#3 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.   Diet  Regular u u1 u2 n 36 36 x overbar 0.78616 lb 0.81111 lb s 0.00444 lb 0.00752 lb  The test​ statistic, t, P-Value Conclusion of test  Construct a confidence interveral appropriate for the hypothesis test  does the confidence interval support conclusion of hypothesis test

Question

#3

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.

  Diet  Regular
u u1 u2
n 36 36
x overbar 0.78616 lb 0.81111 lb
s 0.00444 lb 0.00752 lb 

The test​ statistic, t,

P-Value

Conclusion of test 

Construct a confidence interveral appropriate for the hypothesis test 

does the confidence interval support conclusion of hypothesis test

 

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Statistics

Hypothesis Testing

Related Statistics Q&A

Find answers to questions asked by students like you.

Q: A firm makes MP3 players. The research department at this firm found that the life of the MP3 player...

A: Click to see the answer

Q: Assume that when adults with smartphones are randomly​ selected, 5858​% use them in meetings or clas...

A: Obtain the probability that at least 22 of them use their smart phones in meetings or classes. From ...

Q: Mrs. Voorhees claims that a Bowie knife is the most effective method of disposing rowdy campers. In ...

A: Identify the correct option for the given statement. The correct option is identified below: State t...

Q: When referring to interval-ratio variables, a commonly used synonym for association is a. probabilit...

A: When referring to interval-ratio variables, a commonly used synonym for association is Correlation.

Q: Friendship Motivation. In the article “Assessing Friendship Motivation During Preadolescence and Ear...

A: From the provided information, The FMSC score of boys is normally distributed with mean (µ) 9.32 and...

Q: A local police chief claims that 46% of all robbery-related arrests are never prosecuted. A sample o...

A: From the provided information, A) The hypotheses can be constructed as: Null hypothesis: H0: p = 0.4...

Q: 7. Archaeology: Ireland Inorganic phosphorous is a naturally occurring element in all plants and ani...

A: Given data Region 1: x1 Region 1: x2 540 750 810 870 790 700 790 810 ...

Q: A researcher wants to determine if there is a relationship between number of classes students are en...

A: Given that, A researcher wants to determine if there is a relationship between number of classes stu...

Q: Using traditional methods it takes 91 hours to receive an advanced flying license. A new training te...

A: Click to see the answer

Q: Aluminum contamination in the manufacture of polyethylene teraphthalate (a biomedical polymer) is li...

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If y...

Q: In a crash test of 2018 Honda Odyssey​ minivans, collision repair costs are found to follow a normal...

A:  

Q: 12. ANOVA for Verbal SAT as a Predictor of GPAHow well does a student’s Verbal SAT score (on an 800-...

A: Part (a): The estimated regression equation is as follows: GPA = 2.03 + 0.00189 Verbal SAT. Predict ...

Q: For what is normal population an abbreviation?

A: In statistical terminology, a collection of quantities following normal ditribution is termed as a n...

Q: Why should you sometimes use normal-curve areas to approximate binomial probabilities even though yo...

A: Binomial approximation: The normal distribution can be used as an approximation to the binomial dist...

Q: Which of the following will decrease the width of a confidence interval   I. Increasing the confiden...

A: The confidence interval depends on the three factors: Confidence level: The width of the confidence...

Q: A sample of n=10,000 (x, y) pairs resulted in r= .022. Test H0: p=0 versus Ha: p=? 0 at significance...

A: The hypotheses are given below: Null hypothesis: H0: ρ= 0 Alternative hypothesis: Ha: ρ ≠ 0 Degrees ...

Q: Name Date Three different makes of cars were tested for fuel efficiency. For each make of car fiftee...

A: The null and alternative hypotheses are; Null hypothesis: All the fuel economies are the same. Alter...

Q: A manager for an insurance company believes that customers have the following preferences for life i...

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If y...

Q: 5a,the DV, statistical test, t-crit, and the blanks of the table

A: Click to see the answer

Q: The following random sample was selected from a normal distribution: 4, 6, 3, 5, 9, 3. A. Constru...

A: 90% Confidence Interval is given as:

Q: This exercise is based on summary statistics rather than raw data. This information is typically all...

A: a) Option c is correct i.e. Parents who choose a Montessori school probably have a different attitud...

Q: A study was done of 6 patients admitted to a hospital. Their ages (x) and systolic blood pressure (y...

A: Note: Hey, since multiple subparts are posted, we will answer first three subparts according to our ...

