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Female undergraduates in randomized groups of 17 took part in a self-esteem study. The study measured an index of self-esteem from the point of view of competence, social acceptance, and physical attractiveness. Let x1, x2, and x3 be random variables representing the measure of self-esteem through x1 (competence), x2 (social acceptance), and x3 (attractiveness). Higher index values mean a more positive influence on self-esteem. Variable Sample Size Mean x Standard Deviation s Population Mean x1 17 20.25 3.34 ?1 x2 17 20.46 3.84 ?2 x3 17 17.00 3.25 ?3 (a) Find a 99% confidence interval for ?1 - ?2. (Use 2 decimal places.) lower limit ? upper limit ? (b) Find a 99% confidence interval for ?1 - ?3. (Use 2 decimal places.) lower limit ? upper limit ? (c) Find a 99% confidence interval for ?2 - ?3. (Use 2 decimal places.) lower limit ? upper limit ? (d) Comment on the meaning of each of the confidence intervals found in parts (a), (b), and (c). At the 99% confidence level, what can you say about the average differences in influence on self-esteem between competence and social acceptance? between competence and attractiveness? between social acceptance and attractiveness?
Four hundred people apply for three jobs. 110 of the applicants are women. (a) If three persons are selected at random, what is the probability that all are women?
Use an ANOVA with α=.05 to determine whether there are any significant differences among the three treatment means. (both by hand and in PASW), for the hand version of problem.
A particular bulb is turned on once each evening for an average of 10 hr. If it is desired to have a reliability of 90 percent, what is its design life in days?
city a has a mean family income of 65000 with a standard deviation of 2000. it also has proportion unemployed of .1. a
What is the probability that he can open the lock at random if he knows that the numbers in the combination cannot be repeated?
The density curve shown to the right takes the value 0.5 on the interval 0 ≤ x ≤ 2 and takes the value 0 everywhere else. What percent of the observations lie between 0.5 and 1.2?
Regarding four scales referring to levels of measurement: Nominal, Ordinal, Interval and Ratio. Please pick one and discuss one level of measurement, and briefly describe how you would use that type of measurement in a study.
White blood cell counts for a group of volunteers before being innoculated, and white blood cell counts for a second group of volunteers after being innoculated.
q1. average adult american are about one inch taller but nearly a whopping 25 pounds heavier than they were in 1960
What are examples of variables that follow a binomial probability distribution? What are examples of variables that follow a Poisson distribution? When might you use a geometric probability?
To determine whether there exists mean difference among the groups:
A random sample of 51 observations was selected from a normally distributed population. The sample mean was = 88.6, and the sample variance was s2 = 38.2.
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