A snack food manufacturer estimates that the variance of the number of grams of carbohydrates in servings of its tortilla chips is 1.11. A dietician is asked to test thisclaim and finds that a random sample of 22 servings has a variance of 0.95. At a=0.01, is there enough evidence to reject the manufacturer's claim? Assume thepopulation is normally distributed. Complete parts (a) through (e) below.(a) Write the claim mathematically and identify H, and H.DA. Ho:o#1.11CB. H o =1.11 (Claim)ntsH o=1.11 (Claim)H, o +111OD. Ho os1.11 (Claim)H, o?>1.11Ho o21.11braryH o<1.11 (Claim)(b) Find the critical value(s) and identify the rejection region(s).The critical value(s) is(are)(Round to two decimal places as needed. Use a comma to separate answers as needed.)cessesourcesccessClear allCheck answerView an exampleGet more help -Help me solve thisContact Usis Or Use T FIvacy Policy T Permissions ContaCt USCopyright O 2021 Pearson Education inc. All Tights reserved. | Term8:4912/6/299+Type here to search10/05/17InsertDeletePriSc

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Answered: A snack food manufacturer estimates…

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 snack food manufacturer estimates that the variance of the number of grams of carbohydrates in servings of its tortilla chips is 1.23. A dietician is asked to test this claim and finds that a random sample of 16 servings has a variance of 1.16. At a 0.01, is there enough evidence to reject the manufacturer's claim? Assume the population is normally distributed. Complete parts (a) through (e) below. H2: o21.23 (Claim) Ha: o1.23 (b) Find the critical value(s) and identify the rejection region(s) The critical value(s) is(are) (Round to two decimal places as needed. Use a comma to separate answers as needed.) Choose the correct statement below and fill in the corresponding answer boxes. OA. The rejection region is x2 and x2> O B. The rejection regions are x < O C. The rejection region is x < (c) Find the standardized test statistic x (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis, and (e) interpret the decision in the context…
The table below shows the number of hours per day 11 patients suffered from headaches before and after 7 weeks of soft tissue therapy. At a = 0.01, is there enough evidence to conclude that soft tissue therapy helps to reduce the length of time patients suffer from headaches? Assume the samples are random and dependent, and the population is normally distributed. Complete parts (a) through (). Patient Daily headache hours (before) 2.9 3.2 3.4 1.8 Dally headache hours (after) 1 2 3 4 5 10 11 P 3.8 2.5 1.8 3.3 3.8 1.2 2.9 4.3 6 7 8 9 4.4 1.8 1.7 3.6 2.2 1.1 1.1 1.4 3.5 2.2 (a) Identify the claim and state Ha and H The claim is "The therapy helps to reduce the length of time patients suffer from headaches." Let Ha be the hypothesized mean of the patients' daily headache hours before therapy minus their daily headache hours after it. State Ho and H. Choose the correct answer below. OA. Ho: H sd B. Họ: H s0 OC. Họ: Had H: >0 OD. Ho: Ha20 R= Prt:"H OE Ho: Ha =d OF. Ho: Hg zd p> PH :"H (b)…
A bolt manufacturer is very concerned about the consistency with which his machines produce bolts. The bolts should be 0.24 centimeters in diameter. The variance of the bolts should be 0.015. A random sample of 12 bolts has an average diameter of 0.23 cm with a standard deviation of 0.2406. Can the manufacturer conclude that the bolts vary by more than the required variance at a = 0.025 level? Step 5 of 5: What is the conclusion?
A snack food manufacturer estimates that the variance of the number of grams of carbohydrates in servings of its tortilla chips is 1.26. A dietician is asked to test this claim and finds that a random sample of 24 servings has a variance of 1.13. At a = 0.01, is there enough evidence to reject the manufacturer's claim? Assume the population is normally distributed. Complete parts (a) through (e) below. (c) Find the standardized test statistic y2. 20.63 (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis, and (e) interpret the decision in the context of the original claim. Fill in the correct answers below. V Ho. There venough evidence to at the 1% level of significance to reject the manufacturer's claim that the variance of the number of grams of carbohydrates in servings of its tortilla chips is 1.26.
SAT scores are normally distributed with a mean of 1,800 and a variance of 22,500. Given arandom classroom of 400 students, about how many should have scores between 1350 and1950?
A normal population has a mean 100 and variance 25. How large must the sample size be if we want the standard error of the sample average to be at most 1.5? The sample size is an integer value. i
A professor claims that exam scores for non-accounting majors are more variable than for accounting majors. Random samples of 29 non-accounting majors and 29 accounting majors are taken from a final exam. Test at the 1% level the null hypothesis that the two population variances are equal against the alternative that the true variance is higher for the non-accounting majors. Assume the populations are normally distributed. Non-Accounting Accounting 2 A. H₂:0²=0² H₁:0² > 0² Ho: H₁:0² +0² The test statistic is F = = 29 nx= ny = 29 2 S S 2 the alternative hypothesis is represented by H₁. Choose the correct answer below. B. Ho: 0²20² H₁:0² <0 = 1611.016 = 446.238 ○D. H₂:0² = 0² H₁:0² <0² (Round to three decimal places as needed.)
A magazine claims that the mean amount spent by a customer at Burger Stop is greater than the mean amount spent by a customer at Fry World. The results for samples of customer transactions for the two fast food restaurants are shoun below. At g= 0.01, can you support the magazine's claim? Assume the population variances are equal. Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e) below Burger Stop X = $8.65 Fry World X2 = $8.02 S, = $0.77 S2 = $0.75 n1 = 12 n2 = 10 (a) Identify the claim and state H, and H. Which is the correct claim below? O A. "The mean amount spent by a customer at Burger Stop is greater than the mean amount spent by a customer at Fry World." O B. "The mean amount spent by a customer at Burger Stop is equal to the mean amount spent by a customer at Fry World." O C. "The mean amount spent by a customer at Fry World is greater than the mean amount spent by a customer at Burger Stop." O D. The…
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A researcher prepared a figure showing sample quantiles as a function of the quantiles of a standard normal distribution, and concluded that the resulting line could be well-described using the linear equation: Xi = 1.2 Zi + 14.6 Based on this information, what value would you suggest as an estimate of the variance for this dataset?
A pet association claims that the mean annual cost of food for dogs and cats are the same. The results for samples for the two types of pets are shown below. At a = 0.05, can you reject the pet association's claim? Assume the population variances are not equal. Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e) below. Dogs Cats $223 X2 $188 %3D S1 = $44 S2 = $40 n1 17 n2 14 %3D A. "The mean annual cost of food for dogs is greater than the cost for cats." B. "The mean annual costs of food for dogs and cats are equal." O C. "The mean annual costs of food for dogs and cats are not equal." D. "The mean annual cost of food for cats is greater than the cost for dogs." What are H, and H,? The null hypothesis, Ho, is µ1 = H2: The alternative hypothesis, H2, is µ1 # µ2. Which hypothesis is the claim? The null hypothesis, Ho The alternative hypothesis, Ha (b) Find the critical value(s) and identify the rejection region(s).…
The accounting department analyzes the variance of the weekly unit costs reported by two production departments. A sample of 16 cost reports for each of the two departments shows cost variances of 2.4 and 5.6, respectively. Is this sample sufficient to conclude that the two production departments differ in terms of unit cost variance? Use a = 0.10. You may need to use the appropriate technology to answer this question. State the null and alternative hypotheses. 2. Ho: a H: 01 Ho 2 2 +02. = 2 02, Ha: 01 >『っ 2 Ho: 01 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places. Remember: When using WebAssign technology to find p-values, use the entire test statistic (not the rounded answer from the previous question.)) p-value = State your conclusion. Do not reject Ho. We can conclude that there is a difference between the population variances. Do not reject Hg. We cannot conclude that there is a difference…

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