A group of researchers have developed a device which can automatically monitor bo perature and can track location of the subject. From the data that they have gathered wn on the table below, they would like to check if the temperature monitoring system of ice is functioning well by comparing it to a commercialized digital thermometer. DEVICE DIGITAL THERMOMETER (in degree Celsius) (in degree Celsius) 36.1 36.05 36 3 36 1
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- A researcher evaluates a new cholesterol medication by measuring cholesterol levels for a group of patients before they begin taking the medication and after they have been taking the medication for 8 weeks. A second researcher measures quality of life for a group of 40-year-old men who have been married for at least 5 years and a group of 40-year-old men who are still single. Explain why the first researcher is probably not concerned about the validity of the measurement, whereas the second researcher probably is. (Hint: What variable is each researcher measuring and how will it be measured?)An analysis was conducted by the Statistics Consulting Center atVirginia Polytechnic Institute and State University in which acertain treatment was applied to a set of tree stumps. The chemicalGarlon was used the with the purpose of regenerating the roots ofthe stumps. A spray was used with four levels of GarlonPage 23 of 23concentration. After a period of time the height of the shoots wasobserved. Does the concentration of Garlon has a significantimpact on the height of the shoots? Use α = 0.05.The Us food and Drug administration has a limit for mercury content in fish of 1.0ppm (parts per million) while in Canada the limit is 0.5 ppm. Using the variable average mercury in the Florida lakes dataset to test whether there is evidence that average mercury level of fish ( large mouth Bass) in Florida lakes is less than 1.0ppm and whether there is evidence that average mercury level of fish in Florida lakes is less than 0.5ppm. STATE THE NULL AND ALTERNATIVE HYPOTHESES? GIVE THE TEST STATISTICS AND P-VALUE? round the test statistic to two decimal places and the p-value to three decimal places. DOES THIS SAMPLE PROVIDE EVIDENCE THAT THE AVERAGE MERCURY LEVEL OF FISH (LARGE MOUTH BASS) IN FLORIDA LAKES IS LESS THAN 1.0PPM? LESS THAN 0.5 PPM : STATE THE NULL AND ALTERNATIVE HYPOTHESES. GIVE THE TEST STATISTICS AND P-VALUE ? round the test statistic to two decimal places and the p-value to three decimal places. DOES THIS SAMPLE PROVIDE EVIDENCE THAT THE AVERAGE MERCURY…
- Many small restaurants in Portland, Oregon, and other cities across the United States do not take reservations. Owners say that with smaller capacity, no-shows are costly, and they would rather have their staff focused on customer service rather than maintaining a reservation system. However, it is important to be able to give reasonable estimates of waiting time when customers arrive and put their names on the waiting list. The file RestaurantLine contains 10 observations of number of people in line ahead of a customer (independent variable x) and actual waiting time (dependent variable y). The estimated regression equation is: ŷ=7.82+8.84x and MSE=113.9197. Point estimate for customers with 3 people on the waitlist is 34.3 minutes. b. Develop a 95% confidence interval for the mean waiting time for a customer who arrives with three customers already in line (to 2 decimals). c. Develop a 95% prediction interval for Roger and Sherry Davy's waiting time if there are three customers in…It is believed that the mean number of chronic conditions amongst the elderly is 1.75. A physician randomly samples 150 elderly individuals and computes a sample mean of 1.62 Which value is the parameter and which the statistic? A second physician also samples 150 elderly individuals and will compute the sample mean number of chronic conditions? Do you think they will get the same result?Many small restaurants in Portland, Oregon, and other cities across the United States do not take reservations. Owners say that with smaller capacity, no-shows are costly, and they would rather have their staff focused on customer service rather than maintaining a reservation system. However, it is important to be able to give reasonable estimates of waiting time when customers arrive and put their name on the waiting list. The file RestaurantLine contains 10 observations of number of people in line ahead of a customer (independent variable x) and actual waiting time (dependent variable y). The estimated regression equation is: ŷ=4.35+8.81x and MSE=94.4236. Point Estimate for customers who arrive with 3 people on the wait list is 30.8 minutes. a. Develop a 95% confidence interval for the mean waiting time for a customer who arrives with three customers already in line (to 2 decimals). b. Develop a 95% prediction interval for Roger and Sherry Davy's waiting time if there are three…
