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- In 2013 students from a Statistics class at FSEV UK were asked to survey their friends who were 15-30 years old, in order to explore the interests of young people. The survey has a variety of questions, which are detailed in the Survey Key. For example, the column header “Music” is short for the question “I enjoy listening to music” and is rated 1-5, where 1 represents strongly disagree and 5 represents strongly agree. There is also some categorical data present as well. Survey participants record their gender, how often they smoke/drink, their internet usage, and education (just to name a few!). Please perform a hypothesis test based on one of the categorical variables and one survey question. For example, you could choose to prove the following: Survey participants who identify as an “only child” enjoy meeting new people (Survey score ). Here is an example: people who are right-handed (as identified in the data set) enjoy listening to music. Please be sure to use two columns…What is the Mean of the Millennial Group? how about the Gen Z group?A researcher gathered a sample of participants who volunteered for a studying of phobias. She measured anxiety level of participants as they viewed photos of spiders and again when they viewed puppies. Which statistical test is appropriate for this study and why?
- A warehouse manager wants to know if there is an association between the shift worked and being on time for work. To investigate, he selects a random sample of 70 workers and classifies each one according to the shift they worked most recently and whether they were on time for work. He was unable to classify a substantial number of people as being on time, so he classified those individuals as unknown. The data are displayed in the table. The manager would like to know if these data provide convincing evidence of an association between the shift worked and being on time in the large population of all workers at this warehouse. The random and 10% conditions are met. Is the Large Counts condition met? Yes, the smallest expected count is 5, so all expected counts are at least 5. Yes, the smallest expected count is 8.54, so all expected counts are at least 5. No, the smallest expected count is 2.56, so the expected counts are not all at least 5. No, the smallest expected count is…What do the results mean? What type of error could you be making and what would that mean? Redo as a one-tail test, expecting a decrease in the number of headaches. Pay attention to what changes and what doesn’t and why.It is believed that 11% of all Americans are left-handed. A college needs to know how many left-handed desks to place in the big lecture halls being constructed on its campus. In a random sample of 210 students from that college, whether or not a student was left-handed was recorded for each student. The college wants to know if the data provide enough evidence to show that students at this college have a different percentage of left-handers than the general American population? State the random variable, population parameter, and hypotheses. State the Type I and Type II errors in the context of this problem.a) The symbol for the random variable involved in this problem is The wording for the random variable in context is as follows: b) The symbol for the parameter involved in this problem is The wording for the parameter in context is as follows: c) Fill in the correct null and alternative hypotheses: H0:H0: HA:HA:…
- You would like to estimate the variance of sick days at a Fortune 500 company. You randomly select 15 employees and record how many sick days they have used in the past year and you get a sample standard deviation of 1.2. Provide a 95% confidence interval estimate of the population variance.Medical researchers followed 6272 Swedish men for 30 years to see if there was any association between the amount of fish in their diet and prostate cancer. (“Fatty Fish Consumption and Risk of Prostate Cancer,” Lancet, June 2001). A summary of the data is given in the table below. Fish Consumption No Prostate Cancers Prostate Cancers Never/Seldom 110 14 Small part of diet 2420 201 Moderate part of diet 2769 209 Large part of diet 507 42 A) If a patient is randomly selected, what is the probability that he/she had prostate cancer given that fish was never or seldom a part of the diet? Round your answer to three decimal places and include the leading zero. B) If a patient is randomly selected, what is the probability that s/he ate fish as a large part of their diet given that they had prostate cancer. Round your answer to two decimal places and include the leading zero.A1
- An educational psychologist is interested in whether using a child’s own name in a story affected attention span while reading. Six children were randomly assigned to read a story under ordinary conditions (using common and generic names). Five other children read versions of the same story, but with each child’s ownname substituted for one of the children in the story. The researcher measured the amount of time (in minutes) each child spent reading the story. The results are shown in the following table. Does including the child’s namemake any difference in attention span? Test the hypothesis at an alpha set to .05, following these steps: a) write the null and alternative hypotheses; b) determine the critical value(s); c) draw the comparison distribution with rejection region(s) shaded; d)use the correct formula to compute the test statistic; e) state the statistical decision; f) state a brief conclusion.It is known that 9 out of 10 people are right handed. Would 35 right handed people out of group of 93 be considered significantly low, significantly high, or neither? Show your work below.A movie director who combines dark humor and neo-western in his films is curious about gender preferences about his movies. His team randomly sampled 12 male and 14 female movie fans and had them score one of his movies after watching it. Here are the scores: Males: 85 59 90 81 90 88 87 87 64 82 87 63Females: 79 79 79 83 76 77 74 85 69 75 82 77 72 63 In order to investigate whether there is enough evidence to conclude that males actually like his movies more, the test statistic is Blank 1. Fill in the blank, read surrounding text.and the p-value is Blank 2. Fill in the blank, read surrounding text.. (Hint:Assume the populations are Normal and variances are equal, Use the mean of males as Mu1)