Data on the weights (lb) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarizedto the right. Assume that the two samples are independent simple random samples selected from normally distributed populations, anddo not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.01 significance level for bothparts.a. Test the claim that the contents of cans of diet soda have weights with a mean that is less than the mean for the regular soda.What are the null and alternative hypotheses?OA. Ho: H₁ H₂H₁: M₁μ₂OC. Ho: H₁ H₂H₁: H₁

DietRegularn39390.782820.81588s0.004310.00757

Answered: Data on the weights (lb) of the…

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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A researcher takes sample temperatures in Fahrenheit of 19 days from Pittsburgh (Group 1) and 16 days from San Antonio (Group 2). Test the claim that the mean temperature in Pittsburgh greater than the mean temperature in San Antonio. Use a significance level of a = 0.01. Assume the populations are approximately normally distributed with unequal variances. You obtain the following two samples of data. Round answers to 4 decimal places. Pittsburgh San Antonio 64.6 60.9 53.1 47.8 41.3 54.1 64.1 56.7 73.9 55.6 60.4 80.2 69.8 65 80.9 38.2 52 71.3 63.2 39.2 89.7 89.7 20.1 72.3 39.2 71.3 57.6 p-value = 59.6 61.9 41.3 53.1 63.4 69.2 What are the correct hypotheses? Note this may view better in full screen mode. Select the correct symbols for each of the 6 spaces. Ho: M Test Statistic = 68.3 53.6 H₁: P₁ Based on the hypotheses, find the following: OF H₂ The p-value is greater than alpha X H₂ o to alpha. The correct decision is to fail to reject the null hypothesis ✓✓ OF The correct summary…
In a recent study, the strengths of a plywood and oriental strand brand (OSB) were compared. Independent random samples of each type of wood were obtained, and the dry density of each piece (in g/m ) was measured. Assume that populations are normal and the variances are equal. The summary statistics are given in the following table: Plywood n, =12 X, =581.8 X, =605.2 s =5.56 OSB n =15 s, =7.23 a. Find a 99% confidence interval for the difference in population mean dry densities. b. Interpret the interval found in part a. c. Do the data indicate that the true mean dry density of plywood is significantly less than the true mean dry density of OSB? Us a = 0.05. (i) State the null and alternative hypotheses. (ii) Calculate the value of the test statistic. (iii) Rejection region. (iv) Conclusion. (vi) What assumption are necessary for the test in part e to be valid?
A survey was conducted to compare the mean cost of a meal at fast food restaurants in two different cities. City Sample mean 26 $4.05 $0.55 $0.85 32 $5.15 Assume that the population variances of both groups are the same. Calculate the test statistic to test whether there is sufficient evidence that the mean costs of a meal at fast food restaurants in two different cities are different.
In the African savannah, elephants like to eat very young trees. Imaginethat, in a section of the savannah, the mean height of young trees is 30.0 cm with a variance of 25.0 cm2. Assume that young tree height is normally distributed. a. What percentage of young trees would be eaten if elephants eat alltrees shorter than 34.0 cm? b. In a section of the savannah, there are many young trees. If wetake a random sample of 36 trees what is the probability that the meanheight of our sample is between 28.0 and 33.0 cm?
Data on the weights (lb) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.05 significance level for both parts. Diet Regular μ μ1 μ2 n 34 34 x 0.79146 lb 0.81544 lb s 0.00437 lb 0.00752 lb A. Test the claim that the contents of cans of diet soda have weights with a mean that is less than the mean for the regular soda. What are the null and alternative hypotheses? A. H0: μ1≠μ2 H1: μ1<μ2 B. H0: μ1=μ2 H1: μ1<μ2 C. H0: μ1=μ2 H1: μ1>μ2 D. H0: μ1=μ2 H1: μ1≠ The test statistic, t, is ______.(Round to two decimal places as needed.) B. Construct a confidence interval…
Data on the weights (Ib) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.05 significance level for both parts. Diet Regular H2 40 40 0.78244 lb 0.81852 lb 0.00435 lb 0.00752 lb a. Test the claim that the contents of cans of diet soda have weights with a mean that is less than the mean for the regular soda. What are the null and alternative hypotheses? B. Ho: H1 H2 O A. Ho: H1=42 H: P1
In the population of senior students at Shermer High School, the proportion who plan to attend college is 0.64. In a random sample of 100 students from this population, the proportion who plan to attend college is 0.75. We would call the value 0.64 a P-value. z-score. parameter statistic significance level.
A manufacturer of a liquid soap produces a bottle with an advertised content of 310mL. A sample of 10 bottles yields the following contents 297 322 318 307 306 311 315 303 296 291 What is the standard deviation of the given sample? What is the variance of the given sample?
The Ministry of Education has commissioned a study to determine students’ reading ability based on the level of illumination they were given for the type of reading material. The results of the trial are given below: 1. Conduct the appropriate statistical analyses to compare the reading ability for the two types of reading material while controlling for level of illumination. Clearly outline all your tests.2. What is your conclusion? 3. Has the assumptions of normality and homogeneity of variance been met? (Quote relevant statistics in your response and provide the necessary hypotheses)4. The JASP output and input of all the statistical analyses performed PLEASE INSERT ALL CALCULATIONS USING JASP SOFTWARE
Data on the weights (lb) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.05 significance level for both parts. Diet Regular μ μ1 μ2 n 28 28 x 0.79741 lb 0.81023 lb s 0.00442 lb 0.00749 lb a. Test the claim that the contents of cans of diet soda have weights with a mean that is less than the mean for the regular soda. What are the null and alternative hypotheses? A. H0: μ1=μ2 H1: μ1≠μ2 B. H0: μ1≠μ2 H1: μ1<μ2 C. H0: μ1=μ2 H1: μ1>μ2 D. H0: μ1=μ2 H1: μ1<μ2 The test statistic, t, is nothing. (Round to two decimal places as needed.) The P-value is nothing.…
What is the sample size for the given data
The accompanying data table contains chest deceleration measurements (in g, whereg is the force of gravity) from samples of small, midsize, and large cars. Shown are the technology results for analysis of variance of this data table. Assume that a researcher plans to use a 0.05 significance level to test the claim that the different size categories have the same mean chest deceleration in the standard crash test. Complete parts (a) and (b) below. Click the icon to view the table of chest deceleration measurements A Click the icon to view the table of analysis of variance results. ..... a. What characteristic of the data specifically indicates that one-way analysis of variance should be used? O A. There are three samples of measurements. O B. The population means are approximately normal. O C. The measurements are categorized according to the one characteristic of size. O D. Nothing specifically indicates that one-way analysis of variance should be used. b. If the objective is to test…

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