Two Sample Means
A very recent study from Cele, et al. (2021) on SARS-CoV-2 (the virus that causes Covid-19) is available on medRxiv as a preprint. It analyzes the ability of the Pfizer-BioNTech vaccine to neutralize the Omicron variant in comparison to the ancestral strain (the original identified in Wuhan in 2019). In the study, they looked at five blood samples from donors that had the two Pfizer shots in addition to a Covid-19 infection. They analyzed these samples to find the geometric
10. What type of study is this?
a. Paired
b. Two-Sample Independent
11. We would like to test if there is a mean difference between the type of variant. What would be the null and alternative hypotheses?
a. H0: muD = 0
Ha: muD < 0
b. H0: muD = 0
Ha: muD not equal to 0
c. H0: mu1 - mu2 = 0
Ha: μ1 - μ2 > 0
d. H0: mu1 - mu2 = 0
Ha: mu1 - mu2 < 0
e. H0: mu1 - mu2 = 0
Ha: mu1 - mu2 not equal to 0
12. Find the test statistic. (report to 2 decimal places)
2.05
13. If the p-value is found to be 0.110, is there evidence at the 5% significance level that there is a mean difference?
NO
Trending nowThis is a popular solution!
Step by stepSolved in 6 steps with 5 images
- The Paleo diet allows only for foods that humans typically consumed over the last 2.5 million years, excluding those agriculture-type foods that arose during the last 10,000 years or so. Researchers randomly divided 500 volunteers into two equal-sized groups. One group spent 6 months on the Paleo diet. The other group received a pamphlet about controlling portion sizes. Randomized treatment assignment was performed, and at the beginning of the study, the average difference in weights between the two groups was about 0 pounds. After the study, the Paleo group had lost an average of 7.6 pounds with a standard deviation of 20.75 pounds while the control group had lost an average of 5.8 pounds with a standard deviation of 12.5 pounds. What is the P value?arrow_forwardNonearrow_forwardA study of patients with SARS-CoV2 where we measure their daily oxygen levels with no researcher intervention is called a (Fill in the blank) study. (i) experimental (ii) conditional (iii) observational (iv) voluntaryarrow_forward
- An experiment to test the effectiveness of regular treatments with fluoride varnish to reduce tooth decay involved 36 volunteers who had half of their teeth (the right side or left side, determined by a coin flip) painted with a fluoride varnish every six month for 5 years. At the end of the treatments, the number of new cavities during the treatment period was compared on treatment (fluoride varnish) side versus the control (no fluoride varnish) side. The appropriate statistical test for analyzing the results of this experiment is O Two samplet test for a difference in means O Two sample z test for a difference in proportions O One sample z test for a population mean O Paired t test for a mean difference O One sample z test for a population proportionarrow_forwardFrom the Behavioral Risk Factor Surveillance System in 2019, the prevalence of self- reported obesity among Michigan adult residents was 35.0%. Moreover, national reports from American Heart Association and Mayo Clinic state that people are more inactive than they used to because of the COVID-19 preventive measures. With this, you are hypothesizing that this year, the proportion of people categorized as obese is higher than before. To verify this, a random sample of 245 individuals were randomly selected from the different counties. Out of the sample, 98 of them were classified as obese. Using 10% level of significance, perform a test of significance.arrow_forwardA recent report states that 55% of U.S. adults use Netflix to stream shows and movies. An advertising company believes the proportion of California residents who use Netflix is greater than the national proportion, because Netflix headquarters is located in Los Gatos, California. The company selects a random sample of 600 adults from California and finds that 360 of them use Netflix. Is there convincing evidence at the alpha = .05 level that more than 55% of California residents use Netflix?arrow_forward
- Noting the paucity of information on the effect of estrogen on platelet membrane fatty acid composition, Ranganath et al. (A-48) conducted a study to examine the possibility that changes may be present in postmenopausal women and that these may be reversible with estrogen treatment. The 31 women recruited for the study had not menstruated for at least 3 months or had symptoms of the menopause. No woman was on any form of hormone replacement therapy (HRT) at the time she was recruited. Table 5 shows the platelet membrane linoleic acid values before and after a period of HRT. What is the t critical value? 4 decimal placesarrow_forwardThree different washing solutions are being compared to study their effectiveness in retarding bacteria growth in five-gallon milk containers. The analysis is done in a laboratory, and only three trials can be run on any day. Because days could represent a potential source of variability, the experimenter decides to use a randomized block design. Observations are taken for four days, and the data are shown here. Analyze the data from this experiment (use a = 0.05) and draw conclusions Days Solution 1 2 3 4 1 13 22 18 39 2 16 24 17 44 3 5 4 1 22arrow_forwardAn article predicts that "spit," spam that is delivered via internet phone lines and cell phones, will be a growing problem as more people turn to web-based phone services. In a poll of 5500 cell phone users, 28% indicated that they had received commercial messages and ads on their cell phones. In USE SALT Is there sufficient evidence that the proportion of cell phone users who have received commercial messages or ads in 2004 was greater than the proportion of 0.13 reported for the previous year? (Use a = 0.05. Round your test statistic to two decimal places and your P- value to four decimal places.) z = P = There is --Select--- v evidence to suggest that the proportion cell phone users who have received commercial messages or ads in 2004 is greater than the proportion of 0.13 reported for the previous year.arrow_forward
- Based on advancements in drug therapy, a pharmaceutical company is developing Resithan, a new treatment for depression. A medical researcher for the company is studying the effectiveness of Resithan as compared to their existing drug, Exemor. A random sample of 461 depressed individuals is selected and treated with Resithan, and 172 find relief from their depression. A random sample of 419 depressed individuals is independently selected from the first sample and treated with Exemor, and 121 find relief from their depression. Based on the medical researcher's study can we conclude, at the 0.01 level of significance, that the proportion p1 of all depressed individuals taking Resithan who find relief from depression is greater than the proportion p2 of all depressed individuals taking Exemor who find relief from depression? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as…arrow_forwardFrom the Behavioral Risk Factor Surveillance System in 2019, the prevalence of self- reported obesity among Michigan adult residents was 35.0%. Moreover, national reports from American Heart Association and Mayo Clinic state that people are more inactive than they used to because of the COVID-19 preventive measures. With this, you are hypothesizing that this year, the proportion of people categorized as obese is higher than before. To verify this, a random sample of 245 individuals were randomly selected from the different counties. Out of the sample, 98 of them were classified as obese. Using 10% level of significance, perform a test of significance.arrow_forwardA large randomized trial was conducted to assess the efficacy of Chantix for smoking cessation compared with bupropion (more commonly known as Wellbutrin or Zyban) and a placebo. Chantix is different from most other quit‑smoking products in that it targets nicotine receptors in the brain, attaches to them, and blocks nicotine from reaching them, while bupropion is an antidepressant often used to help people stop smoking. Generally healthy smokers who smoked at least 1010 cigarettes per day were assigned at random to take Chantix ( ?=352n=352 ), bupropion ( ?=329n=329 ), or a placebo ( ?=344n=344 ). The response measure is continuous cessation from smoking for Weeks 99 through 1212 of the study. A two‑way table of the results is given. Treatment Chantix Bupropion Placebo No smoke in weeks 9-12 155 97 61 Smokes in weeks 9-12 197 232…arrow_forward
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
- Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman