A random sample of 100 accounts from a branch of certain bank, has mean balance of Rs. 18,600 with S.D.= 1160. A random sample of 80 accounts from another branch of same bank has mear balance of Rs. 15,200; with S.D.= Rs. 920. Find 90% confidence interval of difference betweer Mean balance of all accounts in both branches.
Q: Thanks to an initiative to recruit top students, an administrator at a college claims that this…
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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…
Q: Thanks to an initiative to recruit top students, an administrator at a college claims that this…
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A: given data, claim:μ>113n=18x¯=116s=9α=0.05
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Q: Thanks to an initiative to recruit top students, an administrator at a college claims that this…
A: We have given that Sample size (n) = 16Sample mean (x̅) = 116Standard deviations (s) = 9Significance…
Q: Thanks to an initiative to recruit top students, an administrator at a college claims that this…
A: GivenMean(x)=114standard deviation(s)=13sample size(n)=14significance level(α)=0.05
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A: a) Ho: µ=12680 H1: µ<12680 (claim) b) z-test c) test statistic, z=-2.421 d) p-value=0.0077 e)…
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A: a) The hypotheses for the test are given below. Null hypothesis: H0: µ =111
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A: From the provided information, Mean (µ) = 2.61 Standard deviation (σ) = 0.44
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A: As per our guidelines I can solve only first three subparts. Kindly post the remaining subparts…
Q: According to a leasing firm's reports, the mean number of miles driven annually in its leased cars…
A: GivenMean(x)=11671standard deviation(σ)=3320sample size(n)=46significance level(α)=0.01
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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 : n = 35 , X¯ = 11.92 ounces ζ = 0.085 ouncesThe 95% C.I for the true…
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A: Given that Xbar = 114 , n= 22, s= 15, mu = 111 Alpha= 0.05 Note: According to Bartleby…
Q: Thanks to an initiative to recruit top students, an administrator at a college claims that this…
A: given data,claim: μ>110n=11x¯=112s=15α=0.05one- tailed test
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A: Part aThe null and alternative hypotheses are given as below:Null hypothesis: H0: The population…
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A: From given data we have : Number of sample (n) = 21 Sample mean (X―) = 112 Sample Standard…
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A: The population mean is 12660, population standard deviation is 1940, sample size is 11 and sample…
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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
Q: According to a leasing firm's reports, the mean number of miles driven annually in its leased cars…
A: As per our guidelines we are suppose to answer only one question1) GivenMean(x)=11671standard…
Q: According to a leasing firm's reports, the mean number of miles driven annually in its leased cars…
A: The population mean is 12940, population standard deviation is 2920, sample size is 50 and sample…
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A: Givenstandard deviation(σ)=1040sample size(n)=70Mean(x)=12635significance level(α)=0.05
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- According to a leasing firm's reports, the mean number of miles driven annually in its leased cars is 12,920 miles with a standard deviation of 2280 miles. The company recently starting using new contracts which require customers to have the cars serviced at their own expense. The company's owner believes the mean number of miles driven annually under the new contracts, u, is less than 12,920 miles. He takes a random sample of 80 cars under the new contracts. The cars in the sample had a mean of 12,842 annual miles driven. Is there support for the claim, at the 0.05 level of significance, that the population mean number of miles driven annually by cars under the new contracts, is less than 12,920 miles? Assume that the population standard deviation of miles driven annually was not affected by the change to the contracts. Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified…An interested citizen wanted to know if Democratic U. S. senators are older than Republican U.S. senators, on average. On May 26 2013, the mean age of 30 randomly selected Republican Senators was 61 years 247 days old (61.675 years) with a standard deviation of 10.17 years. The mean age of 30 randomly selected Democratic senators was 61 years 257 days old (61.704 years) with a standard deviation of 9.55 years. Do the data indicate that Democratic senators are older than Republican senators, on average? Test at a 5% level of significance. a. At the 5% level of significance, from the sample data, there is NOT sufficient evidence to conclude that the mean age of Democratic senators is greater than the mean age of the Republican senators. b. At the 5% level of significance, from the sample data, there is sufficient evidence to conclude that the mean age of Democratic senators is greater than the mean age of the Republican senators.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:…
- According to a leasing firm's reports, the mean number of miles driven annually in its leased cars is 13,280 miles with a standard deviation of 2100 miles. The company recently starting using new contracts which require customers to have the cars serviced at their own expense. The company's owner believes the mean number of miles driven annually under the new contracts, µ, is less than 13,280 miles. He takes a random sample of 21 cars under the new contracts. The cars in the sample had a mean of 12,113 annual miles driven. Assume that the population is normally distributed. Is there support for the claim, at the 0.01 level of significance, that the population mean number of miles driven annually by cars under the new contracts, is less than 13,280 miles? Assume that the population standard deviation of miles driven annually was not affected by the change to the contracts. Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more…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)…Five years ago, the average term length for a new car loan was 69.3 months. Loan analysts noticed that the average term lengths have been getting longer and think that now the average term length is more than 69.3 months. A sample of 80 new car loans from from the first quarter of 2021 randomly selected. The sample mean term length is 72 months. This data is widely studied, so we know that that population standard deviation for loan term length is 12 months. Find the test statistic and p-value for this hypothesis test. Round answers to 3 decimals.
- 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 Census Bureau reports that 82% of Americans over the age of 25 are high school graduates. A survey of randomly selected residents of certain county included 1100 who were over the age of 25, and 871 of them were high school graduates, (a) Find the mean and standard deviation for the number of high school graduates in groups of 1100 Americans over the age of 25. Mean = %3D Standard deviation = (b) Is that county result of 871 unusually high, or low, or neither? (Enter HIGH or LOW or NEITHER) Give your answers exactly, or to at least 4 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 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)…According to a leasing firm's reports, the mean number of miles driven annually in its leased cars is 13,480 miles with a standard deviation of 1240 miles. The company recently starting using new contracts which require customers to have the cars serviced at their own expense. The company's owner believes the mean number of miles driven annually under the new contracts, H, is less than 13,480 miles. He takes a random sample of 80 cars under the new contracts. The cars in the sample had a mean of L3,280 annual miles driven. Is there support for the claim, at the 0.01 level of significance, that the population mean number of miles driven annually by cars under the new contracts, is less than 13,480 miles? Assume that the population standard deviation of miles driven annually was not affected by the change to the contracts. Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified…