Population standard deviation ,
= 2.5
sample size , n= 16
Sample mean,
= 28
98% confidence interval for the true mean gasoline mileage
=(
)
= (
)
= (
)
= (26.5461, 29.4539)
2. An automobile manufacturer wants to estimate the mean gasoline mileage that its customers will obtain...
A certain model of automobile has its gas mileage (in miles per gallon, or mpg) normally distributed, with a mean of 26 mpg and a standard deviation of 4 mpg. Find the probability that a car selected at random has the following gas mileages. (Round your answers to four decimal places.) (a) less than 20 mpg (b) greater than 28 mpg (c) between 24 and 28 mpg
A researcher wanted to study the effect of a newly developed gasoline additive (Additive X) on automobile mileage (miles per gallon, MPG). To gather information, a random sample of cars has been selected. For each car, the MPG was measured both when gasoline with Additive X is used and when gasoline without Additive X is used. The order of the two treatments (with Additive X versus without Additive X) was randomized and care was taken so that there was no...
The manufacturer of a new compact car claims the miles per gallon (mpg) for the gasoline consumption is mound-shaped and symmetric with a mean of 24.6 mpg and a standard deviation of 9.5 mpg. If 30 such cars are tested, what is the probability the average mpg achieved by these 30 cars will be greater than 28?
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sing the make of a car in at least three of the five families? Use Binomial Table 2. If Z is a standard normal random variable find the following probabilities (Standard Table is in the Appendix and is also posted under Course Document) a. P(ZS-1.77) b. P(-2.88 SZ S-2.15) 3. Studies show that gasoline use for compact cars sold in the United States is normally distributed, with mean use of 25.5 miles per gallon (mpg) and a standard deviation...
22 A consumer organization was concerned that an automobile manufacturer was misleading customers by overstating the average fuel efficiency (measured in miles pel gallon or mpg) of a particular car model. The model was advertised to get 27 mpg. To investigate the researchers selected a random sample of 10 cars of that model. Each car was then randomly assigned a different driver. Each car was driven for 5000 miles and the total fuel consumption was used to compute the mpg...
Under specified conditions, an automobile manufacturer is concerned about the miles per gallon (mpg) of its new compact car. For cars of the same class, the average is 23 with a standard deviation of 5 mpg. To investigate, the manufacturer tested 28 cars in which the average was 19 mpg. What can the car manufacturer conclude with α = 0.05? a) Compute the corresponding effect size(s) and indicate magnitude(s). If not appropriate, input and select "na" below. d = ______...
Problem 5. The mileage of a certain make of car may not be exactly that rated by the manufacturer. Suppose ten cars of the same model were tested for combined city and highway mileages, with the following results: 1 Car No. Observed Mileage 35 40 37 4232 43 38 32 41 34 (mpg) 1 23 4 56 78 9 10 a) Estimate the sample mean and standard deviation of the actual mileage of this particular make of car. Suppose that...
2. The manufacturer of a new model car (Camry) claims that a typical car get 26 miles per gallon. A consumer advocacy group is skeptical of this claim and thinks that the mean gas mileage, , of all Camrys may be less than 26 mpg. The group plans to perform the hypothesis test at a = 0.05, using a sample of 30 Camrys. Ho: u = 26 mpg Hu<26 mpg Find the probability of making a Type II error if...
SAMPLING DISTRIBUTION The manufacturer of a new compact car claims the miles per gallon (mpg) for gasoline consumption is normally distribution with u = 26.3 mpg and standard deviation 6 = 9.0 mpg. A consumer agency is looking to verify the manufacturer's claim. If a sample of 36 cars are tested, what is the probability that the mean mpg 7 is (a) less than 23 mpg? (b) more than 29 mpg? (b) between 23 and 29 mpg?
An automobile manufacturer claims that its van has a 55.955.9 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this van since it is believed that the van has an incorrect manufacturer's MPG rating. After testing 270270 vans, they found a mean MPG of 56.056.0. Assume the standard deviation is known to be 1.11.1. A level of significance of 0.010.01 will be used. State the hypotheses. Enter the hypotheses: