sample 1 (M cars) : n1 = 24, X ̄1 = 29.8, s1 = 2.56 sample 2 (J cars) : n2 = 28, X ̄2 = 27.3, s2 = 1.81 (b) Can we conclude, using a .05 level of significance, that the miles-per-gallon (mpg) performance of M cars is greater than the miles-per-gallon performance of J cars? (d) Find the critical values. (e) Rejection region and conclusion. (f) Interpret the results.

sample 1 (M cars) : n1 = 24, X ̄1 = 29.8, s1 = 2.56 sample 2 (J cars) : n2 = 28, X ̄2 = 27.3, s2 = 1.81 (b) Can we conclude, using a .05 level of significance, that the miles-per-gallon (mpg) performance of M cars is greater than the miles-per-gallon performance of J cars? (d) Find the critical values. (e) Rejection region and conclusion. (f) Interpret the results.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 1GP

See similar textbooks

Related questions

Q: A manufacturer of flashlight batteries claims that the average life of her batteries is larger than…

A: a) H0: µ = 400 Ha: µ > 400 This is right tailed test. Using calculator, X̅ = 473.4615 , S =…

Q: 16. Random samples of 200 bolts manufactured by machine A and 100 bolts manufactured by machine B…

A: We have given that Sample sizes n1=200 , n2=100 Favorable cases x1=19 , x2=5

Q: You are testing the null hypothesis that there is no relationship between two variables, X and Y.…

A: Obtain the value of the test statistic. The value of the test statistic is obtained below as…

Q: A simple random sample of size n 200 drivers with a valid driver's license is asked if they drive an…

A: Solution: Given information: n= 200 Sample size of drivers x = 122 drivers drive an American made…

Q: A sample of 10 diesel trucks were run both hot and cold to estimate the difference in fuel economy.…

Q: Recent incidents of food contamination have caused great concern among consumers. The article “How…

A: What is asked in the question is power of the test which is given by Power = 1-beta

Q: You are testing the null hypothesis that there is no relationship between two variables, X and Y.…

A: FORMULA : F = MSR/MSE

Q: In a simple random sample of 24 small business owners, 20 said that hiring college graduates makes…

A: Given, Sample size = n = 24 Number of business owners who said said hiring college graduates makes…

Q: A new drug for pain relief is being tested within a given palliative care population. The new drug…

A: The null and alternative hypothesis is given below: Null hypothesis: H0: There is no significant…

Q: new drug for pain relief is being tested within a given palliative care population. The new drug is…

A: score Rank 1 1.5 3 5.5 3 5.5 4 8 6 9 1…

Q: It is believed that a sweetener called xylitol helps prevent ear infections. In a randomized…

Q: As a researcher for the EPA, you have been asked to determine if the air quality in the United…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: a) Find t. (Give your answer correct to two decimal places.)

A: n = 44, Σd = 224, Σd2 = 6268 The mean is given by The standard deviation is given by

Q: Imagine that your null hypothesis is μ = 16 and your alternative hypothesis is μ ≠ 16 for a…

A: It is given that the test is two-tailed. Level of significance is 0.05 Degrees of freedom is 19–1…

Q: Suppose we take a random sample from a population with mean u and variance o?. Let X1 and X2 be the…

Q: In the ANOVA results table for a 2' experiment, the P-value for the sample F-ratio of interaction AB…

A: Given that in ANOVA result table for a 23 experiment, the p value for the sample F-ratio of…

Q: You are conducting a study to determine if there is a significant difference between average adult…

A: Solution: State the hypotheses. Null hypothesis: That is, there is no significant difference…

Q: A large national union claims that the proportion of women in the union is significantly different…

A: Denote p as the true proportion of women in the union.

Q: The average length of “short hospital stays” for men is slightly longer than that for women, 5.2…

Q: A random sample of 22 American India Pale Ales (IPAS) was selected and their alcohol by volume (ABV)…

A: Given Information: Sample size n=22 α=0.10 Hypothesized value of population mean μ0=6%=0.06…

Q: Two different methods were used to measure the amount of water (mg/mL) in an organic solvent. The…

A: The table shows the amount of water in an organic solvent.

Q: A manufacturer of flashlight batteries claims that the average life of her batteries is larger than…

A: Given data is342,426,317,545,264,451,1049,631,512,266,492,562,298Mean(x)=sum of the data settotal…

Q: Mr. Mitchell, a famous trainer in the tri-state region, claims that his new fitness training program…

A: Solution: The table showing respondents' weights pre-fitness program and after the program is given.…

Q: In a completely randomized experimental design, three brands of paper towels were tested for their…

A: Anova: Single Factor SUMMARY Groups Count Sum Average Variance x 4…

Q: In a completely randomized experimental design, three brands of paper towels were tested for their…

A: The random variable is ability to absorb water. There are 3 independent samples which are 3 brands…

Q: A famous perfumery house based in the US, Gollum's, recently developed a new scent for women. While…

Q: According to a certain government agency for a large country, the proportion of fatal traffic…

A: Given : p = 0.37 n = 114

Q: A researcher surveyed 500 people. She found that the individuals who took some form of over the…

A: The study is experimental study. In this type of study , the group is subjected to some treatment…

Q: Your null hypothesis is μ = 12 and your alternative hypothesis is μ ≠ 12 for a population with…

A: It is given that the mean is 12, n is 15 and the level of significance is 0.01.

Q: A sample of size 40 provided a test statistict = -1.6. Use a = 0.10. The conclusion is:

Q: Let X be a random sample from Exp(e). a. Find the CRLB for variance of any estimator b. Find CSS. c.…

Q: A random sample of residents from various income brackets were asked their opinion on tax reforn for…

A: b. *: Total for Low: *=26+60+34=120 **: Expected frequency of Against and High:…

Q: Is the proportion of wildfires caused by humans in the south lower than the proportion of wildfires…

A: c. Denote p1, p2 as the true population proportions of wildfires caused by human in south and…

Q: The recidivism rate for convicted sex offenders is 9%. A warden suspects that this percent is…

Q: What are the null and alternative hypotheses? b. What is the critical value? (4 decimal points) c.…

A: Given : For male given data : 623,537,613,588,651,688,526,579,814,878,660,722

Q: A paired t-test requires a. one sample with two observations on each unit in the sample.

A: Dependent samples: Two samples are said to be dependent on each other when values of one sample is…

Q: Are sexually active teenagers any better informed about AIDS and other potential health problems…

A: Consider that, µ1, µ2, and µ3 define the mean number of teens who are sexually inactive, sexually…

Q: 31% of all pygmy softshell toises have stripes on their shells. A herpetologist in Cititon collects…

Q: A new drug for pain relief is being tested within a given palliative care population. The new drug…

A: Solution: Given information: n1= 5 Sample size of old drug n2= 5 Sample size of new drugSum of…

Q: A random sample of 100 freshman showed 6 had satisfed the university mathematics requirement and a…

A: Given data: A random sample = 100 freshman showed = 6 had satisfed the university mathematics…

Q: A new drug for pain relief is being tested within a given palliative care population. The new drug…

A: The given data is as follows:

Q: A paper investigated the driving behavior of teenagers by observing their vehicles as they left a…

A: Sol:- First find the mean and standard deviation for both the data i.e. For male Driver and Female…

Q: Two different methods were used to measure the amount of water (mg/mL) in an organic solvent. The…

A: The data shows the amount of water in an organic solvent.

Q: A researcher wishes to determine whether the blood pressure of vegetarians is, on average, lower…

A: Given Information: Vegetarians: Sample size n1=85 Sample mean x¯1=124.1 Sample standard deviation…

Q: The director of student services at Oxnard College is interested in whether women are just as likely…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Can I use CRONBACH’S ALPHA in testing the reliability of the device? How?

A: CRONBACH's Alpha: It is a measure of internal consistency. Cronbach alpha can be considered as a…

Q: The director of student services at Oxnard College is interested in whether women are just as likely…

A: (a)

Q: In a random sample of 320 cars driven at low altitude, 40 of them exceeded the standard 10 grams of…

A: Solution: It is required to find the test statistic. The formula for finding the test statistic is:…

Q: The director of student services at Oxnard College is interested in whether women are just as likely…

A: The study is to check whether women are just as likely to attend orientation as men before they…

Q: A researcher conducted a SRS of oak trees at two sites: Slot Canyon and Trujillo Gorge. He suspects…

A: It is given that he suspects that the average size of the oak tree population at Trujillo Gorge is…

Question

Specific Motors of Detroit has developed a new automobile known as the M car. 24 M cars and 28 J cars (from Japan) were road tested to compare miles-per-gallon (mpg) performance.

sample 1 (M cars) : n1 = 24, X ̄1 = 29.8, s1 = 2.56

sample 2 (J cars) : n2 = 28, X ̄2 = 27.3, s2 = 1.81

(b) Can we conclude, using a .05 level of significance, that the miles-per-gallon (mpg) performance of M cars is greater than the miles-per-gallon performance of J cars?

(d) Find the critical values.

(e) Rejection region and conclusion.

(f) Interpret the results.

Expert Solution