[Hypothesis testing using t-distribution: one tail test] Historically a soft drink bottle contains 2 liters. A recent article complains that bottles actually contain less than 2 liters. To verify this claim a sample of 49 bottles is taken. The sample average is 1.976 liters with the sample standard deviation of 0.12 liters. Based on this sample, is there enough evidence to prove the claim that bottles actually contain less than 2 liters at 5% significance level? (a) Yes (b) No (c) We don’t have enough information to decide

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A: Solution: 1. State the hypotheses. Null hypothesis: That is, the college students watch not fewer…

Q: A math teacher claims that she has developed a review course that increases the scores of students…

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Q: 5. A philanthropic organization helped a town in Africa dig several wells to gain access to clean…

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Q: 3. A county is considering raising the speed limit on a road because they claim that the mean speed…

A: Given: A county is considering raising the speed limit on a road because they claim that the mean…

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A: From the provided information, Sample size (n) = 45 Sample mean (x̅) = 27690 Sample standard…

Q: 6. An inspector wants to test if the Coke-litro-filling machine is defective by getting a random…

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Q: 14. The length of time required to complete a college achievement test is found to be normally…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: (d) Test the hypothesis at the a = 0.10 level of significance with n= 400 students. Assume that the…

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Q: 1. Past data suggests that the average wait time at the drive-through at a certain fast food…

A: Given that, Past data suggests that the average wait time at the drive-through at a certain fast…

Q: An agronomist believes that a newly developed fertilizer will increase the mean harvest of eggplants…

A: Option a correct a. μ > 2.5 kg

Q: The number of pizzas consumed per month by university students is normally distributed with a mean…

A: Given data,μ=10σ=4

Q: A company that produces snack foods uses a machine to package 454 grams bags  of potato chips. A…

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Q: 3. At a community college, evening classes tend to have more reentry students than day classes,…

A: Given : Claim : The mean age of day students is less than the mean age of evening students.

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A: From the provided information,

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A: The independent variable is monthly charge on its credit card. The population mean is 1450. The…

Q: Are low-fat diets or low-carb diets more effective for weight loss? This question was addressed by a…

A: Given that, for a low-carbohydrate diet n1=77, x1=4.7 kg, s1=7.2 kg For a low-fat diet, n2=79,…

Q: 10. A consumer claims that the mean lifetime of a brand of fluorescent bulbs is less than 1500…

A: Since the population standard deviation is unknown, the appropriate test is one sample t-test. Null…

Q: 6) In order to increase customer service, a muffler repair shop claims its mechanics can replace a…

A: Given data: Population mean = 12 minutes Sample size  = 6 Sample mean = 11.6 Sample standard…

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A: The critical value of is obtained Ti 83 calculator function “=invNORM(Probability, mean, standard…

Q: b. It has been reported that the average credit card debt for the newly employed is $3350. The…

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Q: The FleetFoot Shoe company claims that the average yearly salary of its workers is $29,800. The…

A: The following information has been provided: Hypothesized Population Mean (μ)(\mu) = average…

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Q: A. A researcher used a developed problem solving test to randomly select 50 Grade 6 pupils. In this…

A: Write the null and alternative hypothesis as: Ho:u=75H1:u≠75

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A: Given that: Population mean, μ=1240 Sample mean, x¯=1491 Standard deviation, s=342 Sample size, n=20…

Q: Solve the problems by following the steps and procedures in hypothesis testing. 2. A soda…

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Q: NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you…

A: Let X1 be the random variable such that an average weight loss due to a power diet. x¯1 : The sample…

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A: From the provided information, level of significance (α) = 0.05 Sample size (n) = 20 Sample mean…

Q: 4) In testing the claim about the mean annual income of full-time college students is below $15,000,…

A: Given that  Sample size: n =40 Sample mean: x¯=14450 Sample standard deviation: s=2025 Level of…

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A: We have given that  Sample size n= 15 Population standard deviation = 12.2 Sample standard deviation…

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A: μ=850σ=50X¯=810

Q: A recent national survey found that high school students watched an average (mean) of 7.0 movies per…

A: 1.Null and alternative hypotheses:Null hypothesis:H0: µ = 7.0.That is, the average movies watched by…

Q: 2. A report claims that an adult Filipino drinks an average of 5.5 cups of coffee per week. Fifteen…

A: 2) Givensample size(n)=15Mean(x)=6.25standard deviation(s)=0.25significance level=0.05

Q: 2. Average Senior High school annual cost of tuition fee for all private schools last year was…

A: Statistical hypothesis testing is an important method in inferential statistics. It is used to test…

Q: . A medical statistician wants to estimate average weight loss of people who are on a new diet plan.…

A: Given : Margin of error, ME = 2.0 population standard deviation, σ = 10.0…

Q: 2. A professional racing team is holding tryouts at its test track. The team requires its drivers to…

A: Given,sample size(n)=10sample mean(x¯)=140standard deviation(σ)=4.5

Q: A brochure inviting subscriptions for a new diet program states that the participants are expected…

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Q: Some manufacturers claim that non-hybrid sedan cars have a lower mean miles-per-gallon (mpg) than…

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Q: 3. A researcher is conducting a study on the average time consumed by HS students in playing mobile…

A: From the provided information, Sample size (n) = 50 Sample mean (x̄) = 200 Standard deviation (σ) =…

Q: 1) A sample of salaries of university assistant professors in the business department revealed a…

A: A normal distribution follows a bell shaped curve which is centred at the mean and it is also called…

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Q: 2. A manufacturer of flashlight batteries claims that the average life of his product will exceed 40…

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Q: 3. A sociologist will conduct a two-sample t-test for a difference in means to investigate whether…

A: From the given information, it is clear that,  From the master degree,  Sample size n1=28 Mean…

Q: 2. An investment consultation firm claims that it will increase the returns on its clients'…

A: Given that  Sample size n =50 Sample mean =18.5 Standard deviation =0.5

Q: Are low-fat diets or low-carb diets more effective for weight loss? This question was addressed by a…

A: