Introduction To Statistics And Data Analysis
6th Edition
ISBN: 9781337793612
Author: PECK, Roxy.
Publisher: Cengage Learning,
expand_more
expand_more
format_list_bulleted
Videos
Question
Chapter 16.2, Problem 15E
To determine
Test whether the mean cholesterol synthesis rate differs significantly for the two sources of carbohydrates.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
The article "Effect of Refrigeration on the Potassium Bitartrate Stability and Composition
of Italian Wines" (A. Versari, D. Barbanti, et al., Italian Journal of Food Science, 2002:45-
52) reports a study in which eight types of white wine had their tartaric acid concentration
(in g/L) measured both before and after a cold stabilization process. The results are
presented in the following table:
Wine Type
Before
After
Difference
2.86
2.59
0.27
2.85
2.47
0.38
3
1.84
1.58
0.26
4
1.60
1.56
0.04
0.80
0.78
0.02
6.
0.89
0.66
0.23
2.03
1.87
0.16
1.90
1.71
0.19
Find a 95% confidence interval for the mean difference between the tartaric acid
concentrations before and after the cold stabilization process.
The Lion’sMane. In a study by P. M.West titled “The Lion’s Mane” (American Scientist, Vol. 93, No. 3, pp. 226–236), the effects of the mane of a male lion as a signal of quality to mates and rivals was explored. Four life-sized dummies of male lions provided a tool for testing female response to the unfamiliar lions whose manes varied by length (long or short) and color (blonde or dark). The female lions were observed to see whether they approached each of the four life-sized dummies.
a. experimental units.
b. response variable.
c. factor(s).
d. levels of each factor.
e. treatments.
Suppose a study investigated the effects of vitamin A, vitamin C, and omega-3 fatty
acids supplements on improving eye health and vision. 300 adults volunteered to take
part in the study. In the study, participants were randomly assigned to one of 3
different levels of Vitamin A (Level A, Level B, or Level C) and randomly assigned to one
of 2 different levels of Vitamin C (Level 1 or Level 2) and randomly assigned to one of 2
different levels of omega-3 fatty acid (Level I or Level II).
a. Identify the subjects of the study.
b. Identify the factor(s) for the study and the number of treatment level(s) for each
factor.
c. How many different treatment groups are there in this study?
Chapter 16 Solutions
Introduction To Statistics And Data Analysis
Ch. 16.1 - Urinary fluoride concentration (in parts per...Ch. 16.1 - Prob. 2ECh. 16.1 - Prob. 3ECh. 16.1 - A blood lead level of 70 mg/ml has been commonly...Ch. 16.1 - The effectiveness of antidepressants in treating...Ch. 16.1 - Prob. 6ECh. 16.1 - Prob. 7ECh. 16.2 - The effect of a restricted diet in the treatment...Ch. 16.2 - Peak force (N) on the hand was measured just prior...Ch. 16.2 - In an experiment to study the way in which...
Ch. 16.2 - Prob. 11ECh. 16.2 - Prob. 12ECh. 16.2 - Prob. 13ECh. 16.2 - Prob. 14ECh. 16.2 - Prob. 15ECh. 16.2 - Prob. 16ECh. 16.2 - Prob. 17ECh. 16.2 - The signed-rank test can be adapted for use in...Ch. 16.3 - Prob. 19ECh. 16.3 - Prob. 20ECh. 16.3 - The given data on phosphorus concentration in...Ch. 16.3 - Prob. 22ECh. 16.3 - Prob. 23ECh. 16.3 - The following data on amount of food consumed (g)...Ch. 16.3 - The article Effect of Storage Temperature on the...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- One variety of corn is genetically modified to produce chemicals for defense against predators. The standard corn contains the same standard genotype, but without genetic modification for the chemicals. The two types of corn are then planted in randomly placed adjacent plots across a single field. The amount of predators that are present when the corn has matured are then recorded. The data that was recorded of the predators present among each type are listed. Has genetic alterations decreased the amount of predators for the altered genotype? Normality tests for the populations of both contain a p value less than 0.05. The given alpha is 0.05 Modified Corn (20, 18, 26, 23, 17, 23, 22) Standard Corn (89, 64, 102, 96, 56, 77, 84, 59) use an F test to determine if the variance between the 2 lists are different. Based on this result, state the correct 2 sample parametric test to be used. State the null and alternative. Show calculations while rounding to two decimal points.What is the…arrow_forwardA deficiency of the trace element selenium in the diet can negatively impact growth, immunity, muscle and neuromuscular function, and fertility. The introduction of selenium supplements to dairy cows is justified when pastures have low selenium levels. Authors of a research paper supplied the following data on milk selenium concentration (mg/L) for a