A manufacturer claims that their car batteries have a mean life expectancy of 6 years with a population standard deviation of 1.75 years. In order to test its own claim, a random sample of 35 batteries were tested and it was found out their mean life span is 5.5 years. Is there evidence at the 0.01 level of significance that the batteries become exhausted in less than 6 years
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Q: Thanks to an initiative to recruit top students, an administrator at a college claims that this…
A: a)Hₒ: μ = 114Hₐ: μ > 114 b)t c)t = 2.28449883 d)p = 0.01773328 e)Yes Explanation:Step 1: List the…
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A: given data, claim:μ>113n=18x¯=116s=9α=0.05
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A: Given Information: n1=35n2=34s12=10s22=8μ1=107μ2=112α=0.05
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A: We have given that Sample size (n) = 16Sample mean (x̅) = 116Standard deviations (s) = 9Significance…
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A: GivenMean(x)=114standard deviation(s)=13sample size(n)=14significance level(α)=0.05
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A: Hypothesis Ho: mu>=9 vs H1: mu< 9 Xbar=7.6, s=4.5, n=91
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A: a) The hypotheses for the test are given below. Null hypothesis: H0: µ =111
Q: <µ< nswer should be obtained without any preliminary rounding.
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A: The null hypothesis is: H0: μ = 114. The alternative hypothesis is: H1: μ > 114
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A: Given that Xbar = 114 , n= 22, s= 15, mu = 111 Alpha= 0.05 Note: According to Bartleby…
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A: given data,claim: μ>110n=11x¯=112s=15α=0.05one- tailed test
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A: From the provided information, Sample size (n) = 11 Sample mean (x̄) = 118 Sample standard deviation…
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A: Given,sample size(n)=18sample mean(x¯)=120standard deviation(s)=9α=0.10
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A: Answer Mean =116Standard deviation =10sample size =19level of significance =0.05
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A manufacturer claims that their car batteries have a
expectancy of 6 years with a population standard deviation of 1.75
years. In order to test its own claim, a random sample of 35
batteries were tested and it was found out their mean life span is
5.5 years. Is there evidence at the 0.01 level of significance that
the batteries become exhausted in less than 6 years?
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- It is known that the length of life of the batteries produced by a certain manufacturing company is normally distributed with a standard deviation of 0.75 years. How many sample batteries must be taken to estimate the true mean length to within 0.02 years at 99% confidence?A shareholders' group is lodging a protest against your company. The shareholders group claimed that the mean tenure for a chief exective office (CEO) was different 10 years. A survey of 75 companies reported in The Wall Street Journal found a sample mean tenure of 8.1 years for CEOs with a standard deviation of s= 4.4 years (The Wall Street Journal, January 2, 2007). You don't know the population standard deviation but can assume it is normally distributed.You want to formulate and test a hypothesis that can be used to challenge the validity of the claim made by the group, at a significance level of α=0.001. Your hypotheses are: Ho:μ=10 Ha:μ≠10What is the test statistic for this sample? test statistic = (Report answer accurate to 3 decimal places.)What is the p-value for this sample? p-value = (Report answer accurate to 4 decimal places.)The p-value is... less than (or equal to) α greater than α This test statistic leads to a decision to... reject the null accept the…Thanks to an initiative to recruit top students, an administrator at a college claims that this year's entering class must have a greater mean IQ score than that of entering classes from previous years. The administrator tests a random sample of 17 of this year's entering students and finds that their mean IQ score is 112, with a standard deviation of 15. The college records indicate that the mean IQ score for entering students from previous years is 111. Is there enough evidence to conclude, at the 0.10 level of significance, that the population mean IQ score, μ, of this year's class is greater than that of previous years? To answer, assume that the IQ scores of this year's entering class are approximately normally distributed. Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis H0 and the alternative hypothesis H1. H0:…
- A manufacturer of TV tubes has for many years used a process giving a meantube life of 4700 hours and a standard deviation of 1460 hours. A new process is tried to see if it will increase the life significantly. A sample of 100new tubes gave a mean life of 5000 hours. Is the new process better than the old one at a 1% level of significance?Thanks to an initiative to recruit top students, an administrator at a college claims that this year's entering class must have a greater mean IQ score than that of entering classes from previous years. The administrator tests a random sample of 17 of this year's entering students and finds that their mean IQ score is 117, with a standard deviation of 15. The college records indicate that the mean IQ score for entering students from previous years is 110. Is there enough evidence to conclude, at the 0.10 level of significance, that the population mean IQ score, μ, of this year's class is greater than that of previous years? To answer, assume that the IQ scores of this year's entering class are approximately normally distributed. Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. Ho :O 0 H₁ :0 (b)…Thanks to an initiative to recruit top students, an administrator at a college claims that this year's entering class must have a greater mean IQ score than that of entering classes from previous years. The administrator tests a random sample of 11 of this year's entering students and finds that their mean IO score is 118, with a standard deviation of 13. The college records indicate that the mean IO score for entering students from previous years is 110. Is there enough evidence to conclude, at the 0.10 level of significance, that the population mean IQ score, M, of this year's class is greater than that of previous years? To answer, assume that the IQ scores of this year's entering class are approximately normallydistributed. Perform a one-tailed test. Then complete the parts below.Carry your intermediate computations to three or more decimal places.
