Low-fat or low-carb? Are low-fat diets or low-carb diets more effective for weight loss
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Low-fat or low-carb? Are low-fat diets or low-carb diets more effective for weight loss? A sample of
subjects went on a low-carbohydrate diet for six months. At the end of that time, the sample mean weight loss was
kilograms with a sample standard deviation of
kilograms. A second sample of
subjects went on a low-fat diet. Their sample mean weight loss was
kilograms with a standard deviation of
kilograms
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- Fuel efficiency of Prius: Fueleconomy.gov, the official US government source for fuel economy information, allows users to share gas mileage information on their vehicles. The histogram below shows the distribution of gas mileage in miles per gallon (MPG) from 14 users who drive a 2012 Toyota Prius. The sample mean is 53.3 MPG and the standard deviation is 5.2 MPG. Note that these data are user estimates and since the source data cannot be verified, the accuracy of these estimates are not guaranteed. (a) The EPA claims that a 2012 Prius gets 50 MPG (city and highway mileage combined). Do these data provide strong evidence against this estimate for drivers who participate on fueleconomy.gov? The test statistic is: __________________(please round to two decimal places)The p-value:___________________________ for this hypothesis test is: (please round to four decimal places)(c) Please comment on the primary thing that is wrong about the following statement: There is sufficient evidence…A study reported that finger rings increase the growth of bacteria on health-care workers’ hands. Research suggests that 31 percent of health-care workers who wear rings have bacteria on one or both hands. Suppose that independent random samples of 100 health-care workers wearing rings is selected. What is the standard deviation of the sampling distribution of the sample proportions of health-care workers having bacteria on one or both hands? A. 100 B. 0.0462 C. 0.69Dr. Graham is interested in determining if middle-aged adults use text messaging more or less frequently than the general population. Dr. Graham collects information on text messaging from a random sample of 50 adults ages 25 to 44. Dr. Graham finds that these individuals send or receive an average of 68 text messages per day. Using the population mean (and standard deviation) of 41.5 texts per day (34 texts per day), determine whether adults in this age group use text messaging more than the general public.
- Fear of heights - A psychologist has developed a new treatment for acrophobia (the extreme fear of heights) and wants to compare the results of this new treatment to the results of the standard treatment. A study is conducted where a random sample of 16 patients undergo the new treatment and their improvement scores on a diagnostic test are compared to a control sample of 13 patients who received the standard treatment. Summary scores for both groups are shown in the table below. Treatment Sample Mean Sample Standard Deviation New 50.9 12 Standard 47.2 11.4 The degrees of freedom for this problem is d f 26.287709. 1. Select the hypotheses that should be used to assess if the new treatment results in higher average improvement scores than the standard treatment. А. Но : И1 = µ2 vs. Ha : H1 # µ2 OB. Ho : µ1 = µ2 vS. Ha : H1 H2 2. Calculate the test statistic. ? V = 3. Calculate the p-value. p-value =Choose the appropriate statistical test. When computing, be sure to round each answer as indicated. A dentist wonders if depression affects ratings of tooth pain. In the general population, using a scale of 1-10 with higher values indicating more pain, the average pain rating for patients with toothaches is 6.8. A sample of 30 patients that show high levels of depression have an average pain rating of 7.1 (variance 0.8). What should the dentist determine? 1. Calculate the estimated standard error. (round to 3 decimals). [st.error] 2. What is thet-obtained? (round to 3 decimals). 3. What is the t-cv? (exact value) 4. What is your conclusion? Only type "Reject" or Retain"Researchers examined the bill color (in hue degree) of male and female zebra finches. Here are the summary statistics from the study. Sex N Mean Standard deviation Males 59 2.91 1.46 Females 60 7.42 2.48 How different are male and female zebra finches in bill color? The margin of error for a 95% confidence interval for the difference in mean bill color μF – μM (in hue degree) is
