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- On weekdays during the academic year, the number of telephone calls at the main University call center follows a Poisson Point Process with a mean of 4 calls per minute.In a study on a certain type of machine, the number of electronic components with standardreliability values was found to be evenly distributed between 10 and 35. Compute the averageAccording to a 2017 survey conducted by the technology market research firm The Radicati Group, U.S. office workers receive an average of 121 e-mails per day (Entrepreneur magazine website). Assume the number of e-mails received per hour follows a Poisson distribution and that the average number of e-mails received per hour is five.
- The types of raw materials used to construct stone tools found at an archaeological site are shown below. A random sample of 1486 stone tools were obtained from a current excavation site. Raw Material Regional Percent of Stone Tools Observed Number of Tools as Current excavation Site Basalt 61.3% 892 Obsidian 10.6% 165 Welded Tuff 11.4% 169 Pedernal chert 13.1% 199 Other 3.6% 61 Use a 1% level of significance to test the claim that the regional distribution of raw materials fits the distribution at the current excavation site. a) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.)A sample has a minimum value of 7 and a maximum value of 58 .Estimate its variance.A simple random sample of front-seat occupants involved in car crashes is obtained. Among3000occupants not wearing seat belts,36were killed. Among 7697occupants wearing seat belts,18were killed. Use a0.05significance level to test the claim that seat belts are effective in reducing fatalities. Complete parts (a) through (c) below.
- According to a certain government agency for a large country, the proportion of fatal traffic accidents in the country in which the driver had a positive blood alcohol concentration (BAC) is 0.33.Suppose a random sample of 109 traffic fatalities in a certain region results in 47that involved a positive BAC. Does the sample evidence suggest that the region has a higher proportion of traffic fatalities involving a positive BAC than the country at the α=0.05 level of significance?The types of raw materials used to construct stone tools found at an archaeological site are shown below. A random sample of 1486 stone tools were obtained from a current excavation site. Raw Material Regional Percent of Stone Tools Observed Number of Tools as Current excavation Site Basalt 61.3% 908 Obsidian 10.6% 166 Welded Tuff 11.4% 165 Pedernal chert 13.1% 198 Other 3.6% 49 Use a 1% level of significance to test the claim that the regional distribution of raw materials fits the distribution at the current excavation site. (a) What is the level of significance?State the null and alternate hypotheses. H0: The distributions are different.H1: The distributions are the same.H0: The distributions are the same.H1: The distributions are the same. H0: The distributions are different.H1: The distributions are different.H0: The distributions are the same.H1: The distributions are different. (b) Find the value of the chi-square statistic for the sample. (Round the…The types of raw materials used to construct stone tools found at an archaeological site are shown below. A random sample of 1486 stone tools were obtained from a current excavation site. Raw Material Regional Percent of Stone Tools Observed Number of Tools as Current excavation Site Basalt 61.3% 889 Obsidian 10.6% 162 Welded Tuff 11.4% 167 Pedernal chert 13.1% 216 Other 3.6% 52 Use a 1% level of significance to test the claim that the regional distribution of raw materials fits the distribution at the current excavation site. Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.) Find or estimate the P-value of the sample test statistic. P-value > 0.100 0.050 < P-value < 0.100 0.025 < P-value < 0.050 0.010 < P-value < 0.025 0.005 < P-value < 0.010 P-value < 0.005 Based on your answers in parts (a) to (c), will…
- The types of raw materials used to construct stone tools found at an archaeological site are shown below. A random sample of 1486 stone tools were obtained from a current excavation site. Raw Material Regional Percent of Stone Tools Observed Number of Tools as Current excavation Site Basalt 61.3% 902 Obsidian 10.6% 165 Welded Tuff 11.4% 166 Pedernal chert 13.1% 204 Other 3.6% 49 Use a 1% level of significance to test the claim that the regional distribution of raw materials fits the distribution at the current excavation site. (a) What is the level of significance? State the null and alternate hypotheses. H0: The distributions are the same.H1: The distributions are the same.H0: The distributions are the same.H1: The distributions are different. H0: The distributions are different.H1: The distributions are different.H0: The distributions are different.H1: The distributions are the same. (b) Find the value of the chi-square statistic for the sample. (Round the…The types of raw materials used to construct stone tools found at an archaeological site are shown below. A random sample of 1486 stone tools were obtained from a current excavation site. Raw Material Regional Percent of Stone Tools Observed Number of Tools as Current excavation Site Basalt 61.3% 898 Obsidian 10.6% 163 Welded Tuff 11.4% 168 Pedernal chert 13.1% 211 Other 3.6% 46 Use a 1% level of significance to test the claim that the regional distribution of raw materials fits the distribution at the current excavation site. (a) What is the level of significance?State the null and alternate hypotheses. -H0: The distributions are the same.H1: The distributions are different -H0: The distributions are different.H1: The distributions are different. -H0: The distributions are the same.H1: The distributions are the same. -H0: The distributions are different.H1: The distributions are the same. (b) Find the value of the chi-square statistic for the sample. (Round the…A report by the Gallup Poll stated that on average a woman visits her physician 5.8 times a year. A researcher randomly selects 20 women and obtained onto the data below.