The manufacturer of a new compact car claims the miles per gallon (mpg) for the gasoline...

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 27.4 mpg and a standard deviation of 12.3 mpg. If 30 such cars are tested, what is the probability the average mpg achieved by these 30 cars will be greater than 28?

Expert Solution

orchestra answered 2 years ago

A car manufacturer claims that the miles per gallon (mpg) of all its midsize cars can...

A car manufacturer claims that the miles per gallon (mpg) of all its midsize cars can be modeled with a normal model with N(33, 1.70). What proportion of cars have miles per gallon less than 31.2 [P(x ≤31.2 mpg)]? What proportion of cars will have miles per gallon greater than 36 [P(x ≥36 mpg)]? What proportion of cars will have miles per gallon less than 30[P(x ≤30 mpg)]? What proportion of cars will have miles per gallon between 32 and...

An automobile manufacturer claims that their leading compact car averages 36 mpg in the city. The...

An automobile manufacturer claims that their leading compact car averages 36 mpg in the city. The population standard deviation is 8 mpg for city driving. Suppose a city police department purchases 64 cars from this auto manufacturer. If these cars were driven exclusively under city conditions and averaged 34 mpg, can one argue that the manufacturer's claim is too high at 5% a. State the null and alternative hypothesis b. Determine and draw the hypothesis test model (Label everything) c....

Your car gets 22 miles per gallon (MPG) at 55 miles per hour (MPH) and 18...

Your car gets 22 miles per gallon (MPG) at 55 miles per hour (MPH) and 18 MPG at 65 MPH. At what speed should you make a 450-mile trip 1. If gas costs $2.95 per gallon and your time is worth $17/hour? 2. If gas costs $3.80 per gallon and your time is worth $11.5/hour? 3. If gas costs $4.75 per gallon and your time is worth $8.9/hour? 4. Building an Excel spreadsheet to calculate the total trip cost for...

Your car gets 25 miles per gallon (mpg) at 60 miles per hour (mph) and 18...

Your car gets 25 miles per gallon (mpg) at 60 miles per hour (mph) and 18 mpg at 70 mph. At what speed should you make a 600-mile trip: 1. If gas costs $3 per gallon and your time is worth $12 per hour? 2. If gas costs $4 per gallon and your time is worth $15 per hour? 3. If gas costs $5 per gallon and your time is worth $10 per hour? 4. Build a spreadsheet to calculate...

Your car gets 29 miles per gallon (mpg) at 60 miles per hour (mph) and 25...

Your car gets 29 miles per gallon (mpg) at 60 miles per hour (mph) and 25 mpg a 70 mph. At what speed should you make a 525-mile trip: If gas costs $3 per gallon and your time is worth $18 per hour If gas costs $4 per gallon and your time is worth $12 per hour If gas costs $5 per gallon and your time is worth $9 per hour

An automobile manufacturer claims that the new model gets an average of 30 miles per gallon...

An automobile manufacturer claims that the new model gets an average of 30 miles per gallon on the highway, with a standard deviation of 5 miles. However, when a consumer group drove 100 cars on the highways. the group found the average mileage was 28.5 miles. what can the consumer group assert with 99% confidence? check your answer with the p-value test?

An automobile manufacturer claims that their jeep has a 34.7 miles/gallon (MPG) rating. An independent testing...

An automobile manufacturer claims that their jeep has a 34.7 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this jeep. After testing 250 jeeps they found a mean MPG of 35.0. Assume the standard deviation is known to be 1.6. Is there sufficient evidence at the 0.02 level that the jeeps have an incorrect manufacturer's MPG rating? Step 4 of 5: Enter the decision rule.

An automobile manufacturer claims that their van has a 45.945.9 miles/gallon (MPG) rating. An independent testing...

An automobile manufacturer claims that their van has a 45.945.9 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this van. After testing 1111 vans they found a mean MPG of 45.745.7 with a variance of 2.892.89. Is there sufficient evidence at the 0.0250.025 level that the vans underperform the manufacturer's MPG rating? Assume the population distribution is approximately normal. Step 1 of 5: State the null and alternative hypotheses. Step 2 of 5:...

An automobile manufacturer claims that their van has a 45.9 miles/gallon (MPG) rating. An independent testing...

An automobile manufacturer claims that their van has a 45.9 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this van. After testing 11 vans they found a mean MPG of 45.7 with a variance of 2.89. Is there sufficient evidence at the 0.025 level that the vans underperform the manufacturer's MPG rating? Assume the population distribution is approximately normal. Step 1 of 5: State the null and alternative hypotheses. Step 2 of 5:...

An automobile manufacturer claims that their van has a 46.4 miles/gallon (MPG) rating. An independent testing...

An automobile manufacturer claims that their van has a 46.4 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this van. After testing 140 vans they found a mean MPG of 46.0. Assume the standard deviation is known to be 2.6. Is there sufficient evidence at the 0.02 level that the vans underperform the manufacturer's MPG rating? Step 2 of 5: Enter the value of the z test statistic. Round your answer to two...

Question