20. brand were Suppose that two brands of gasoline were being compared for mileage. Samples of each were taken and used in identical cars under identical conditions. Nine tests were made of Brand I and six tests of Brand II. The following miles per gallon were found. Brand Brand II 13 15 16 18 15 23 17 14 19 21 16 17 12 13 Are the two brands significantly different? What must be assumed here in order to carry out h test?

Question

Hi, please see attached. Having trouble with the calculation of the significance test of this problem. Thanks.

20.
brand were
Suppose that two brands of gasoline were being compared for mileage. Samples of each
were taken and used in identical cars under identical conditions. Nine tests were made of
Brand I and six tests of Brand II. The following miles per gallon were found.
Brand Brand II
13
15
16
18
15
23
17
14
19
21
16
17
12
13
Are the two brands significantly different? What must be assumed here in order to carry out h
test?
Expand
Transcribed Image Text

20. brand were Suppose that two brands of gasoline were being compared for mileage. Samples of each were taken and used in identical cars under identical conditions. Nine tests were made of Brand I and six tests of Brand II. The following miles per gallon were found. Brand Brand II 13 15 16 18 15 23 17 14 19 21 16 17 12 13 Are the two brands significantly different? What must be assumed here in order to carry out h 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

Related Statistics Q&A

Find answers to questions asked by students like you.

Q: A hospital administrator claims that the proportion of knee surgeries that are successful is 87%. To...

A: The provided information are:Sample size (n) = 450Hypothesised proportion (po)=0.87From the provided...

Q: If X(n,p) is a binomial random variable with parameters n and p, then why is it that X(n+1,p) stocha...

A: Both random variables have common probability space, we can clearly say that the expected value of X...

Q: given that the sample mean=105, pop standard deviation=27, n=44, a=0.01 what is the critical s-score

A: Note: In this question it has mentioned that we have to find the s – score but it seems that it is a...

Q: Listed below are amounts of arsenic in samples of brown rice from three different states. The amount...

A: Solution:Null and alternative hypotheses:Null hypothesis: µ1 = µ2 = µ3Alternative hypothesis: µ1 ≠ µ...

Q: Five children aged 2, 3, 5, 7 and 8 years old weigh 14, 20, 32, 42 and 44 kilograms respectively. Fi...

A: Let x be the age of children and y be the weight of children.The equation of the regression line is:

Q: Flying over the western states with mountainous terrain in a small aircraft is 40% riskier than flyi...

A: (a) Poisson distribution is a good choice for the probability distribution of r:Poisson distribution...

Q: Joe likes to go to an old arcade and play 12 games of Skeeball every day. On​ average, he wins a pri...

A: In this context, there are fixed number of trials. That is, n = 12. There are two possible outcomes ...

Q: It has been reported that 20.4% of incoming freshmen indicate that they will major in business or a ...

A: Confidence interval:The (1-α) % confidence interval for proportion p is given by,

Q: For T-tests on related measures, my number of subjects is odd. How do I calculate the differential i...

A: In such cases, you can turn to  Repeated measures ANOVA which can detect differences in mean scores ...

Q: Find the​ mean, median, and mode of the​ data, if possible. If any of these measures cannot be found...

A: The sample data of seven admission test scores for a professional school is provided.Here, n = 7.The...

Q: Repeat the following procedure for the four given numbers.Multiply the number by 4. Add 4 to product...

A: The first number is 1Step-1 Multiplying by 4 we get =1*4 = 4Step-2 Add 4 to the product we get = 4+4...

Q: On a test, 95% of the questions are answered correctly.  If 57 questions are correct, how many quest...

A: The aim is to find the number of questions on the test.Here, the number of question answered correct...

Q: If a chicken and a half lays an egg and a half in a day and a half how many eggs can 30 chickens lay...

A: It is given that a chicken and a half lays an egg and a half, in a day and half.That is, 1.5 chicken...

Q: Suppose 230 subjects are treated with a drug that is used to treat pain and 54 of them developed nau...

A: Given hypothesis testNull Hypothesis : p = 0.20Alternative Hypothesis : p > 0.20The sample size n...

Q: In a normal distribution of pain estimates (0 = no pain, 100 = lots of pain) where μ = 25 and σ = 11...

A: The given information is that the normal distribution of pain estimates with mean 25 and standard de...

Q: Fifty-three percent of all persons in the U.S. population have at least some college education.  Cho...

A: According to the given question, Fifty-three percent of all persons in the U.S. population have at l...

Q: Use the normal approximation to the binominal to approximate the probabilities. *Using A Ti-84 Calcu...

A: Normal approximation to the binomial:From the given information, it is clear that n = 120The probabi...

Q: In Spetember of 2013, Mario The Baker introduced a new chocolate cake and hired Doug and Jeremy to b...

A: Description of events A and B:It is given that 40% of the cakes got “thumbs up” out of 70% of the ca...

Q: Hi. I need help with part (c) only. Consider the accompanying 2 × 3 table displaying the sample prop...

A: Let us assume the total sample size be n. Writing the given proportions as number of people we get a...

Q: A statistical program is recommended. Electromagnetic technologies offer effective nondestructive se...

