1) Daily low temperatures in Columbus, OH in January 2014 were approximately normally distributed with a mean of 15.45 and a standard deviation of 13.70.Temperatures in the top 10.93% of days cause the snow and ice to begin to melt. What is the minimum temperature needed for the thaw to begin? (enter a number only, rounded to the nearest 2 decimal places)2)Most tests that give IQ scores are designed to have a mean of 100 and a standard deviation of 15. IQ testing is one way in which people are categorized as having different levels of intellectual disability (the category formerly known as mental retardation). Prior to DSM-V, when the term mental retardation was used, four categories were distinguished. Two of those categories are shown below:-IQ of 20-35 (in combination with impaired life skills): severe mental retardation-IQ of 50-70 (in combination with impaired life skills): mild mental retardationPeople with scores above 70 were not considered to have mental retardation.The IQ test was used first, and then, if a personâs score fell into the range for mental retardation (70 or below) above, that person would be assessed for life skill impairments.What percentage of people would be expected to have IQ scores that might put them into the mild mental retardation range? Assume that IQ scores are normally distributed in the population. (Enter a number without the percent sign, rounded to the nearest 2 decimal places)3)The average height of 15-year-old girls is 63.8 inches, with a standard deviation of 2.66 inches. A teacher surveys her class of thirty-three 15-year-old girls and finds an average height of 62.6 inches.What percent of groups of this size (33) would you expect to have an average height taller than this sample? (enter a number only, rounded to the nearest 2 decimal places)4) For the following example, select the symbolic version of the null hypothesis:A student wonders if grades in a class are in any way related to where a student sits in the classroom. In particular, do students who sit in the front row get better grades, on average, than the general population of students?a) Ho: ?(front_row_students) ? ?(general_pop_students)b) Ho: ?(front_row_students) ? ?(general_pop_students)c) Ho: ?(front_row_students) > ?(general_pop_students)d) Ho: ?(front_row_students) ? ?(general_pop_students)e) Ho: ?(front_row_students) = ?(general_pop_students)f) Ho: ?(front_row_students) < ?(general_pop_students)5) For the following example, select the symbolic version of the null hypothesis:Cell phones are everywhere, and we are now available by phone almost all of the time. Does this translate into a change of the closeness of our long-distance relationships?a) Ho: ?(with_cellphones) > ?(without_cellphones)b) Ho: ?(with_cellphones) ? ?(without_cellphones)c) Ho: ?(with_cellphones) < ?(without_cellphones)d) Ho: ?(with_cellphones) = ?(without_cellphones)e) Ho: ?(with_cellphones) ? ?(without_cellphones)f) Ho: ?(with_cellphones) ? ?(without_cellphones)6) If the cutoffs for a z test are -1.96 and 1.96, choose which of the following z scores would cause you to fail to reject the null hypothesis. (select the appropriate z score or scores)a) 1.76b) 0c) 2.5d) 1.5e) -1.99f) -2.3g) -1.657) If the cutoff for a one-tailed z test is -1.65, choose which of the following z scores would cause you tofail toreject the null hypothesis. (select the appropriate z score or scores)a) -2.3b) 1.5c) 0d) -1.99e) -1.2f) -1.96g) 2.5
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