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A random sample of n = 16 scores is obtained from a population with a mean of µ = 80 (assume ? is unknown) and a treatment is administered to the sample. After treatment, the sample mean is found to be M = 82 (assume higher numbers mean the person's symptoms are improving) with a standard deviation of s = 8. Using a single sample t-test, evaluate the hypothesis that the treatment had an effect.
a. Using symbols, state the hypotheses (H0 and H1) for a two-tailed test.
b. Find the critical value/region for an ? = .05 for a two-tailed test.
c. Calculate the test statistic (t-statistic) for the sample.
d. Make a decision and write a conclusion statement for your result.
Consider the case where we have n observations, sampled from a binomial pdf (our parameter estimator can therefore be given by X/n). Assume that the margin of error is 6%.
A sample of 19 albino Hungarian banded aardvarks was examined for nose length. Since this is a small sample, how various degrees of freedom will be used to find the t-score.
Conduct post hoc comparisons with the LSD method. Which groups differ significantly at α = 0.05?
What are the critical values for z on a one-tailed test if alpha = .01? .001? What would the critical values be at both levels of significance if it was a two-tailed test?
Find a point estimate of the population mean. Find the 95% confidence interval of the true mean. Assume the population standard deviation was 0.8.
If the standard deviation is $1050, how large a sample is needed to get the desired information and to be accurate within $200?
This result applies no matter what the shape of the probability distribution from which the samples are taken. Central Limit Theorem: How Large a Sample?
in order to provedisprove the null hypothesis that there is no salary discrimination you obtain random samples of male
Location along 500-ft assembly line from which to observe the work habits of the workers on the line. What is the probability that the point she selects is?
A mean score on a standardized test is 50 with a standard deviation of 10. Answer the following:
confidence interval estimate for the meandata nbspsample standard deviationnbsp1.9667sample meannbsp 20.73sample
A film alliance used a random sample of 50 U.S. citizens to estimate that the typical American spent 78 hours watching videos and DVDs last year. The standard deviation of this sample was 9 hours.
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