**Exhibit 10-19**Two major automobile manufacturers have produced compact cars with the same size engines. We are interested in determining whether or not there is a significant difference in the MPG (miles per gallon) of the two brands of automobiles. A random sample of eight cars from each manufacturer is selected, and eight drivers are selected to drive each automobile for a specified distance. The following data show the results of the test.| Driver | Manufacturer A | Manufacturer B ||--------|----------------|----------------|| 1 | 32 | 28 || 2 | 27 | 22 || 3 | 26 | 27 || 4 | 26 | 24 || 5 | 25 | 24 || 6 | 29 | 25 || 7 | 31 | 28 || 8 | 25 | 27 |Refer to Exhibit 10-19. What procedure in Excel would we use to conduct a hypothesis test?- ☐ Anova: Single Factor- ☐ t-Test: Paired Two Sample for Means- ☐ z-Test: Two Sample for Means- ☐ t-Test: Two Sample Assuming Unequal Variances**Explanation of the Procedure:**This scenario involves comparing the means of two independent samples (Manufacturer A and Manufacturer B) to see if there is a significant difference between them regarding fuel efficiency.When choosing a statistical test:- If the variances of the two samples are assumed unequal, a "t-Test: Two Sample Assuming Unequal Variances" is appropriate.- If the samples are paired (e.g., the same vehicle tested under different conditions), a paired t-test would be appropriate, but this does not apply here since the samples are independent.Thus, for this analysis, you would likely select the option to conduct a "t-Test: Two Sample Assuming Unequal Variances" to account for any potential differences in sample variance.

Hypothesis : A statement about the parameters of the probability distribution. t-Test is used when…

