For Exercise 10, assume that the variables are normally or approximately normally distributed. Use thetraditional method of hypothesis testing unless otherwise specified.10. Carbohydrates in Fast FoodsThe number of carbohydrates found in a random sample of fast-food entrees is listed below. Is there sufficientevidence to conclude that the variance differs from 100? Use the 0.05 level of significance.53463939304738734341Source: Fast Food Explorer (www.fatcalories.com).

Null Hypothesis: H0:σ2=100 Alternative Hypothesis: H1:σ2≠100 For the given sample, the sample…

Answered: For Exercise 10, assume that 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 manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 436 gram setting. Based on a 20 bag sample where the mean is 433 grams and the variance is 121, is there sufficient evidence at the 0.025 level that the bags are underfilled? Assume the population distribution is approximately normal. Step 1 of 5 : State the null and alternative hypotheses.
The number of carbohydrates found in a random sample of fast-food entrees is listed. Is there sufficient evidence to conclude that the variance differs from 105? Use the 0.10 level of significance. Use a graphing calculator with the program SDHYP and the P-value method. Assume that the variable is approximately normally distributed. 70 69 44 61 39 54 32 70 56 68 (a) State the hypotheses and identify the claim with the correct hypothesis. :H0 ▼(Choose one) :H1 ▼(Choose one) This hypothesis test is a ?one-tailed or two-tailed? test. σ2 state if H0 and H1 is either claim or not claim
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 445 gram setting. Based on a 29 bag sample where the mean is 438 grams and the variance is 676, is there sufficient evidence at the 0.1 level that the bags are underfilled or overfilled? Assume the population distribution is approximately normal. Step 1 of 5 : State the null and alternative hypotheses.
When operating normally, a manufacturing process produces tablets for which the mean weight of the active ingredient is 5 grams, and the standard deviation is 0.025 gram. For a random sample of 12 tablets the following weights of active ingredient (in grams) were found:5.01 4.69 5.03 4.98 4.98 4.955.00 5.00 5.03 5.01 5.04 4.95a. Without assuming that the population variance is known, test the null hypothesis that the population mean weight of active ingredient per table is 5 grams. Use a two-sided alternative and a 5% significance level. State any assumptions that you make.b. Stating any assumptions that you make, test the null hypothesis that the population standard deviation is 0.025 gram against the alternative hypothesis that the population standard deviation exceeds 0.025 gram. Use a 5% significance level.
Here is a link to a data set concerning treatment groups A and B. Before performing a t-test to determine if the two groups are different, researchers must first ascertain if the variance in the two groups is the same using an F test. Indicate whether the hypothesis below is the null or alternate hypothesis for the F test. The variance in group A is equal to the variance in group B Calculate the F statistic for this data set and report it in the box below, rounded to two decimal places. Use the formula =(1-(f.dist(F, df1,df2,true) in Excel to calculate the P value for the F statistic, and report it in the box below. Do not use the rounded value for F when calculating the P value. Use the value in the spreadsheet that has not been rounded. Based on this p value, would you recommend using a Student's t test or a Welch's t test to determine if the two treatment groups have different means? Enter either Student's or Welch's in the box below.
An automatic filling machine is used to fill bottles with liquid detergent. A random sample of 20 bottles results in a sample variance of fill volume of s2 = 0.0153 (fluid ounces) 2. If the variance of fill volume exceeds 0.01 (fluid ounces)2, an unacceptable proportion of bottles will be underfilled or overfilled. Using a level of significance of 0.05, and assuming that fill volume has a normal distribution, answer the following questions. If χ2critical = 30.14, is there evidence in the sample data to suggest that the manufacturer has a problem with underfilled or overfilled bottles?
A scrap metal dealer claims that the mean of his cash is 'no more than R80', but an Internal Revenue Service agent believes that the dealer is untruthful. The agent randomly selects a sample of 20 cash customers and find the mean purchase to be R91, with a variance of R441. What is The correct conclusion at 5% significance level if the test statistic value is 2,3425?

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