According to the most recent Labor Department data, 10% of engineers (electrical, mechanical, civil, and industrial) were women. Suppose a random sample of 14 engineers is selected. How likely is it that the random sample will contain fewer than 2 women in these positions?
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13) According to the most recent Labor Department data, 10% of engineers (electrical, mechanical,
civil, and industrial) were women. Suppose a random sample of 14 engineers is selected. How
likely is it that the random sample will contain fewer than 2 women in these positions?
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- 92. A researcher wants to measure the job satisfaction levels of the employees of two fast food company located in Manila. The researcher has used a questionnaire consisting of ten questions related to job satisfaction levels of the employees. The researcher has used a rating scale from 1 to 4 where 1 is the lowest score and 4 is the highest score. So, a maximum score of 40 and a minimum score of 10 can be obtained. The researcher has randomly selected 15 employees from the first company and 17 employees from the second company. The scores obtained from these employees are given below: First Company: 32 40 31 33 32 30 30 32 31 32 34 32 38 32 28 Second Company: 25 28 23 27 24 26 27 22 25 26 34 25 23 22 29 27 24 Taking 5% as the alpha level, examine the significant difference in terms of job satisfaction level between the employees of the two companies.15. The U.S. Energy Information Administration claimed that in 2017, U.S. residential customers used an average of 10,399 kilowatt hours (kWh) of electricity. A local power company believes that residents in their area use more electricity on average than EIA’s reported average. To test their claim, the company chooses a random sample of 100 of their customers and calculates that these customers used an average of 10,608 kWh of electricity in the prior year. Assuming that the population standard deviation is 1361 kWh, is there sufficient evidence to support the power company’s claim at the 0.05 level of significance? (a) Symbolically, state the null and alternative hypothesis and state which is the claim. (b) Calculate the standardized test statistic. You must show a filled out standardized test statistic formula. (c) Find either the critical values and identify the rejection regions or find the p-value. Also, decide whether to reject or fail to reject the null hypothesis and be sure…
- 28) A study published in the American Journal of Public Health was conducted to determine whether the use of seat belts in motor vehicles depends on ethnic status in San Diego County. A sample of 792 children treated for injuries sustained from motor vehicle accidents was obtained, and each child was classified according to (1) ethnic status (Hispanic or non-Hispanic) and (2) seat belt usage (worn or not worn) during the accident. The number of children in each category is given in the table below. Seat belts worn Seat belts not worn Hispanic 31 283 Non-Hispanic 148 330 Referring to these data, which of the following conclusions should be reached if the appropriate ni hypothesis is conducted using an alpha = .05 level? Tuoria enolzubaos griwollet Jo bidw ,20, of A) There is no relationship between whether someone is Hispanic and whether they wear a seat da srli to nabreg neowisd qilarrodslets al sist bel B) The use of seat belts and whether a person is Hispanic or not is statistically…6. To promote domestic consumption, Country A's government wants to determine the impact on household annual expenditures on consumption items if small stimulus checks were sent monthly over a one year period. To determine if these small stimulus checks would increase household expenditures on consumption items, it chose five households at random, determined their annual expenditure on consumption items for the year before and sent the stimulus checks for a year. The table below shows total amount of annual expenditure on consumption items by the households before and after receipt of the checks. Based on these observations, determine whether there would be a statistically significant difference in the mean annual expenditure on consumption items for the entire population of the Country A if this policy were adopted for the entire country. Use a level of significant of a = .01. Recipient 1 2 3 4 5 Before Receipt ($, in thousands) 63 38 70 65 62 After Receipt ($, in thousands) 65 42 68…16. The Higher Education Research Institute at UCLA collected data from 203,967 incoming first-time, full-time freshmen from 270 four-year colleges and universities in the U.S. 71.6% of those students replied that, yes, they believe that same-sex couples should have the right to legal marital status. Suppose that you randomly pick twelve first-time, full-time freshmen from the survey. You are interested in the number that believes that same-sex couples should have the right to legal marital status.What is the standard deviation (?)? (Round your answer to four decimal places.)? = ___________