- Many small restaurants in Portland, Oregon, and other cities across the United States do not take reservations. Owners say that with smaller capacity, no-shows are costly, and they would rather have their staff focused on customer service rather than maintaining a reservation system.† However, it is important to be able to give reasonable estimates of waiting time when customers arrive and put their name on the waiting list. The file RestaurantLine contains 10 observations of number of people in line ahead of a customer (independent variable x) and actual waiting time (in minutes) (dependent variable y). The estimated regression equation is: ŷ = 4.35 + 8.81x and MSE = 94.42. (a) Develop a point estimate (in min) for a customer who arrives with seven people on the wait-list. (Round your answer to two decimal places.) ŷ* = _____min (b) Develop a 95% confidence interval for the mean waiting time (in min) for a customer who arrives with seven customers already in line. (Round…A group of 10-year-old boys were first ascertained in a camp for diabetic boys. They had their weight measured at baseline and again when they returned to camp 1 year later. Each time, a serum sample was obtained from which a determination of hemoglobin A1c (HgbA1c) was made. HgbA1c (also called glycosylated hemoglobin) is routinely used to monitor compliance with taking insulin injections. Usually, the poorer the compliance, the higher the HgbA1c level will be. The hypothesis is that the level HgbA1c is related to weight. The data in Table 11.28 were obtained. 11.92 What test can be performed to assess the relationship between weight and HgbA1c at the initial visit? 11.93 Please perform the test in Problem 11.92, and report a two-tailed p-value. 11.94 Do the results in Problem 11.93 imply a relationship between change in HgbA1c and change in weight for an individual boy? Why or why not?A group of 10-year-old boys were first ascertained in a camp for diabetic boys. They had their weight measured at baseline and again when they returned to camp 1 year later. Each time, a serum sample was obtained from which a determination of hemoglobin A1c (HgbA1c) was made. HgbA1c (also called glycosylated hemoglobin) is routinely used to monitor compliance with taking insulin injections. Usually, the poorer the compliance, the higher the HgbA1c level will be. The hypothesis is that the level HgbA1c is related to weight. The data in Table 11.28 were obtained. 11.95 Compute a rank correlation between change in weight and change in HgbA1c, each over 1 year. Use this measure to directly test the hypothesis that change in weight over 1 year is related to change in HgbA1c. Report a two-tailed p-value, and provide a 95% confidence interval for the underlying rank correlation.
- A group of 10-year-old boys were first ascertained in a camp for diabetic boys. They had their weight measured at baseline and again when they returned to camp 1 year later. Each time, a serum sample was obtained from which a determination of hemoglobin A1c (HgbA1c) was made. HgbA1c (also called glycosylated hemoglobin) is routinely used to monitor compliance with taking insulin injections. Usually, the poorer the compliance, the higher the HgbA1c level will be. The hypothesis is that the level HgbA1c is related to weight. The data in Table 11.28 were obtained.11.92 What test can be performed to assess the relationship between weight and HgbA1c at the initial visit?11.93 Please perform the test in Problem 11.92, and report a two-tailed p-value.11.94 Do the results in Problem 11.93 imply a relationship between change in HgbA1c and change in weight for an individual boy? Why or why not?11.95 Compute a rank correlation between change in weight and change in HgbA1c, each over 1 year. Use…A group of 10-year-old boys were first ascertained in a camp for diabetic boys. They had their weight measured at baseline and again when they returned to camp 1 year later. Each time, a serum sample was obtained from which a determination of hemoglobin A1c (HgbA1c) was made. HgbA1c (also called glycosylated hemoglobin) is routinely used to monitor compliance with taking insulin injections. Usually, the poorer the compliance, the higher the HgbA1c level will be. The hypothesis is that the level HgbA1c is related to weight. The data in Table 11.28 were obtained.11.94 Do the results in Problem 11.93 imply a relationship between change in HgbA1c and change in weight for an individual boy? Why or why not?11.95 Compute a rank correlation between change in weight and change in HgbA1c, each over 1 year. Use this measure to directly test the hypothesis that change in weight over 1 year is related to change in HgbA1c. Report a two-tailed p-value, and provide a 95% confidence interval for the…Several years ago, researchers conducted a study to determine whether the "accepted" value for normal body temperature, 98.6oF, is accurate. They used an oral thermometer to measure the temperatures of a random sample of healthy men and women aged 18 to 40. As is often the case, the researchers did not provide their original data. Allen Shoemaker, from Calvin College, produced a data set with the same properties as the original temperature readings. His data set consists of one oral temperature reading for each of the 130 randomly chosen, healthy 18- to 40-year-olds. A dot plot of Shoemaker's temperature data is shown below. A vertical line at 98.6oF was added for reference. Exploratory data analysis revealed several interesting facts about this data set: The mean temperature was x ¯ = 98.25 o F The standard deviation of the temperature reading was s x = 0.73 o F 62.3% of the temperature readings were less than 98.6oF. If "normal" body temperature really is 98.6oF, we would expect…