- Nutrition Iron-deficiency anemia is an important nutritional health problem in the United States. A dietary assessment was performed on 53 boys 9 to 11 years of age whose families were below the poverty level. The mean daily iron intake among these boys was found to be 12.60 mg with standard deviation 4.73 mg. Suppose the mean daily iron intake among a large population of 9- to 11-year-old boys from all income strata is 14.48 mg. We want to test whether the mean iron intake among the low-income group is different from that of the general population. You can use the Inferential Statistics page and the Distribution Calculators page SALT to answer parts of this question. (a) State the hypotheses (in mg) that we can use to consider this question. (Enter != for + as needed.) Ho: Hi: (b) Carry out the hypothesis test in part (a) using the critical-value method with an a level of 0.05, and summarize your findings. Find the test statistic. (Round your answer to two decimal places.) Find the…Do shoppers at the mall spend less money on average the day after Thanksgiving compared to the day after Christmas? The 58 randomly surveyed shoppers on the day after Thanksgiving spent an average of $126. Their standard deviation was $35. The 58 randomly surveyed shoppers on the day after Christmas spent an average of $111. Their standard deviation was $32. What can be concluded at the a = 0.01 level of significance? Assuming Equal Variances Tor this study, we shoutd use Select an answer a The null and alternative hypotheses-would be HgSelect an-anower Select an answer v Select an answer v (please enter a decimal) H:Setect an answer v Select an answer V Select an answer v (Please enter a decimal b. The test stattstT is a . The test statistic vatue - (please show your answer to 3 decimal ptaces. d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? a f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the conclusion is that ...…Do political science classes require more writing than history classes? The 54 randomly selected political science classes assigned an average of 16.4 pages of essay writing for the course. The standard deviation for these 54 classes was 4.8 pages. The 52 randomly selected history classes assigned an average of 15.8 pages of essay writing for the course. The standard deviation for these 52 classes was 4.6 pages. What can be concluded at the a = 0.10 level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Ho: Select an answer Select an answer Select an answer H1: Select an answer Select an answer Select an answer b. The test statistic ? V = (please show your answer to 3 decimal places.) c. The p-value = d. The p-value is ? Va e. Based on this, we should Select an answer f. Thus, the final conclusion is that ... |(Please show your answer to 4 decimal places.) ] the null hypothesis. O The results are statistically…
- Low-fat or low-carb? Are low-fat diets more effective for weight loss? A sample of 46 subjects went on a low carbohydrate diet for six months. At the end of that time, the sample mean weight loss was 4.6 kilograms with a sample standard deviation of 6.28 kilograms. A second sample of 49 subjects went on a low-fat diet. Their sample mean weight loss was 2.3 kilograms with a standard deviation of 4.66 kilograms. Can you conclude that the mean weight loss differs between the two diets? Let μ1 denote the mean weight lost on the low-carb diet and μ2 denote the mean weight lost on the low-fat diet. Use the =α0.01level and the P-value method. Compute the test statistic. Round the answer to three decimal places. t =13.34 Women's heights. The heights of adult women are approximately Normal with mean 69.2 inches and standard deviation 2.5 inches. How tall are the tallest 10% of women? (Use the closest percentile that appears in Table B.)Do political science classes require more writing than history classes? The 40 randomly selected political science classes assigned an average of 13.1 pages of essay writing for the course. The standard deviation for these 40 classes was 3.9 pages. The 53 randomly selected history classes assigned an average of 10.8 pages of essay writing for the course. The standard deviation for these 53 classes was 5.6 pages. What can be concluded at the a = 0.05 level of significance? For this study, we should use Select an answer ↑ a. The null and alternative hypotheses would be: Ho: Select an answer Select an answer Select an answer H₁: Select an answer Select an answer Select an answer b. The test statistic ? (please show your answer to 3 decimal places.) c. The p-value = (Please show your answer to 4 decimal places.) d. The p-value is ? a e. Based on this, we should Select an answer the null hypothesis. f. Thus, the final conclusion is that …..
