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- A market researcher for a consumer electronics company wants to study the media viewing behavior of residence of a particular area. A random sample of 40 respondents is selected and each respondent is instructed to keep a detailed Record of time spent in gaged doing contact across all screens in a particular week. The results are as follows: continuing time per week: x=54 hours, s=4.1 hours. 8 respondents have high definition on at least one television set.These are the selections for the drop down boxes in parenthesis. The hypothesis test will be (two-tailed, left-tailed, right-tailed) Reject the (alternative or null) hypothesis that the proportion of customers who have hair is (less than, not equal to, greater than, equal to) 0.93 in which case there is evidence (in support of, to reject) the claim that the proportion customers is greater than 0.93. Do not reject the (alternative, null) hypothesis, in which case there is not enough evidence to (Support, reject) the claim that the proportion of customers who have hair is greater than 0.93.A class contains 30 students. The probability of failing in one of the courses for each student is 0.02, but there is no chance to fail in more than one course. You know that a student failed in a course, the probability that the fail reason in non-attendance is 0.015. All other fail reasons are low average. The examinations are private, so the results are mutually independent. Let X and Y be the numbers of failed students due to non-attendance and due to low average, respectively, in that class this semester. Find the joint MGF
- A statistician has to decide on the basis of two obser-vations whether the parameter θ of a binomial distribu-tion is 1 4 or 12 ; his loss (a penalty that is deducted from hisfee) is $160 if he is wrong.(a) Construct a table showing the four possible values ofthe loss function. (b) List the eight possible decision functions and con-struct a table showing all the values of the corresponding risk function.(c) Show that three of the decision functions are notadmissible.(d) Find the decision function that is best according to theminimax criterion.(e) Find the decision function that is best according to theBayes criterion if the probabilities assigned to θ = 14 and θ = 12 are, respectively, 23 and 13 .A hypothesis test is to be performed for a population mean with null hypothesis =:H0μμ0 . The test statistic used will be =z−xμ0/σn . Find the critical value(s) for a two-tailed test with =α0.2 and draw a graph that illustrates your answer. y x 1 2 3 4 -1 -2 -3 -4 RejectH0 Do not rejectH0 RejectH0 −0.25 0.25 0 z y x 1 2 3 4 -1 -2 -3 -4 RejectH0 Do not rejectH0 RejectH0 −0.84 0 z −0.25, 0.25 −0.84 y x 1 2 3 4 -1 -2 -3 -4 RejectH0 Do not rejectH0 RejectH0 −1.28 1.28 0.1 0.1 0 z y x 1 2 3 4 -1 -2 -3 -4 RejectH0 Do not rejectH0 RejectH0 −0.84 0.84 0 z −1.28, 1.28 −0.84, 0.84Make up the data for a two-independent sample t test showing exam scores between 2 groups (you determine what the groups are). Assume there are 20 participants in each group. You will create 2 of these t tests using the same variables and same number of participants; however, for one of the t tests, you will get a significant difference when σ = .05 and for the other t test, you will not get a significant difference when σ = .05. Moreover, you will make sure that the means for each group are the same (within 1 point) for both t tests. For example, for the first t test, Group 1 might have a mean of 75.2 and Group 2 might have a mean of 80.7, which is a significant difference; however for the second t test, Group 1 has a mean of 75.3 and Group 2 has a mean of 80.7, but there is not significant difference. When figuring this problem out, make sure none of the variables have a Skew Statistic that if +1 from the mean. solve in deatil by using SPSS step by step process
- A researcher hypothesizes that students who work more than 20 hours per week will have a lower GPA than the population of all students. She gathers the GPA’s of a sample of 12 students who work more than 20 hours per week. She already knows the overall mean GPA for the population of students is 2.7. Here are the sample’s GPAs: 1, 2.5, 1.9, 2.7, 3.0, 2.3, 2.4, 2.9, 2.6, 2.0, 2.4, 2.5. In the space below: What does this mean about working over 20 hours per week compared to the population?Certain rockets are manufactured with a range of 2,500 meters. It is theorized that the range will be reduced after the rockets are in storage for some time. Six of these rockets are stored for a certain period of time and then tested. The ranges found in the tests are as follows: 2,490, 2,510, 2,360, 2,410, 2,300, and 2,440. Does the range appear to be shorter after storage? Test at the 1% significance level.Assume a member is selected at random from the population represented by the graph. Find the probability that the member selected at random is from the shaded region of the graph. Assume the variable x is normally distributed. Pregnancy Length in a Population of New Mothers 282235293Pregnancy length (in days) μ=267 σ=12 282<x<293 x A graph titled "Pregnancy Length in a Population of New Mothers" has a horizontal x-axis labeled "Pregnancy length (in days)" from about 225 to 309 with tick marks at 235, 282, and 293. A normal curve labeled μ = 267 σ = 12 is centered above the x-axis at 267. Two vertical line segments extend from the curve to the x-axis at 282 and 293. The area below the curve and between the two vertical line segments is shaded and labeled 282 < x < 293. The probability that the member selected at random is from the shaded area of the graph is nothing. (Round to four decimal places as needed.)
- Suppose that you enter a fantasy baseball league. Suppose that the 2021 team budget, say , is randomly drawn from a uniform distribution on the interval , where the unit is U.S. million dollars. In addition, suppose that after the value has been observed , the 2022 team budget, say , is randomly drawn from a uniform distribution on the interval . In other words, the 2022 budget is at most as large as the 2021 budget. a) For any given value of x(50<x<350), obtain E[Y|X=x] b) In view of part (a), obtain E[Y|X] c) Atlanta Braves won the 2021 World Series title. Their estimated 2022 payroll is about $130 million. Would your 2022 fantasy baseball budget be on average larger than their 2022 payroll? Explain briefly.Indicate for each which type of t test is appropriate (independent, dependent). A researcher would like to demonstrate how different schedules of reinforcement can influence behavior. Two separate groups of rats are trained to press a bar in order to receive a food pellet. One group is trained using a FR schedule where they receive 1 pellet for every 10 bar presses. The second group is trained using a FI schedule where they receives one pellet for the first bar press that occurs within a 30 second interval. After 4 days of training the researcher records the response rate for each rat.Dr. Abba hypothesizes A physician hypothesizes that males have higher systolic blood pressure than females. that students will rate their life satisfaction lower at the completion of a humanities course. To test this hypothesis, he collects life satisfaction ratings for all students in the course at the start of the semester and again at the end of the semester. Below are the data. What can be concluded with an an α of 0.05? start end 82758281918187767582 91848693908887798887 A) Obtain/compute the appropriate values to make a decision about H0. critical value= t statistic= B) If appropriate, compute the CI. If not appropriate, input "na" for both spaces below. C)Compute the corresponding effect size(s) and indicate magnitude(s).If not appropriate, input and/or select "na" below. d= r2=
