A study is done to determine which of two soft drinks has more sugar. There are 21 cans ofBeverage A in the researchers' sample and 20 cans of Beverage B. The mean amount of sugar inBeverage A is 27.7 grams per can with a sample standard deviation of 0.6 grams. The mean amountof sugar in Beverage B is 27.2 grams with a standard deviation of 0.3 grams. The researchers believethat Beverage A has more sugar than Beverage B, on average. Both populations are normallydistributed. Conduct a hypothesis test using a 10% level of significance.Step 1: State the null and alternative hypotheses.Ho: MAHB SVOHa: MA – MB > ν ο-(So we will be performing a right-tailedThe differences of sample means are t-distributedand distribution standard deviation 1Question Help: Post to forumtest.)Part 2 of 4Step 2: Assuming the null hypothesis is true, determine the features of the distribution of thedifferences of sample means.Submit Part▼ Part 1 of 4A✔with distribution mean o

From given data we have n1=21 s1=0.6 n2=20 s2=0.3

Answered: ▾ Part 1 of A study is done to…

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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Imagine that every elementary school in California is measured on several characteristics and then given an overall Quality Score. In Los Angeles Unified School District, the schools have an average (mean) quality score of 101.8 with a standard deviation of 7.2. One school in Los Angeles, Carver Elementary, gets a quality score of 104.5. In San Francisco Unified School District, the schools have an average (mean) quality score of 102.3 with a standard deviation of 9.4. One school in San Francisco, Bryant Elementary, gets a quality score of 99.5. Find the Z-scores for both of these two schools (Carver Elementary in Los Angeles, and Bryant Elementary in San Francisco)
A sample of 77 subjects went on a low-carbohydrate diet for six months. At the end of that time, the sample mean weight loss was 4.7 kilograms with a sample standard deviation of 7.16 kilograms. A second sample of 79 subjects went on a low-fat diet. Their sample mean weight loss was 2.6 kilograms with a standard deviation of 5.90 kilograms. Can you conclude that the mean weight loss differs between the two diets? Use a = 0.01. Use the critical value method.
A college administrator wants to see if students in different majors tend to have differing amounts of study time. The administrator collects the following data from 15 students in Sociology, 10 students in Engineering, and 12 students in History. The Sociology majors report an average of 10 hours studies per week and a standard deviation of 3 hours. The Engineering students report an average of 15 hours per week with a standard deviation of 7 hours. The History majors report an average of 12 hours studied and a standard deviation of 4 hours. The data can be summarized as follows: Major n Mean Study Hours Standard deviation Sociology 15 10 hours 3 hours Engineering 10 15 hours 7 hours History 12 12 hours 4 hours Does this data provide evidence for the notion that students in different majors study different amounts? Use α = .05
Forty refrigerators from two different models of a refrigerator manufacturer are compared to see if the smaller model uses less energy than the larger model. The energy was measured in kilowatt hours per month (kwh/mo). From years of testing these models, it is known that the standard deviation of kwh/mo is 34 kwh/mo for the smaller model and 40 kwh/mo for the larger one. From this survey, the sample means and standard deviations are 125 and 34, and 90 and 40, respectively. If we conduct a hypothesis test, the p-value is Group of answer choices 0.0000 0.0010 0.0004 0.0002
A pharmaceutical company needs to know if its new cholesterol drug, Praxor, is effective at lowering cholesterol levels. It believes that people who take Praxor will average a greater decrease in cholesterol level than people taking a placebo. After the experiment is complete, the researchers find that the 44 participants in the treatment group lowered their cholesterol levels by a mean of 20.7 points with a standard deviation of 5.1 points. The 34 participants in the control group lowered their cholesterol levels by a mean of 18.6 points with a standard deviation of 1.3 points. Assume that the population variances are not equal and test the company's claim at the 0.02 level. Let the treatment group be Population 1 and let the control group be Population 2. Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below. TH = It: °H
The combined SAT scores for the students at a local high school are normally distributed with a mean of 1521 and a standard deviation of 301. The local college includes a minimum score of 888.9 in its admission requirements. What percentage of students from this school earn scores that fail to satisfy the admission requirement?
A study is done to determine which of two soft drinks has more sugar. There are 13 cans of Beverage A in a sample and six cans of Beverage B. The mean amount of sugar in the sample for Beverage A is 36 grams with a standard deviation of 0.6 grams. The mean amount of sugar in the sample Beverage B is 38 grams with a standard deviation of 0.8 grams. The researchers believe that Beverage B has more sugar than Beverage A, on average. Both populations have normal distributions. What is the p-value? Round to 4 decimal places.
A Statistics instructor wanted to compare the scores on the same final exam given to students at a local community college and local university. The Statistics instructor feels that students at the community college would be better prepared and have higher exam scores on the final exam. After grading the final exams from both institutions, the Statistics instructor found that for a sample of 36 community college students, the sample had a mean score of 84 with a standard deviation of 3.4. A sample of 45 university students had a mean score 79 with a standard deviation of 2.6. Construct a 95% confidence interval for the difference between population mean exam scores. Round your final results to one decimal place. _____________ ≤ ??? − ????? ≤ ______________
It has been found that with the standard dosage of a drug, the change in people’s uric acid levelis normally distributed with a mean of 240 and a standard deviation of 60. What proportionof people receiving the standard dosage of this drug experience changes in uric acid levelbetween 210 and 270?
Are low-fat diets or low-carb diets more effective for weight loss? A sample of 61 subjects went on a low-carbohydrate diet for six months. At the end of that time, the sample mean weight loss was 2.1 kilograms with a sample standard deviation of 4.71 kilograms. A second sample of 63 subjects went on a low-fat diet. Their sample mean weight loss was 3.7 kilograms with a standard deviation of 5.67 kilograms. Can you conclude that the mean weight loss of subjects having low-carb diets is less than the mean weight loss of subjects having low-fat diets? Let μ1 denote the mean weight loss on the low-carb diet and μ2 denote the mean weight loss on the low-fat diet. Use the =α0.05 level and the critical value method. 1) State the appropriate null and alternate hypotheses. 2)Choose a significance level and find the critical value. 3)Compute the test statistic. To compute the test statistic, we use the formula 4)Determine whether to reject H0.
A company produces ceramic floor tiles that are supposed to have a surface area of 16 square inches. Due to variability in the manufacturing process, the actual surface area has a normal distribution with a mean of 16.1 square inches and a standard deviation of 0.2 square inches. The proportion of tiles produced by the process with a surface area less then 16 square inches is?
A pharmaceutical company needs to know if its new cholesterol drug, Praxor, is effective at lowering cholesterol levels. It believes that people who take Praxor will average a greater decrease in cholesterol level than people taking a placebo. After the experiment is complete, the researchers find that the 38 participants in the treatment group lowered their cholesterol levels by a mean of 23.2 points with a standard deviation of 4.4 points. The 44 participants in the control group lowered their cholesterol levels by a mean of 21.5 points with a standard deviation of 2.9 points. Assume that the population variances are not equal and test the company's claim at the 0.01 level. Let the treatment group be Population 1 and let the control group be Population 2. Step 2 of 3: Compute the value of the test statistic. Round your answer to three decimal places.

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