For each of the following situations, specify which statisti…

For each of the following situations, specify which statistical procedure would be appropriate and why. You may choose among any of those we covered this semester. A questionnaire was sent to collect data on voters of a recent bill on gun control. In addition to asking whether the respondent voted “yes” or “no”, several other quantitative questions were asked, including age, number of guns owned, etc. The data scientist was interested in whether there was a difference between those who voted “yes” and those who voted “no” on average. A sample of children were given a test that measured each of three cognitive abilities: oral, qualitative, and quantitative. Additionally, they were evaluated on six problem-solving abilities. Researchers were interested in the extent of the connection between the cognitive abilities and the problem-solving abilities. Consider the scenario in part B above involving the abilities. However, suppose instead that the researchers collected only the six variables on problem solving but wished to explain those observed skills in terms of three latent variables related to cognitive ability. To fit a statistical model from a relatively small sample of data involving four quantitative variables, a multivariate normal distribution must be assumed. The student charged with assessing normality would like a visual aid suitable for all four variables simultaneously.

For a sample of 1000 employees, several features were observ…

For a sample of 1000 employees, several features were observed. Among observed variables are, scores for two psychological tests (PsychTest1 and PsychTest2), years of education (YrsEdu), IQ score (IQ), hours of training (HrsTrn) and hours in a work week (HrsWrk). Following are factor loadings from a factor analysis of the standardized variables. The principal components method was used along with a varimax rotation. Calculate the communality for the variable PsychTest1. Interpret this value.  What is the amount of variance (in the observed variables) explained by factor 1? What proportion of the total variance in six variables is explained by the first factor? Provide a brief interpretation of each factor. 

A parent expresses concern to a nurse about their 6-year old…

A parent expresses concern to a nurse about their 6-year old child’s bedtime routine. The parent states that the child goes to bed around 9:00 pm but has a lot of difficulty falling and staying asleep and waking up at least three times during the night a week. What further assessment should the nurse make? (Select all that apply)