sample of cows given a selenium supplement (the treatment group) and a control sample given no supplement, both initially and after a 9-day period. Initial Measurement Treatment Control 11.4 9.1 9.6 8.7 10.1 9.7 8.5 10.8 10.2 10.9 10.6 10.6 11.9 10.1 9.9 12.3 10.7 8.8 10.2 10.4 10.3 10.9 11.4 10.4 9.3 11.6 10.6 10.9 10.9 8.3 After 9 Days Treatment Control 138.3 9.2 104 8.9 96.4 8.9 89 10.1 88 9.6 103.8 8.6 147.3 10.4 97.1 12.4 172.6 9.2 146.3 9.5 99 8.4 122.3 8.8 103 12.5 117.8 9.1 121.5 93 (a) Use the given data for the treatment group to determine if…arrow_forwardA deficiency of the trace element selenium in the diet can negatively impact growth, immunity, muscle and neuromuscular function, and fertility. The introduction of selenium supplements to dairy cows is justified when pastures have low selenium levels. Authors of a research paper supplied the following data on milk selenium concentration (mg/L) for a sample of cows given a selenium supplement (the treatment group) and a control sample given no supplement, both initially and after a 9-day period. Initial Measurement Treatment Control 11.3 9.1 9.7 8.7 10.1 9.7 8.5 10.8 10.4 10.9 10.7 10.6 11.8 10.1 9.8 12.3 10.6 8.8 10.4 10.4 10.2 10.9 11.3 10.4 9.2 11.6 10.7 10.9 10.8 8.2 After 9 Days Treatment Control 138.3 9.4 104 8.8 96.4 8.8 89 10.1 88 9.7 103.8 8.7 147.3 10.3 97.1 12.3 172.6 9.4 146.3 9.5 99 8.3 122.3 8.9 103 12.5 117.8 9.1 121.5 93 (a) Use the given data for the treatment group to determine if…arrow_forward
- A deficiency of the trace element selenium in the diet can negatively impact growth, immunity, muscle and neuromuscular function, and fertility. The introduction of selenium supplements to dairy cows is justified when pastures have low selenium levels. Authors of a research paper supplied the following data on milk selenium concentration (mg/L) for a sample of cows given a selenium supplement (the treatment group) and a control sample given no supplement, both initially and after a 9-day period. Initial Measurement Treatment Control 11.2 9.1 9.6 8.7 10.1 9.7 8.5 10.8 10.3 10.9 10.6 10.6 11.7 10.1 9.7 12.3 10.8 8.8 10.3 10.4 10.4 10.9 11.2 10.4 9.4 11.6 10.6 10.9 10.7 8.4 After 9 Days Treatment Control 138.3 9.3 104 8.7 96.4 8.7 89 10.1 88 9.6 103.8 8.6 147.3 10.2 97.1 12.2 172.6 9.3 146.3 9.5 99 8.2 122.3 8.9 103 12.5 117.8 9.1 121.5 93 (a) Use the given data for the treatment group to determine if there…arrow_forwardTen adult males between the ages of 30 and 40 participated in a study to evaluate the effect of a specific health regimen involving diet and exercise on the blood cholesterol. Five were randomly selected to be a control group, and five others were assigned to take part in the regimen as the treatment group for a period of 6 months. The following data show the reduction in cholesterol experienced for the time period for the 10 subjects: Control group: 7, 3, -4, 14, 2 Treatment group: -6, 5, 9, 4, 4 Compute the sample mean and standard deviation for Control Group. Select one: O A. 4.4, 44.3 О В. 4.4, 6.66 о С. 3.2, 5.54 O D. 3.2, 30.7arrow_forwardThe article “Effects of Diets with Whole Plant-Origin Proteins Added with Different Ratiosof Taurine:Methionine on the Growth, Macrophage Activity and Antioxidant Capacity ofRainbow Trout (Oncorhynchus mykiss) Fingerlings” (O. Hernandez, L. Hernandez, et al.,Veterinary and Animal Science, 2017:4-9) reports that a sample of 210 juvenile rainbowtrout fed a diet fortified with equal amounts of the amino acids taurine and methionine for aperiod of 70 days had a mean weight gain of 313 percent with a standard deviation of 25, while 210 fish fed with a control diet had a mean weight gain of 233 percent with a standard deviation of 19. Units are percent. Find a 99% confidence interval for the difference in weight gain on the two diets.arrow_forward
- A cohort study is conducted to assess the association between clinical characteristics and the risk of stroke. The study involves n=1,250 participants who are free of stroke at the study start. Each participant is assessed at study start (baseline) and every year thereafter for five years. The following table displays data on hypertensive status measured at baseline and incident stroke over 5 years. Free of Stroke over 5 Years Stroke Baseline: Not Hypertensive 952 46 Baseline: Hypertensive 234 18 Compute the cumulative incidence of stroke in the study.arrow_forwardCaptivity can influence immunological responses in some mammals. Seeber et al. (2020) investigated various aspects of immunological responses in captive and free-ranging zebras. One aspect of the study involved samples of 12 free-ranging zebras from Namibia, 9 from Tanzania, and 38 captive zebras from various zoos in Europe. (All of these were non-lactating