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Suppose some researchers would like to investigate whether childhood participation in sports, cultural groups, and youth groups is related to improved self-esteem among adolescents. In a representative study, a sample of n = 100 adolescents with a history of group participation is given a standardized self-esteem questionnaire. For the general population of adolescents, scores on this questionnaire form a normal distribution with a mean of 40 and a standard deviation of 12 . A sample of adolescents who participated in group activities is obtained, and their average score on the questionnaire is 43.84. Does this sample provide evidence to conclude that self-esteem scores for group-participation adolescents are significantly different from those of the general population? Carry out a hypothesis test, showing all four steps. Use =.01 .
If the standard deviation in the above-described scenario had been , how would the results of the hypothesis test change? (Carry out the hypothesis test again, showing all four steps; use.)
Which of the following conditions must be met to conduct a test for the difference in two sample means? Suppose we test the difference between two proportions at the 0.05 level of significance. If the computed z is -1.07, what is our decision?
Compute the population mean, the population median, the population midrange, the population range, the population variance, the population standard deviation, and the population proportion of odd numbers. Verify the following results:
The Absent Minded Professor study was a RCT, which had an objective to estimate the protective effect of drug "No-Reminder" compared to drug "Reminder" on risk of "Forgetful syndrome". The study found that the drug "No-Reminder" was protective.
What is the probability that a randomly selected monthly cell phone bill is more than $100?
What percentage of the workers is paying between $1800 and $2400 per year toward the family health coverage premium? What is the probability that a worker pays more than $2500 towards the family health coverage premium?
Two independent samples of sizes n1 = 50 and n2 = 50 are randomly selected from two populations to test the difference between the population means. The sampling distribution of the sample mean difference, is:
Determine estimated average starting salary for school with average GMAT of 600 points?
It is reported that 45% of all college professors are extroverted. Suppose you have classes with six different professors. What is the probability that all six are extroverts?
Is there sufficient evidence to conclude that the true standard deviation σ of the fill measurements of 16-ounce cans is less than 0.1 ounce? Calculate the 95% confidence interval for the population mean.
What statistical procedure was used to analyze data in study B?
Find the sample correlation between returns on assets and the ratio of loans to deposits. Interpret the intercept and slope of the estimated regression line.
A manufacturer claims that the mean lifetime, mu, of its light bulbs is 44 months. The standard deviation of these lifetimes is 7 months. Seventy bulbs are selected at random, and their mean lifetime is found to be 43 months.
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