Q: 6.36. Find the sample size needed to give ,with 95% confidence,  a margin of error with 3% when esti...

A: Click to see the answer

Q: Birth weights in the US are normally distributed with a mean of 3420 g and a Standard deviation of 4...

A: From the provided information, Population mean (µ) = 3420 g Standard deviation (σ) = 495 g The z val...

Q: Question 1 "PhysicalFun" is a physical center which opens 24 hours per day. Each member of “Physical...

A: Consider X be a random variable which follows normal distribution indicates the number of hours a pe...

Q: Assume that it is equally likely for a child to be born a boy or a girl, and that the Lin family is ...

A: Click to see the answer

Q: 8) Determine the following probabilities given a normal x- distribution(convert to z first): (a) u i...

A: Click to see the answer

Q: I have a statistics the question which on the attached image.

A: A) The mean of the data can be obtained as:

Q: Claim: 20% of adults smoke. In a survey of 1016 adults, 21% of them smoke. a) Express this claim in ...

A: Given information- a) Claim is that 20% of adults smoke. So proportion (p) is-  p = 0.20 Out of 1016...

Q: Write down the confidence interval formula for image 1  . Is the correct answer  image 2?

A: Confidence interval: If Xi’s are n random sample from normal population with mean µX and standard de...

Q: Suppose​ 18% of​ movie-goers say that horror is their favorite movie genre. If a random sample of 70...

A: Obtain the mean number of movie-goers that prefer horror movie genre. The mean number of movie-goers...

Q: Recent evidence suggests that graduating from college during bad economic times can impact the gradu...

A: a. The null and the alternative hypothesis are, H0: μ1−μ2 ≤ 0; HA: μ1−μ2 > 0

Q: Refer to the accompanying data set of mean​ drive-through service times at dinner in seconds at two ...

A: Solution: The mean and standard deviation for the restaurant X is calculated by using excel. The co...

Q: 5. Consider the data with analysis shown in the following computer output: Level N Mean StDev ...

A: Confidence interval: Formula: It is given that the sample mean for population A is 10.400, standard...

Q: ANOVA is a one-tailed test and we are concerned only with those outcomes in which there is more vari...

A: Based on the concept of ANOVA, there is more variance between categories than within categories.

Q: An IQ test is designed so that the mean is 100 and the standard deviation is 19 for the population o...

A: (a)  Solution: It is given that, Population standard deviation, =19 Margin of error,E = 07 The value...

Q: A magician shuffles a standard deck of playing cards and allows an audience member to pull out a car...

A: The total number of people is 5, the number of face cards in a standard deck is 12 and non-face card...

Q: A diet center claims that it has the most effective weight loss program in the region. Its advertise...

A: Solution: a. From the given information, the advertisement is “Participants in our program lose more...

Q: What proportion of a normal distribution is located in the tail beyond z = –1.00?

A: Let Z denote the standard normal variable with a mean of zero and a standard deviation of one. The p...

Q: The sample mean and standard deviation from a random sample of 30 observations from a normal populat...

A: Computing the test statistic for hypothesis test: The test statistic for t test is given by:

Q: I need help with question #2 part d and e

A: It is assumed that both populations are normally distributed and the population standard deviation a...

Q: A market researcher believes that brand perception of one of the company's products may vary between...

A: Click to see the answer

Q: Using traditional methods it takes 91 hours to receive an advanced flying license. A new training te...

A: Given that,

Q: Assume you are an executive of a large transportation company, and your firm's profit is highly sens...

A: Data that are collected over a time period are considered to be time series data. In this case, the ...

Q: Thickness measurement ancient prehistoric Native American Pot Shards discovered in Hopi Village are ...

A: Standard normal distribution: The standard normal distribution is a special case of normal distribut...

Q: A drug company is thinking about adding a warning label to their new allergy medicine that it might ...

A: State the hypotheses. That is, the true population mean response time for people equals 1.3s That ...

Q: Fertile, female cats produce an average of four litters per year. Suppose that one fertile, female c...

A:  

Q: I need help with #1

A: a. From the given information, α=0.10, n1 = 14, x1 -bar = 473, s1 = 190. n2 = 23, x2 -bar = 741, s2 ...

Q: A bag contains 46 U.S. quarters and four Canadian quarters. (The coins are identical in size.) If si...

A: Solution: From the given information, a bag contains 46 U.S. quarters and 4 Canadian quarters. Here,...