A: Hey, since there are multiple subparts posted, we will answer first three subparts. If you want any ...

Q: In a fishing logde brochure, the lodge advertises that 75% of its guest catch northern pike over 20 ...

A: The provided information are:

Q: Age 18-23 24-29 30-35 36-41 42-47 48-53   Male 2 2 3 1 2 1 11 Female 5 3 4 3 1 3 19   7 5 7 4 ...

A: Given data of male and female people with in the mentioned age groups as shown below.The total numbe...

Q: 3.) A card is selected from an ordinary deck of 52 cards. What is the probability of getting (Exampl...

A: a)Face cards are of jack, queen and king in each suit.Therefore in the suit of clubs there will be t...

Q: Deborah wants to estimate the percentage of people who eat fast food at least once per week. She wan...

A: Margin of error is usually computed using the formula below.  In this question, Margin of error is k...

Q: For frecuency distribution for us governor 2019.  Party.                     Frequency Democratic.  ...

A: Given question have more than three sub parts. According to our policies cannot answer more than thr...

Q: A group of data items and their mean are given. 12, 20, 28, 48, 72, 108;  Mean=48 A. Type the deviat...

A: A.Computing the deviation from mean for each of the data:Here the data items are 12, 20, 28, 48, 72,...

Q: A group of students decide to participate in a national strength test. Assume a normal distribution ...

A: Given mean number of students participated in national strength test = 580Standard deviation = 72.5T...

Q: Compute the probability of an event E if the odds in favor of E are 2/5.

A: Odds of an event:The odds an event is given by the ratio of the probability of the event to its prob...

Q: entle Ben is a Morgan horse at a Colorado dude ranch. Over the past 8 weeks, a veterinarian took the...

A:  (a) Level of significance:Level of significance (α) indicates the probability of rejecting null hyp...

Q: Reasons for means and medians being good and misleading.

A: Solution:Definition of mean and median:Mean and median are the measures of central tendency.Arithmet...

Q: According to a random sample taken at 12 A.M., body temperatures of healthy adults have a bell-shape...

A: Chebyshev’s inequality:Chebyshev’s rule is appropriate for any distribution. That is, Chebyshev’s in...

Q: This study investigated the cognitive effects of stimulant medication in children with Attention-Def...

A: Solution:The appropriate statistical analysis to determine if there is an effect of drug dose on CPT...

Q: Over the past several months, an adult patient has been treated for tetany (severe muscle spasms). T...

A: Confidence interval when population standard deviation is not known:The formula of confidence interv...

Q: You are asked to design a study to investigate the effectiveness of the Atkins diet (IV = diet, DV =...

A: Independent t test:Independent t test determines whether there is significant difference between the...

Q: In a study of the accuracy of fast food drive-through orders, one restaurant had 32 orders that were...

A: The provided details:

Q: 2.) Two distinct fair dice are rolled at the same time and the number of dots appearing on both are ...

A: Probability that the sum is 3It is possible only in following combinations:Dice one has 1 dice and d...

Q: Number 2 Please, Explain shortcut with TI84 if applicable

A: Given sample size n = 36Sample mean = 44Sample standard deviation = 5.2Level of significance = α = 0...

Q: A simple random sample of n=23 professors at a local community college have a mean course evaluation...

A: Solution:Null and alternative hypotheses:Null hypothesis: µ = 4Alternative hypothesis: µ ≠ 4Test sta...

Q: Part a, b, c

A: Null and alternative hypothesis:Null Hypothesis:A null hypothesis is a statement regarding the popul...

Q: Students were​ asked, "How stressed have you been in the last​ week, on a scale of 0 to​ 10, with 0 ...

A: Histogram:Histogram is a bar graph that represents a frequency distribution.

Q: Let z=a be a positive z-score in a standard normal distribution such that the area between z=-a and ...

A: Normal distribution:A random variable X is said to follow a normal distribution if the probability d...

Q: A simple random sample of 60 items from a population with o 9 resulted in a sample mean of 36. If re...

A: Confidence interval:The (1-α) % confidence interval for population mean µ is given by:

Q: Natasha is a physician looking to determine whether a supplement is effective in helping men lose we...

A: Test statistic results:For testing whether a supplement is effective in helping men lose weight or n...

Q: Using the accompanying table of data, blood platelet counts of women have a bell-shaped distribution...

A: In this question, it has been given that blood platelet counts of women have bell shaped distributio...

Q: A population has a mean of 15 and standard deviation of 3. Round the answers to two decimal places a...

A: Let X be the observation. X follows normal distribution with mean μ = 15 and the standard deviation ...

Q: (1) Let x be the age in years of a licensed automobile driver. Let y be the percentage of all fatal ...

A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,...

Q: The government of a large city needs to determine whether the​ city's residents will support the bui...

A: Solution:Reasons for incorrect options:Opinions of other city residents who do not have children in ...

Q: Find the mean, the median, the mode, and the midrange, the range, variance, standard deviation, 65th...

A: Hello there! According to our policies can answer one question . As there are multiple questions in ...

Q: Question b

A: B)The variables whose level are set by the experimenter is called as the factor of an experiment. It...

Q: After you determine the mean annual return, how do you find the standard deviation?

A: Click to see the answer