How do you know when to use a t-test and when to use a Z test?
In what kind of research situation would you use a one sample t-test?/
For the following hypotheses test, find the critical t region and draw and shade the t distribution while noting the critical t value from the t table: a. n = 4 two-tailed test with α=.05 b. n = 100 one-tailed test with α=.01 c. n=99 two-tailed test with α=.01
A random sample of n = 12 individuals is selected from a population with µ = 70, and a treatment is administered to each individual in the sample. After treatment, the sample mean is found to be M = 74.5 with SS = 297. Is there evidence to indicate that your sample is significantly different from the population using α=.05? calculate the effect size for your results.
The term “spotlight effect” refers to overestimating the extent to which others notice your appearance or behavior, especially when you commit a social faux pas. Effectively, you feel as if you are suddenly standing in a spotlight with everyone looking. In one demonstration of this phenomenon, Gilovich, Medvec, and Savitsky (2000) asked college students to put on a Barry Manilow T-shirt that fellow students had previously judged to be embarrassing. The participants were then led into a room in which other students were already participating in an experiment. After a few minutes, the participant was led back out of the room and was allowed to remove the shirt. Later, each participant was asked to estimate how many people in the room had noticed the shirt. The individuals who were in the room were also asked whether they noticed the shirt. In the study, the participants significantly overestimated the actual number of people who had noticed. In a similar study using a sample of n = 9 participants, the individuals who wore the shirt produced an average estimate of M = 6.4 with SS = 162. The average number who said they noticed was 3.1. Is the estimate from the participants significantly different from the actual number? Test the null hypothesis that the true mean is μ = 3.1 using a two-tailed test with α = .05.