₁: ○ pО ñ¿¯ µD¯ µÑ○ o²○ În [? ✓] μDO Ân PO µÑO Ñ ¿O σ ² This test is Select an answer ✓The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about 36 and a standard deviation of 10. Suppose that one individual is randomly chosen. Let X = percent of fat calories. (a) Find the z-score corresponding to 40 percent of fat calories, rounded to 3 decimal places. (b) Find the probability that the percent of fat calories a person consumes is more than 40. (c) Shade the area corresponding to this probability in the graph below. (Hint: The x-axis is the z- score. Use your z-score from part (a), rounded to one decimal place). Shade: Left of a value Click and drag the arrows to adjust the values. -3 -2 -1 2 3 4 -1.5 (d) Find the maximum number for the lower quarter of percent of fat calories. Round your answer to 3 decimal places.A scientist has read that the mean birth weight u of babies born at full term is 7.3 pounds. The scientist, believing that the mean birth weight of babies born at full term is less than this value, plans to perform a statistical test. She selects a random sample of 75 birth weights of babies born at full term. Suppose that the population of birth weights of babies born at full term has a standard deviation of 1.8 pounds and that the scientist performs her hypothesis test using the 0.05 level of significance. Based on this information, answer the questions below. Carry your intermediate computations to at least four decimal places, and round your responses as indicated. (If necessary, consult a list of formulas.) Н : μ is What are the null and alternative hypotheses that the scientist should use for the test? H, : u is Assuming that the actual value of u is 6.82 pounds, what is the power of the test? Round your response to at least two decimal places. What is the probability that the…The mean SAT score in mathematics, μ , is 500 . The standard deviation of these scores is 34 . A special preparation course claims that its graduates will score higher, on average, than the mean score 500 . A random sample of 19 students completed the course, and their mean SAT score in mathematics was 507 . Assume that the population is normally distributed. At the 0.1 level of significance, can we conclude that the preparation course does what it claims? Assume that the standard deviation of the scores of course graduates is also 34 . Perform a one-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places, and round your responses as specified in the table. The null hypothesis: H0: The alternative hypothesis: H1: The type of test statistic: (Choose one)ZtChi squareF The value of the test statistic:(Round to at least three decimal places.) The…A laboratory claims that the mean sodium level, μ , of a healthy adult is 142 mEq per liter of blood. To test this claim, a random sample of 45 adult patients is evaluated. The mean sodium level for the sample is 143 mEq per liter of blood. It is known that the population standard deviation of adult sodium levels is 13 mEq. Assume that the population is normally distributed. Can we conclude, at the 0.1 level of significance, that the population mean adult sodium level differs from that claimed by the laboratory? Perform a two-tailed test. Then fill in the table below.A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 55 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles cola has a mean caffeine content of 57.4 milligrams. Assume the population is normally distributed and the population standard deviation is 6.9 milligrams. At a = 0.04, can you reject the company's claim? Complete parts (a) through (e). C (a) Identify Ho and H₂. Choose the correct answer below. OA. Ho: 257.4 OB. Ho: H=57.4 H_:μ#57.4 H₂H<57.4 C. Ho: H=55 H₂:μ#55 OD. Ho: μ255 H:H<55 OE. Ho: 57.4 OF. Ho: *55 H₂:μ=57.4 Ημ= 55 (b) Find the critical value(s). Select the correct choice below and fill in the answer box within your choice. (Round to two decimal places as needed.) A. The critical values are ± 2.05. OB. The critical value is. Identify the rejection region(s). Choose the correct answer below. OA OB. O C. O Fail to reject Ho Fail to reject Ho Fail to reject Ho Q X…A marine biologist claims that the mean length of mature female pink seaperch is different in fall and winter. A sample of 12 mature female pink seaperch collected in fall has a mean length of 115 millimeters and a standard deviation of 11 millimeters. A sample of 10 mature female pink seaperch collected in winter has a mean length of 106 millimeters and a standard deviation of 8 millimeters. At α=0.01, can you support the marine biologist's claim? Assume the population variances are equal. Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e) below.A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 55 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 57.3 milligrams. Assume the population is normally distributed and the population standard deviation is 7.6 milligrams. Atα=0.07, can you reject the company's claim? Complete parts (a) through (e).A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 55 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 57.4 milligrams. Assume the population is normally distributed and the population standard deviation is 6.9 milligrams. At a=0.04, can you reject the company's claim? Complete parts (a) through (e). (a) Identify Ho and H₂. Choose the correct answer below. OA. Ho: 257.4 H₂:μ< 57.4 OB. Ho: H=57.4 H₂:μ*57.4 C. Ho: H=55 H₂:55 OD. Ho: 255 H₂H<55 OE. Ho: 57.4 Η μ = 57.4 OF. Ho: *55 H₂: H=55 (b) Find the critical value(s). Select the correct choice below and fill in the answer box within your choice. (Round to two decimal places as needed.) A. The critical values are ± OB. The critical value isSteve, the underpaid graduate student, is interested in determining how many final grades in Dr. Boehring’sclass vary. Steve determines that the standard deviation of final grades in Dr. Tahkstumusch’s class is 7. Steve takes a random sample of 50 final grades from Dr. Boehring’s class and computes a standard deviation of 9.Assume that the final grades in Dr. Boehring’s class are normally distributed. At the 5% significance level, do the data provide sufficient evidence to conclude that the standard deviationσof final grades in Dr. Boehring’sclass are greater than 7? Use the rejection region approach for all of the parts below. (a) Define the appropriate hypotheses (b)State and verify that the proper assumptions hold (c)Use the rejection region approach to perform the test (d) Provide support for your decision regarding the null hypothesis (e) Write a summary of your conclusion in the context of the problemSEE MORE QUESTIONS
