A population has a mean of 200 and a standard deviation of 80. Suppose a sample of size 125 is selected and Z is used to estimate u. Use z-table. a. What is the probability that the sample mean will be within +6 of the population mean (to 4 decimals)? b. What is the probability that the sample mean will be within +11 of the population mean (to 4 decimals)?
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A: Z score Computation can be done using standard formula as shown below.
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- 6. A research center claims that at least 30% of adults in a certain country think that their taxes will be audited. In a random sample of 1200 adults in that country in a recent year, 26% say they are concerned that their taxes will be audited. At α=0.10, is there enough evidence to reject the center's claim? Complete parts (a) through (e) below. Question content area bottom Part 1 (a) Identify the claim and state H0 and Ha. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. enter your response here % of adults in the country think that their taxes will be audited. B. The percentage of adults in the country who think that their taxes will be audited is not enter your response here %. C. At least 30 30% of adults in the country think that their taxes will be audited. Your answer is correct. D. Less than…A manager wants to see if geographical region (Cape Town, Durban and Gauteng) is related with ownership of a tablet (“Have a tablet” and “No tablet”). Define the null hypothesis and the alternative hypothesis. A. H1: Geographical region and ownership of a tablet are independent vs H0: No relationship exists between Geographical region and ownership of a tablet B. H0: Geographical region and ownership of a tablet are independent vs H1: A relationship exists between Geographical region and ownership of a tablet C. H1: Geographical region and ownership of a tablet are independent vs H0: Geographical region is dependent on ownership of a tablet D. H0: A relationship exists between Geographical region and ownership of a tablet vs H1: No relationship exists between Geographical region and ownership of a tabletResearchers Kaitlin Woolley and Ayelet Fishbach (2019) told participants that they were participating in a study on the effects of Hunger. Pairs of participants were told to eat a snack of salsa and chips with a stranger, after which they engaged in a negotiation task. After which, they engaged in a negotation task. Half of the participant-pairs were randomly assigned to share a plate of salsa and chips, and the other half of participant-pairs were randomly assigned to eat their own individual servings. More specifically, the researchers reported that "participants were run in pairs of strangers. We preregistered the study and collected data from 200 undergraduate and graduate students outside a campus cafe (107 female; M=23.57 years, SD=8.80)" What did the researchers mean when they said they "preregistered the study"? a. They registered the study on a website so that students could signup to participate b. They recorded their research design and analysis plan before conducting the…
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- 2.43 In the 2009 stress tests applied to the nation’s biggest banks, the U.S. government determined that 10 of them needed a greater cushion of capital in order to absorb losses in a worst-case economic scenario. The banks, the bailout they received, and the additional cushion they were deemed to need are as shown below. Source: “Bank Stress-Test Results,” USA Today, May 8, 2009, p. 3B. x = Bailout y = Added Cash Bank Received Cushion Needed Bank of America $45.0 billion $33.9 billion Wells Fargo 25.0 13.7 GMAC 5.0 11.5 Citigroup 50.0 5.5 Regions 3.5 2.5 SunTrust 4.9…8A.If there is no seasonal effect on people getting sick, we would expect equal numbers of people getting sick in each season (winter, spring, summer and fall). A student takes a census of students who took Marketing Research in 2019 and finds that of the 280 students who took Marketing Research in 2019, 75 were sick in winter, 65 were sick in spring, 68 were sick in summer and 72 were sick in fall. She wonders if the excess in the winter is an indication that sickness rates are not uniform throughout the year. Perform the appropriate chi-square test and indicate the chi-square value below. (Report two decimals) QUESTION 8b Indicate whether the associated p-value for the chi-square value you calculated for question 8 is significant. Yes No2. A leading researcher in the study of interstate highway accidents proposes that a major cause of many collisions on the interstates is not the speed of the vehicles but rather the difference in speeds of the vehicles. When some vehicles are traveling slowly while other vehicles are traveling at speeds greatly in excess of the speed limit, the faster-moving vehicles may have to change lanes quickly, which can increase the chance of an accident. Thus, when there is a large variation in the speeds of the vehicles in a given location on the interstate, there may be a larger number of accidents than when the traffic is moving at a more uniform speed. The researcher believes that when the standard deviation in speed of vehicles exceeds 10 mph, the rate of accidents is greatly increased. During a 1-hour period of time, a random sample of 50 vehicles is selected from a section of an interstate known to have a high rate of accidents, and their speeds are recorded using a radar gun. The data…