females.) One of the measured variables from blood samples was lysozyme concentration (μg/L). (Lysozyme is a biomarker of the immune response.) The researchers were interested in investigating possible differences in lysozyme concentration between zebras in the various locations. As part of the analysis, they carried out a one-way ANOVA on the lysozyme concentrations for the zebras from the 3 locations, and found the following output. Df Sum Sq Mean Sq F value Pr(>F) Location 2 50.65 25.33 42.24 6.54e-12Residuals 56 33.57 0.60 Suppose the assumptions of one-way ANOVA…arrow_forwardCortisol is a hormone that plays an important role in mediating stress. There is a growing awareness that exposure of outdoor workers to pollutants may impact cortisol levels. The article "Plasma Cortisol Concentration and Lifestyle in a Population of Outdoor Workers" (International Journal of Environmental Health Res., 2011: 62-71) reported on a study involving three groups of police officers: 1. Traffic Police (TP) 2. Drivers (D) 3. Other Duties (0) Here is summary data on cortisol concentration (ng/ml) for a subset of the officers who neither drank nor smoked. Group Sample Size Mean SD TP 174.7 50.9 160.2 37.2 153.5 45.9 44 44 44 Assuming that the standard assumptions for one-way ANOVA are satisfied, carry out a test at significance level 0.05 to decide whether the true average cortisol concentration is different for the three groups. If any differences exist, state which groups are different.arrow_forward
- Grey-Seal Nursing. Grey seals are one of several types of earless seals. The length of time that a female grey seal nurses her pup is studied by S. Twiss et al. in the article “Variation in Female Grey Seal (Halichoerus grypus) Reproductive Performance Correlates to Proactive-Reactive Behavioural Types” (PLOS ONE 7(11): e49598. doi:10.1371/journal.pone.0049598). The average lactation (nursing) period of all earless seals is 23 days. A hypothesis test is to be performed to decide whether the mean lactation period of grey seals differs from 23 days. a. determine the null hypothesis. b. determine the alternative hypothesis. c. classify the hypothesis test as two tailed, left tailed, or right tailed.arrow_forwardRecycling newsprint is important in reducing waste. The article "The Influence of Newspaper Aging on Optical Properties of its De-inked Pulp" (M. Rahmaninia, A. Latibari, et al., Turkish J Eng Env Sci, 2008:35-39) presents the results of an experiment to determine the effects of the age of newsprint on the brightness (in percent) of the recycled paper. Four aging periods were considered, along with five concentrations of sodium hydroxide (NaOH), used to de-ink the paper. The effect of the sodium hydroxide concentration is not of interest. The results are presented in the following table. NaOH Concentration Age (Months) 2% 0% 0.5% 1% 1.5% 54.6 54.3 55.5 56.3 56.6 4 45.6 44.1 43.7 45.6 47.1 46.1 45.9 46.4 45.0 47.9 12 44.0 44.1 45.2 43.7 46.5 a. Identify the blocking factor and the treatment factor. b. Construct an ANOVA table. You may give ranges for the P-values. Can you conclude that brightness differs with age? Explain. C. d. Which pairs of ages, if any, can you conclude to have…arrow_forwardIn a study conducted in the Science Department of Faculty of Science, Technology and Human Development in a University; the researcher examined the influence of the drug succinylcholine on the circulation levels of androgens in the blood. Blood samples from wild, free-ranging deer were obtained via the jugular vein immediately after an intramuscular injection of succinylcholine using darts and a capture gun. Deer were bled again approximately 30 minutes after the injection and then released. The level of androgens at time of capture and 30 minutes later, measured in nanograms per milliliter (ng/ml), for 15 deers as in Table Q1. Assuming that the populations of androgen at time of injection and 30 minutes later are normally distributed:i) Find the average and standard deviation of this studyii)Determine the critical region of this problem.iii) Test at the 0.05 level of significance whether the androgen concentrations are altered after 30 minutes of restraint.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,
Calculus For The Life Sciences
Calculus
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:Pearson Addison Wesley,
Hypothesis Testing using Confidence Interval Approach; Author: BUM2413 Applied Statistics UMP;https://www.youtube.com/watch?v=Hq1l3e9pLyY;License: Standard YouTube License, CC-BY
Hypothesis Testing - Difference of Two Means - Student's -Distribution & Normal Distribution; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=UcZwyzwWU7o;License: Standard Youtube License