The mean ± 1 SD of calcium intake (in mg) among 25 females, 12-14 years of age, below the poverty level is 6.56 ± 0.64. Similarly, the mean ± 1 SD of calcium intake among 40 females, 12-14 years of age, above the poverty level is 6.80 ± 0.76. Do we have sufficient evidence to conclude that the mean intake of calcium among females below the poverty level is significantly lower than the calcium intake of females above the poverty level?
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- The
mean ± 1 SD of calcium intake (in mg) among 25 females, 12-14 years of age, below the poverty level is 6.56 ± 0.64. Similarly, the mean ± 1 SD of calcium intake among 40 females, 12-14 years of age, above the poverty level is 6.80 ± 0.76. Do we have sufficient evidence to conclude that the mean intake of calcium among females below the poverty level is significantly lower than the calcium intake of females above the poverty level?
- State the null and alternative hypothesis in mathematical notation
- Ho:
- Ha:
- What is the level of significance to be used?
- What is the appropriate test statistic? Why?
- What is the critical region?
- Compute for the test statistic. Show all your computations below.
- What is the statistical decision? What is your basis for such decision?
- How would you conclude your findings? Be specific.
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- The mean ±1 sd of ln [calcium intake (mg)] among 25females, 12 to 14 years of age, below the poverty level is6.56 ± 0.64. Similarly, the mean ± 1 sd of ln [calcium intake(mg)] among 40 females, 12 to 14 years of age, above thepoverty level is 6.80 ± 0.76.8.3 What is the appropriate procedure to test for a significant difference in means between the two groups?,8.4 Implement the procedure in Problem 8.3 using the critical-value method.,8.5 What is the p-value corresponding to your answer to Problem 8.4?Obesity is an increasing problem in America among all age groups. A recent study reported 1276 individuals in a sample af 4115 adults were found to be obese (a bady mass index exceeding 30; this index is a measure of weight relative ta height). Five years ago, survey based on peaple's own assessmentrevealed that 20% of aduit Americans considered themselves obese. Does the mastrecent data suggest that the true proportion of adults who are cbese is more than 1.5 times the percentage from the self-assessment survey?Carry out a test using a significance level of 5%. Question 1 State your hypotheses. Họ:p = 1.5 vs HA:p 1.5 O Ho:p= po Vs HA:p> 1.5po O Hoip-0.3 vs Ha : pr 0.3 O Ho:p= 0.2 vs Ha p> 0.2 O Ho:p =0.2 vs HA : p 0.2 O Hoip=0.3 vs HA : p> 0.3The mean ±1 sd of ln [calcium intake (mg)] among 25females, 12 to 14 years of age, below the poverty level is6.56 ± 0.64. Similarly, the mean ± 1 sd of ln [calcium intake(mg)] among 40 females, 12 to 14 years of age, above thepoverty level is 6.80 ± 0.76. A.What is the appropriate procedure to test for a significant difference in means between the two groups?B. Implement the procedure in Problem 8.3 using theD.critical-value method.C. What is the p-value corresponding to your answer toProblem 8.4? Compute a 95% CI for the difference in meansbetween the two groups.
- The mean ±1 sd of ln [calcium intake (mg)] among 25females, 12 to 14 years of age, below the poverty level is6.56 ± 0.64. Similarly, the mean ± 1 sd of ln [calcium intake(mg)] among 40 females, 12 to 14 years of age, above thepoverty level is 6.80 ± 0.76 4-What is the p-value corresponding to your answer toProblem 8.4?Is there significant association between resting metabolic rate (RMR) related and body weight?The mean ±1 sd of ln [calcium intake (mg)] among 25females, 12 to 14 years of age, below the poverty level is6.56 ± 0.64. Similarly, the mean ± 1 sd of ln [calcium intake(mg)] among 40 females, 12 to 14 years of age, above thepoverty level is 6.80 ± 0.76 I need answer 8.5 and 8.68.2 Test for a significant difference between the variancesof the two groups.8.3 What is the appropriate procedure to test for a significant difference in means between the two groups?8.4 Implement the procedure in Problem 8.3 using thecritical-value method.8.5 What is the p-value corresponding to your answer toProblem 8.4?8.6 Compute a 95% CI for the difference in meansbetween the two groups.
- Suppose that you wish to estimate the difference between mean pH measurements of rainfalls in two different locations, one in relatively unpolluted area and the other in an area subject to heavy air pollution. You want to be 95% confident that the margin of error for the difference between mean pH of rainfalls in relatively unpolluted area and mean pH of rainfalls in an area subject to heavy air pollution will not exceed 0.1 pH. How many rainfalls (pH measurements) must be included in each sample? Assume that the variance of pH measurements in a relatively unpolluted area is equal to 2 = 20, and the variance of pH measurements in an area subject to heavy pollution is equal to 2 = 0.25, and samples will be of equal size (n = n₂ = n). 2 It is supposed that values of pH in rainfalls are normally distributed in polluted and unpolluted areas. The number of rainfalls (pH measurements) that must be included in each sample isANOTHER The negative effects of ambient air pollution on children's lung function has been well established, but less research is available about the impact of indoor air pollution. The authors of an article investigated the relationship between indoor air-pollution metrics and lung function growth among children ages 6-13 years living in four Chinese cities. For each subject in the study, the authors measured an important lung-capacity index known as FEV₁, the forced volume (in ml) of air that is exhaled in 1 second. Higher FEV₁ values are associated with greater lung capacity. Among the children in the study, 516 came from households that used coal for cooking or heating or both. Their FEV₁ mean was 1427 with a standard deviation of 325. (A complex statistical procedure was used to show that burning coal had a clear negative effect on mean FEV, levels.) (a) Calculate and interpret a 95% (two-sided) confidence interval for true average FEV, level in the population of all children from…Since the pandemic, the price of gasoline varies constantly from the last two months. However, youobserved that local gas stations charge higher price. You want to test your hypothesis that local gas stations are charging much more than the national average price for What is your claim about this problem? What is the null hypothesis of this study?
- NutritionThe mean ±1 sd of ln [calcium intake (mg)] among 25females, 12 to 14 years of age, below the poverty level is6.56 ± 0.64. Similarly, the mean ± 1 sd of ln [calcium intake(mg)] among 40 females, 12 to 14 years of age, above thepoverty level is 6.80 ± 0.76. 8.3 What is the appropriate procedure to test for a significant difference in means between the two groups?The mean ±1 sd of ln [calcium intake (mg)] among 25females, 12 to 14 years of age, below the poverty level is6.56 ± 0.64. Similarly, the mean ± 1 sd of ln [calcium intake(mg)] among 40 females, 12 to 14 years of age, above thepoverty level is 6.80 ± 0.76.8.6 Compute a 95% CI for the difference in meansbetween the two groupsAvalanches can be a real problem for travelers in the western United States and Canada. Slab avalanches studied in Canada had an average thickness of µ = 67 cm. A sample of 31 avalanches in the U.S. gave a sample mean of = 63.0 cm. It is known that o = 10.3 cm for this type of data. Use a 0.03 level of significance to test the claim that the mean slab thickness of avalanches in the United States is different from that in Canada. Use the P-Value Approach. What is the Decision for this problem? O There is not sufficient evidence at the 0.03 level of significance to show that the mean slab thickness of avalanches in the United States is different from that in Canada. There is sufficient evidence at the 0.03 level of significance to show that the mean slab thickness of avalanches in the United States is less than that in Canada. There is sufficient evidence at the 0.03 level of significance to show that the mean slab thickness of avalanches in the United States is different from that in…