- 4. A newspaper story claims that more houses are purchased by singles now than singles 5 years ago. To test this claim, two studies were conducted on the buying habits of singles over the past 5 years. In the first study, 200 house purchases in the current year were randomly selected and 80 of those were made by singles. In the second study, again 200 house purchases were randomly selected from 5 years ago and 57 of those were made by single people. Test the newspaper's claim using a 0.05 level of significance. Is there sufficient evidence to support the newspaper's claim? Let singles now be Population 1 and let singles 5 years ago be Population 2. Step 1. State the null and alternative hypotheses for the test. Fill in the blank below. A) Step 2. Compute the value of the test statistic. Round your answer to two decimal places. Step 3. Draw a conclusion and interpret the decision. A) We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.05 level…26) A phycologist is interested in determining the proportion of algae samples from a local rivulet that belonged to a particular phylum. A random sample of 50 algae was obtained and each alga was categorized as either being cyanobacteria or not. It was found that 38 were, in fact, cyanobacteria. a) The proportion p that was cyanobacteria isA. 38B. 0.38C. 0.5D. 0.76E. 50 b) (Continue from the previous question),What is the standard error of the proportion p, i.e. S.E.(p), that were cyanobacteriaisA. 0.0036B. 0.0604C. 0.0684D. 0.1824E. None of the abovea researcher in a large organisation wishes to study sickness absence among its employees. the organisation has a large number of branches. each keeps its records of its sickness leave.after a sample was collected it became apparent that the branches fell into three natural groups in terms of sales small, medium and large.from the data of all the branches the researcher found that 210 randomly selected staff 90 worked in small branches 36 in medium branches and the rest worked in large branches. in total 96 of the selected staff had no sickness day off of which 52 worked in small branches and 29 worked in large branches. form a table showing this information clearlya researcher in a large organisation wishes to study sickness absence among its employees. the organisation has a large number of branches. each keeps its records of its sickness leave.after a sample was collected it became apparent that the branches fell into three natural groups in terms of sales small, medium and…
- 9. In order to investigate a rumor that there is a greater than expected number of girls among the children of chemists, Science magazine conducted an informal survey of eight chemistry departments. A secretary in the chemistry department at Indiana University, Bloomington, thought there might be something to this rumor and made sure that every one of the 34 faculty members in her department who have children responded to the Science survey. Altogether these Indiana chemists have 53 (56%) girls and 41 (44%) boys. Is this evidence that chemists produce more girl babies than expected? What kind of data would you prefer before drawing this type of conclusion? Explain how your idea would make the evidence produced more convincing.b) A certain pay television company wishes to estimate the proportion of its customers who would purchase a pay television program guide. To do this, the company manager decides to select a random sample of customers and note the number who would purchase a program guide. Suppose that experience in other areas suggests that about 13% of customers will purchase a program guide. How many customers should the company manager include in his sample if he wishes to estimate the true proportion who will purchase the program guide correct to within 5% (0.05) with a confidence level of 95%?1. A lawn mower company will produce 1,500 lawn mowers by 2020. In an effort to determine how much maintenance free consumers will take when they already buy lawn mowers, the company decided to conduct a study over the past 1 year of these mowers. . First, a random sample was taken by contacting 200 grass mowers. The company owner provides an 800 number and is asked to contact the company when the first repair is needed for the lawn mower. Owners who no longer use lawn mowers to cut their grass are either disqualified or not sampled. After 1 year, it turned out that 187 owners had reported for the first repair. However, the other 50 disqualified themselves. The average number per year until the first improvement was 5.3 times for samples deemed feasible. It is believed that the standard deviation is 1.28 per year. If the company wants to advertise the lawnmower and with a confidence level of 95%, what is the estimated annual mean value of repair-free lawn mower for this lawn mower?…
