BFW Publishers There was no random sampling. One-sample z test for x ㅁㅁ The conditions for inference are met. Treatment was randomly assigned to the 36 women. DO: Find the sample mean, sample standard deviation, df, the standardized test statistic, and the P-value. Complete this by dragging the items from the answer bank and placing them in the correct boxes. Leave all unused items in the answer bank. x Sx df Standardized Test Statistic P-value 37 51.12 8.6552 6.73 Answer Bank approximately 1 306.7 -6.73 30 856.2 35 36 1200 approximately 0 0.0246 1301 CONCLUDE: Because the P-value a = 0.01, we Ho. There that the mean calcium intake for all women in the desired age group is less than 1200 mg. convincing evidence BFW Publishers The recommended daily allowance (RDA) of calcium for women between the ages of 18 and 24 years is 1200 milligrams (mg). Researchers who were involved in a large scale study of women's bone health suspected that their participants had significantly lower calcium intakes than the RDA. To test this suspicion, the researchers measured the daily calcium intake of a random sample of 36 women from the study who fell in the desired age range. The sample mean was 856.2 mg and the standard deviation was 306.7 mg. Do these data give convincing evidence at the a = 0.01 significance level that the researchers' suspicion is correct? STATE: Ho: 1200; Ha < 1200. Where the mean calcium intake (mg) for all women in the desired age group. Use a=0.01. Ho=1200; Ha: > 1200. Where = the mean calcium intake (mg) for all women in the desired age group. Use a = 0.01. Ho: < 1200; Ha: p=1200. Where = the mean calcium intake (mg) for all women in the desired age group. Use a=0.01. Ho: x=1200; Ha: x < 1200. Where x = the mean calcium intake (mg) for women in the random sample. Use a = 0.01. The evidence for H, is: = 1200. PLAN: Name the inference procedure and check the conditions. Select the 4 statements that are true. Random sample of 36 women in the desired age group. One-sample test for μ The Normal/Large Sample condition is met because n = 36 ≥ 10. The conditions for inference are not met. There was no random sampling. We don't know the shape of the population distribution, 36 ≥ 30. but the sample size is large: n = One-sample z test for We don't know the shape of the population distribution. One-sample test for x The conditions for inference are met.