A random sample of 200 villages was taken from a district and the average population per village was found to be 485 with a standard deviation of 50. Another random sample of 200 villages from the same district gave an average population of 510 per village with a standard deviation of 40. Is the difference between the two sample mean statistically significant at 5% level of confidence ?
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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 data,claim: μ>110n=11x¯=112s=15α=0.05one- tailed test
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- The mean age when smokers first start is 13 years old with a population standard deviation of 1.9 years. A researcher thinks that smoking age has significantly changed since the invention of ENDS- electronic nicotine delivery systems. A survey of smokers of this generation was done to see if the mean age has changed. The sample of 30 smokers found that their mean starting age was 12.2 years old. Do the data support the claim at the 1% significance level? What are the correct hypotheses? Ho: Select an answer v ? v years H3: Select an answer v years The test is: O One-tailed O Two-tailedThe owner of a local pizza store wishes to compare the sales per day at two different locations. The mean number of pizzas sold for 10 randomly selected days at Nizwa was 75.06 with a population standard deviation of 10.50. For a randomly selected 12 days at Muscat, the mean number of pizzas sold was 73.80 with a population standard deviation of 14.25. We wish to test whether there is a difference in the mean number of pizzas sold at the two locations using ?a 5 % significance level. What is the value of the test statistic in this case 1.71 .A O 1.84 .B None of these .C O 0.24 .D 2.20 .E O 2.65 .F OThanks 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 114, with a standard deviation of 15. The college records indicate that the mean IQ score for entering students from previous years is 112. 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 H, and the alternative hypothesis H. H :0 H :0 ロロ (b)…
- 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:…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 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)…A particular IQ test is standardized to a Normal model, with a mean of 80 and a standard deviation of 8. A group of 8,000 people had participated in a study based on IQ. Using the Empirical rule determine about how many of them should have IQ scores more than 72?
- The mean age when smokers first start is 13 years old with a population standard deviation of 1.8 years. A researcher thinks that smoking age has significantly changed since the invention of ENDS-electronic nicotine delivery systems. A survey of smokers of this generation was done to see if the mean age has changed. The sample of 35 smokers found that their mean starting age was 12.3 years old. Do the data support the- claim at the 5% significance level? What are the correct hypotheses? Ho: Select an answer e years H1: Select an answer e years Based on the hypotheses, find the following: Test Statistic z = (Round to 4 decimal places.) Critical Values = = (Round to 2 decimal places.) Based on the above we choose to Select an answer O that the mean age smokers The correct summary would be: Select an answer first start is different than 13.The mean age when smokers first start is 13 years old with a population standard deviation of 1.8 years. A researcher thinks that smoking age has significantly changed since the invention of ENDS-electronic nicotine delivery systems. A survey of smokers of this generation was done to see if the mean age has changed. The sample of 31 smokers found that their mean starting age was 12.4 years old. Do the data support the claim at the 1% significance level? What are the correct hypotheses? Họ: Select an answer ♥ years H1: Select an answer v years Based on the hypotheses, find the following: Test Statisticz = (Give answer to at least 4 decimal places) p-value = (Give answer to at least 4 decimal places) Based on the above we choose to Select an answer The correct summary would be: Select an answer mean age smokers first start is different than 13. that the claim that theThe blood platelet counts of a group of women have a bell-shaped distribution with a mean of 253.8 and a standard deviation of 61.7. What is the approximate percentage of women with platelet counts between 192.1 and 315.5?