Question

In: Statistics and Probability

A researcher believes that women today weigh less than in previous years. To investigate this belief,...

A researcher believes that women today weigh less than in previous years. To investigate this belief, she randomly samples 15 adult women and records their weights. The scores have a mean of 111 lbs. and a standard deviation of 13.4. A local census taken several years ago shows the mean weight of adult women was 120 lbs.

What would you conclude using α =0.011tail? Make sure to indicate your hypotheses, your critical value, your decision, and your conclusion.

1. What is the alternative hypothesis?                               ["Women today weigh less than in previous years", "Women today weigh more than in previous years", "Women today do not weigh less than in previous years", "Women today weigh the same as in previous years"]      

2. What is the null hypothesis?                               ["Women today weigh less than in previous years", "Women today weigh more than in previous years", "Women today do not weigh less than in previous years", "Women today weigh the same as in previous years"]      

3. What inferential test is being conducted?                               ["single sample z test", "single sample t test", "independent group t test", "paired group t test"]      

4. What is the obtained statistic?                               ["2.60", "-2.60", "0.67", "-10.07"]      

5. What is the critical value?                               ["2.624", "2.145", "2.602", "1.761"]      

6. What is your decision?                               ["reject the null hypothesis", "reject the alternative hypothesis", "retain the null hypothesis", "retain the alternative hypothesis", "accept the null hypothesis", "accept the alternative hypothesis"]      

7. What is your conclusion?                               ["We conclude that women today weigh less than in previous years", "We cannot conclude that women today weigh less than in previous years", "We conclude that women today weigh the same as in previous years"]      

8. What is your effect size?                               ["Not applicable as we failed to reject the null hypothesis", "large", "medium", "small"]      

9. What error might you be making?

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Expert Solution

orchestra answered 1 year ago
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