- Thanks to an initiative to recruit top students, an administrator at a college claims that this year's entering class must have a greater mean IQ score than that of entering classes from previous years. The administrator tests a random sample of 10 of this year's entering students and finds that their mean IQ score is119, with a standard deviation of 14. The college records indicate that the mean IQ score for entering students from previous years is 110 Is there enough evidence to conclude, at the 0.10 level of significance, that the population mean IQ score, μ, of this year's class is greater than that of previous years? To answer, assume that the IQ scores of this year's entering class are approximately normally distributed.Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. A. Find the value of the test statistic and round to 3 or more decimal places. List the degrees of freedom (I have posted a picture of…Thanks to an initiative to recruit top students, an administrator at a college claims that this year's entering class must have a greater mean IQ score than that of entering classes from previous years. The administrator tests a random sample of 22 of this year's entering students and finds that their mean IQ score is 112, with a standard deviation of 9. The college records indicate that the mean IQ score for entering students from previous years is 111. Is there enough evidence to conclude, at the 0.10 level of significance, that the population mean IQ score, μ, of this year's class is greater than that of previous years? To answer, assume that the IQ scores of this year's entering class are approximately normally distributed. Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. H₂₁:0 H₁ :0 (b)…Thanks to an initiative to recruit top students, an administrator at a college claims that this year's entering class must have a greater mean IQ score than that of entering classes from previous years. The administrator tests a random sample of 21 of this year's entering students and finds that their mean IQ score is 112, with a standard deviation of 9. The college records indicate that the mean IQ score for entering students from previous years is 111. Is there enough evidence to conclude, at the 0.10 level of significance, that the population mean IQ score, u, of this year's class is greater than that of previous years? To answer, assume that the IQ scores of this year's entering class are approximately normally distributed. Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. 0 Ho H₁ :0 1 (b)…
- The lightbulbs in an industrial warehouse have been found to have a mean lifetime of 1030 hours, with a standard deviation of 90 hours. The warehouse manager has been approached by a representative of a company that makes a device intended to increase bulb life. Manager agrees to test the device by considering 40 bulbs equipped with the device and finds their mean life to be 1061.6 hours. Using level of significance of your choice can you conclude that the device was effective?Thanks to an initiative to recruit top students, an administrator at a college claims that this year's entering class must have a greater mean IQ score than that of entering classes from previous years. The administrator tests a random sample of 21 of this year's entering students and finds that their mean IQ score is 118, with a standard deviation of 13. The college records indicate that the mean IQ score for entering students from previous years is 113. Is there enough evidence to conclude, at the 0.10 level of significance, that the population mean IQ score, μ, of this year's class is greater than that of previous years? To answer, assume that the IQ scores of this year's entering class are approximately normally distributed. Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. H₂ : O H₁ :0 (b)…a researcher suspects the mean trough ( the lowest dosage of medication required to see clincial impprovement of symptoms) level for a medication to treat arthritis is higher than was previously reported in other sutdies. if previous studies found the mean trough level of the population to be 3 micrograms/ml. and the researcher conducts a study among 93 newly diagnosed arthritis patients and finds the mean trough to be 6.1 microgran with a standard deviation of 2.4 micrograms/ml, calculate the z value for the test statistic.