Answered: Exhibit 10-19 Two major automobile…

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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You have been hired to measure the concentration of ammonia in water from wells at two districts on Long Island. After sampling 10 wells in one of the districts you find the values are, in mg/L: 6.4, 2.1, 1.4, 0.7, 6.8, 3.2, 2.7, 1.6, 4.9, 1.2. Your assistant plots the data from the second set of wells and the histogram of data from that sample looks pretty much the same as for your data set. Which statistical test do you anticipate that you will use? An one-sample t-test An unpaired, two-sample t-test A paired, two-sample t-test A one-way anova A Mann-Whitney U test Main Content
In Major League baseball, the speed of a pitch is very important. How fast is the speed of a major league pitchers average pitch? A researcher took a random sample of the speed of 16 pitches from the 2019 Major League baseball season. The following are the speeds of these pitches in miles per hour: 92.8, 87.0, 89.1, 96.2, 75.6, 89.6, 92.5, 83.3, 86.5, 95.6, 94.1, 91.6, 94.2, 93.4, 90.0 It is reasonable to treat these measurements as coming from a normal distribution with unknown mean μ and unknown standard deviation σ d) Find the sample standard deviation of the above data e) Find the sample median of the above data. f)Create a 90% confidence interval for μ. ( , )
A researcher conducts a study to investigate whether the obesity rate rural communities differ from the obesity rate from the population at large. He gathered a sample of adults from a small community, measured their weight, and compared it to the population average. What statistical test is appropriate for this study and why?
The owner of a new car conducts a series of six gas mileage tests and obtains the following results, expressed in miles per gallon: 3., 22.7, 21.4, 20.6, and 21.4. 20.9. Find the mode for these data.
A local authority is going to study the relationship between the size of household and the daily plastic usage consumed by them. The results of a sampling given below in Table 5 indicate some values of X (weight of plastic usage) and Y (the size of household). Table 5: Weight of plastic usage (X) and size of household (Y) X 0.27 1.41 2.19 | 2.83 2.19 1.81 0.85 3.05 Y 2 3 3 4 2 1 5 i) From the above sampling, find the value of correlation coefficient r. ii) Using the same sample data set above, conduct the hypothesis testing to know whether the variable X and Y are really correlates using 95% confidence level. iii) Find out if the decision in (ii) may change if you increase the confidence level to 99%.
Q2 Fifteen adults of males between age of 35 and 50 participated in a study to evaluate the effect of diet and exercise on blood cholesterol level. The total cholesterol was measure in each subject initially and then three month after participating in aerobic exercise program and switching to low fight diet. The data are shown in the table below: Before 256 240 258 295 251 205 238 247 225 294 238 229 After 229 231 227 234 218 218 230 243 221 240 219 211 a. Do the data support the claim that low fat diet and aerobic exercises are of value in producing a mean reduction in blood cholesterol level at 5 % level of significance? (show all steps of hypothesis testing) b. Construct a one sided confidence interval that can be used to answer the question in part a. Check the results obtained in part a using R-Studio. Write your conclusion based on the p-value obtained in R studio. C.
A college administrator wants to know if there is a significant difference between sexual orientation and level of family support for students at their college. The administrator takes a random sample of students who identify as gay/lesbian, bisexual or heterosexual/straight. There were 22 students sampled in each category. A measure of family support is given with higher scores indicating more family support. The means are as follows: Gay/lesbian Bisexual Heterosexual/Straight MG/L = 16 MBi = 17 MH/S = 22 Source SS df MS F Orientation 300 Error 2961 Total What is the value of df total?
Identifying individuals with a high risk of Alzheimer's disease usually involves a long series of cognitive tests. However, researchers have developed a 7-Minute Screen, which is a quick and easy way to accomplish the same goal. The question is whether the 7-Minute Screen is as effective as the complete series of tests. To address this question, Ijuin et al. (2008) administered both tests to a group of patients and compared the results. The following data represent results similar to those obtained in the study. 7-Minute Screen Cognitive Series 3 11 8 19 10 22 8 20 4 14 7 13 4 9 5 20 14 25 Which statistical test would you select: Answer H0: Answer H1: Answer What is the coefficient that indicates the strength of the relationship? Answer =Answer What is the standard error? Answer What is the appropriate 95% CI? [ Answer , Answer ] What is the d-effect size? Answer What is the t-observed? Answer What is the actual p-value? Answer THREE decimal places…
In automobile mileage and gasoline-consumption testing, 13 automobiles were road tested for 300 miles in both city and highway driving conditions. The following data were recorded for miles-per-gallon performance. City: 16.7 17.2 16.4 14.9 13.7 15.8 17.3 16.5 16.6 15.8 15.7 15.8 16.7 Highway: 20.0 21.2 18.9 19.2 19.8 18.0 17.8 19.2 19.6 21.7 20.0 19.1 19.3 Calculate the mean, median, and mode for City and Highway gasoline consumption (to 1 decimal). City Highway Mean Median Mode The data are bimodal: and
A cigarette manufacturer claims that his cigarettes have nicotine content that does not exceed 2.0 milligrams. If a random sample of 10 cigarettes of this type have nicotine contents of 2.0, 2.3 1.7, 2.2, 1.9, 2.2, 2.0, 2.5, 2.1 and 1.9 milligrams, would you agree with the manufacturer's claim? a = 0.05. What is the correct set of hypotheses to test this claim? (Α) H0: μ 2.0 Β) H0:μ2.0; H1: μ # 2.0 c) HO:µ > 2.0; H1: µ 2.0
A sample of 1000 observations taken from population-1 gave x, =290 . Another sample of size 1200 taken from population-2 yielded x,=396. Find the sample pooled proportion. A. 0.6882 B. 0.2146 C. 0.3118 D. 0.0957
In a study conducted in Italy, 10 patients with hypertriglyceridemia were placed on a low-fat, high-carbohydrate diet. Before the start of the diet, cholesterol and triglyceride measurements were recorded for each subject. Patient Cholesterol Level (mmol/l) Triglyceride level (mmol/l) 1 5.12 2.30 2 6.18 2.54 3 6.77 2.95 4 6.65 3.77 5 6.36 4.18 6 5.90 5.31 7 5.48 5.53 8 6.02 8.83 9 10.34 9.48 10 8.51 14.20 a. Construct a two-way scatter plot for these data. b. Use STATA to calculate Pearson’s Correlation Coefficient for these data. c. Test, α = 0.05, whether or not the population correlation, ρ, equals 0.

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