8 QUESTION 8"In order to test whether reaction times increase with age, a researcher has a group of participants perform a lexical decision task once when they're 25 and twentyyears later when they're 45. Which of the following hypothesis tests would be most appropriate given this scenario?"O single-sample t-testO independent sample t-testO dependent sample t-testO z-testQUESTION 9Which of the following is NOT an assumption underlying the independent-measures t formula for hypothesis testing.O The observations within each sample must be independent.O The two populations from which the samples are selected must be normal.O The two samples must have equal sample sizes.O The two populations from which the samples are selected must have equal variances.QUESTION 10The most common way for an independent sample t-test to be reported in a research article isO t(i:29) <.05O "independent t(15): 30, p: significant"O "t(independent) = 2.9, significant"O "((45) = 3.5, p < .05"

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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QUESTION 2 According to the Driver and Vehicle Licensing Authority (DVLA) in 2019, 81% of the commercial drivers interviewed indicated that they have talked on their cell phones while driving. The survey conducted included drivers aged 16 to 61 years selected from 48 lorry stations in Ghana. Assume that this result holds true for the 2019 population of all such drivers in Ghana. In a recent random sample of 1600 drivers aged 16 to 61 years selected from Ghana, 83% said that they have talked on their cell phones while driving. Find the p-value to test the hypothesis that the current percentage of such drivers who have talked on their cell phones while driving is different from 81%. What is your conclusion if the significance level is 5%?
Question 02 There is a claim that drink driving has been very common in high ways. The Highway Police randomly caught 300 drivers for breath alcohol test and found that 14% of drivers have breath alcohol over the legal limit. At 4% level of significance, use the p-value approach to test the hypothesis that the percentage of drivers who are drink driving is more than 10%.
The researcher is concerned that older persons may not be knowledgeable of the COFLU-20. As such, he is interested in investigating the association between the age of the respondents and their knowledge level. Table 2 below shows the knowledge level of respondents, by age group. Table 2 (image included) Conduct a test, at the 5% level of significance, to determine whether the data provided sufficient evidence to conclude that an association exists between age group and knowledge level. State the hypotheses to be tested: H0: H1: state the degrees of freedom for this test the p-value for this test, given that the chi-square test statistic, c2, is 11.029. state the conclusion for the test. Give reason for your answer.
Researchers have noted a decline in cognitive functioning as people age (Bartus, 1990). However, the results from other research suggest that the antioxidant in foods such as blueberries can reduce and even reverse those age-related declines, at least in laboratory rats (Joseph,et al.,1999). Based on these results, one might theorize that the same antioxidants might benefit elderly humans. Suppose a researcher is interested in testing this theory. The researcher obtains a sample of n = 16 adults who are older than 65, and gives and gives each participant a daily dose of blueberry supplement that is very high in antioxidants. After taking the supplement for 6 months, the participants are given a standardized cognitive skills test and produce a mean score of M = 50.2. For the general population of elderly adults scores on the test average μ =45 and form a normal distribution with a σ = 9. Can the researchers conclude that the supplement significantly increases cognitive skills? Use a…
Researchers have noted a decline in cognitive functioning as people age (Bartus, 1990). However, the results from other research suggest that the antioxidant in foods such as blueberries can reduce and even reverse those age-related declines, at least in laboratory rats (Joseph,et al.,1999). Based on these results, one might theorize that the same antioxidants might benefit elderly humans. Suppose a researcher is interested in testing this theory. The researcher obtains a sample of n = 16 adults who are older than 65, and gives and gives each participant a daily dose of blueberry supplement that is very high in antioxidants. After taking the supplement for 6 months, the participants are given a standardized cognitive skills test and produce a mean score of M = 50.2. For the general population of elderly adults scores on the test average μ =45 and form a normal distribution with a σ = 9. Can the researchers conclude that the supplement significantly increases cognitive skills? Use a…
Question 2: If all information remains the same as previous question (i.e., Question 1), except the researcher intended to test the hypothesis at a 1% significant level. What (i.e., H0; H1; ; one tail or two tail; Critical z; obtained z; reject or fail to reject) will be different? If all other information remains the same as previous question (i.e., Question 1), except the researcher’s hypothesis is “The average IQ of students from statistics courses on average is different from IQ score than the population IQ score." What (i.e., H0; H1; ; one tail or two tail; Critical z; obtained z; reject or fail to reject) will be different?
18. Researchers have noted a decline in cognitive functioning as people age (Bartus, 1990). However, the results from other research suggest that the antioxidants in foods such as blueberries can reduce and even reverse these age-related declines, at least in laboratory rats (Joseph et al., 1999). Based on these results, one might theorize that the same antioxidants might also benefit elderly humans. Suppose a researcher is interested in testing this theory. The researcher obtains a sample of n = 16 adults who are older than 65, and gives each participant a daily dose of a blueberry supplement that is very high in antioxidants. After taking the supplement for 6 months, the participants are given a standardized cognitive skills test and produce a mean score of M = 50.2. For the general population of elderly adults, scores on the test average μ = 45 and form a normal distribution with σ = 9. a. Can the researcher conclude that the supplement has a significant effect on cognitive skill?…
4. 15 healthy adult subjects were asked to walk on a treadmill while connected to monitors. One of two kinds of disturbances was applied during the walk, and the number of steps until adaptation was recorded. Each subject experienced both kinds of disturbance, in random order and the researchers computed the difference between the two disturbances and were interested if the mean effect of the first disturbance was greater than the mean effect of the second. c. Based on the P-value, what conclusion can be drawn at a 5% significancelevel?
17. hw 8 In a program designed to help patients stop smoking, 182 patients were given sustained care, and 82.2% of them were no longer smoking after one month. Use a 0.10 significance level to test the claim that 80% of patients stop smoking when given sustained care. Identify the null and alternative hypotheses for this test. Identify the test statistic for this hyothesis test is __________ The P-value for this hypothesis test is________
A diabetic nurse seeks to assess the prevalence of type 2 diabetes among women in a population (age 18 to 80 years). She conveniently sampled 100 women attending antenatal care and asked them whether they had hypertension. Of the 100 pregnant women sampled, 50 consented to take part in the study and 1 had diabetes. Based on this finding, the nurse concluded that “the prevalence of diabetes among women in the population is low (2%).” A) Do you agree with the conclusion made by the diabetic nurse? Justify in not more than 100 words? B) Would you have conducted such a study differently if you had all the resources at hand (Describe in not more than 75 words).
The value of the Z-score in a hypothesis test is influenced by a variety of factors. Assuming thatall other variables are held constant, explain how the value of z is influenced (goes up or down) by each of the following:a. An increase in the difference between the sample mean and population mean b. An increase in the population variabilityc. An increase in the sample size
The average drying time of a manufacturer’s paint is 20 minutes. Investigating the effectiveness of a modifica-tion in the chemical composition of her paint, the manu-facturer wants to test the null hypothesis μ = 20 minutes against a suitable alternative, where μ is the average dry-ing time of the modified paint. (a) What alternative hypothesis should the manufactureruse if she does not want to make the modification in thechemical composition of the paint unless it decreases thedrying time?(b) What alternative hypothesis should the manufactureruse if the new process is actually cheaper and she wants tomake the modification unless it increases the drying timeof the paint?

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