| Number of Minutes Exercised Per Week | | PART ONE | Sample N | Sample Mean (M) | Sigma (σ) | Alpha | 95% Confidence Interval (+/-) | Lower Limit | Upper Limit |
| 89 | | Freshmen | 50 | 89.14 | 35.68 | 0.05 | 1.96 | 19.21 | 159.07 |
| 43 | | | | | 25 (-2) | No formula utilized for CI (-4) | | | E3-H3, E3+H3 (-2) | | | | | 12.4.12 |
| 47 | | 1. Conclusion in words (fill in the blanks): | | There is a 95 % chance that the range 19.21 to 159.07 contains the true population mean of 100 . |
| 143 | | Write the words/numbers that go in the blanks here: |
| 115 | | 2. What is the probability (or chance or risk) that the statement that "the population parameter falls between these limits" is not correct? |
| 136 | | Answer: | 5% |
| 29 | | 3. Does the confidence interval based on this sample contain the true population mean? (we don't always know this, but in this case we do) |
| 44 | | Answer: | yes, the population mean is given as 100 and is covered in this range of 19.21 to 159.07 | | | | | | | | No (-3) |
| 129 | | 4. What might the answer to number 3 tell us about our sample of Freshmen college students? |
| 98 | | Answer: | This suggests that the sample is a representative of the population |
| 99 | | 5. If you were to construct a 99% CI, would you expect it to be wider or narrower than the 95% CI you just figured? |
| 115 | | Answer: | For 99%, critical value of z is 2.58 | | | | the range is | -2.92 | to | 181.20 |
| 64 | | | yes, the range is wider than the 95% CI shown above. |
| 90 | | PART TWO |
| 132 | | Null Hypothesis (H0) |
| 72 | | Research Hypothesis (H1) |
| 141 | | One- or Two-tailed? | | If one-tailed, which direction, or tail (left or right), are we interested in? | | | | | | | Answer: | left |
| 26 |
| 144 | | Sample Size (N) |
| 78 | | Population Mean (μ) |
| 86 | | Population Standard Dev. (σ) |
| 110 | | Stand. Error of Mean (σM) |
| 69 |
| 37 | | Sample Mean |
| 42 | | Alpha |
| 77 | | Critical Z Value (cut-off score) | | Be sure your value is in the correct direction(s)! |
| 120 | | Sample Z |
| 51 |
| 56 | | Critical p-value |
| 87 | | Sample p-value | | Part 2 not comlete (-18) |
| 114 |
| 123 | | 1. Are the results of your hypothesis test statistically significant? What does this mean? |
| 28 | | Answer: the hypothesis is not statistically significance since the p value 0.9843 is less than the significance level 5 | | | | | | | | | Significant (-3) |
| 48 | | 2. Decision about null and research hypotheses (write in sentence form): |
| 107 | | Answer: the null and research hypotheses is rejected due to the low p value |
| 107 | | 3. If the population mean were unknown, what would be the best estimate of this value? |
| 42 | | Answer: a population mean of 80.14 will be appropriate if the significant value is 1 and none if its 5 | | | | | | | Sample mean (-3) |
| 105 | | 4. P-values represent probabilities based on the under the normal curve, and they range from to . | | | | | | | | | Area, 0 to 1 (-2) |
| 135 | | Write the words/numbers that go in the blanks here: | | | P- values represent probabilities based on the significance value under the normal curve and they range from 0.05 to 1.0 |
| 103 | | 5. The particular type of hypothesis test we used here is called the test. We can use this test when the values are known. |
| 57 | | Write the words/numbers that go in the blanks here: | | | the particular type of hypothesis test used here is called one tailed test. We can use this test when the significance values are known. |
| 89 | | | | | z, population (-3) |
| 100 |
| 142 |
| 45 |
| 77 |
| 133 |
| 130 |
| 107 |
| 96 |
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hw_stats_excel_5_april_21.xlsx
