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Hypothesis test / mean?

One of the major U.S. automakers wishes to review its warranty. The warranty covers the engine, transmission, and drive train of all new cars for up to two years or 24,000 miles, whichever comes first. The manufacturers quality-assurance department believes that the mean number of miles driven by owners is more than 24,000. A sample of 35 cars revealed that the mean number of miles was 24,421, with a standard deviation of 1,944 miles.

(a) Conduct the following hypothesis test. Use the .05 significance level. (Round your answer to 2 decimal places.)
H0:µ ≤ 24,000
H1:µ > 24,000

The test statistic is ?
(b) What is the largest value for the sample mean for which H0 is not rejected?

, to the nearest 50.

(c) Suppose the population mean shifts to 25,000 miles. What is the probability this change will not be detected? (Round your answer to 2 decimal places.)

The probability this change will not be detected is

ANSWER: Conclusion: H0 is true
Why????
SINGLE SAMPLE TEST, ONE-TAILED, 6 - Step Procedure for t Distributions, "one-tailed test"

Step 1: Determine the hypothesis to be tested.
Lower-Tail
H0: μ ≥ μ0 H1: μ < μ0
or
Upper-Tail
H0: μ ≤ μ0 H1: μ > μ0

hypothesis test (lower or upper) = upper

Step 2: Determine a planning value for α [level of significance] =0.05

Step 3: From the sample data determine x-bar, s and n; then compute Standardized Test Statistic: t = (x-bar - μ0)/(s/SQRT(n))

x-bar: Estimate of the Population Mean (statistical mean of the sample) = 24421
n: number of individuals in the sample = 35
s: sample standard deviation = 1944
μ0: Population Mean = 24000
significant digits =3

Standardized Test Statistic t = ( 24421 - 24000 )/( 1944 / SQRT( 35 )) = 1.281

Step 4: Use Students t distribution, 'lookup' the area to the left of t (if lower-tail test) or to the right of t (if upper-tail test) using Students t distribution Table or Excel TDIST(x, n-1 degrees_freedom, 1 tail) =TDIST( 1.281 , 34 , 1 )

Step 5: Area in Step 4 is equal to P value [based on n -1 = 34 df (degrees of freedom)] = 0.104
Table look-up value shows area under the 34 df curve to the right of t = 1.281 is (approx) probability = 0.104

Step 6: For P ≥ α, fail to reject H0; and for P < α, reject H0 with 95% confidence.
Conclusion: H0 is true

Note: level of significance [α] is the maximum level of risk an experimenter is willing to take in making a "reject H0" or "conclude H1" conclusion (i.e. it is the maximum risk in making a Type I error).

Investing Money in Used Car is Beneficial for Saving Money

The luxury lifestyle is part of every person's life and every one want a more and more luxury in their life. A big house, strong bank balance, luxury big brand car, good cloths and all the element which are the part of stylish and luxury lifestyle and every person dream about it these luxury items in their life. But it is not necessary that every person have capability to have this entire luxurious item in their life. The most attractive element is buying a branded and stylish car. Most of the people are very keen to buy a latest brand and luxury models of cars. People are having a craze to buy latest models car. But not everyone can affordable the new car. The one of the best option is to buy a used car or second hand car. Most of the people buy a new brand and model car and then used for some time or years then they sale that car and buy new and latest model. This kind of used car is very good option to save money and affordable for those you are not capable to buy a new car.

Buying a used car can be taken more emphasis over a condition of the car. It requires thought and consideration to get the best buy. Before shopping and buying a new car you must decide on a budget and the criteria for a car take whole information about the car. Buying a used car is not the big hassle now days. We can easily buy used cars of latest models and brands, Cars are more reliable today due to better engine design and construction and configurations. Most used car dealers have a certified authorization of selling of used car and they have license of cars program in operation. The certified program only accepts used cars that meet certain criteria and specifications, and the cars are subject to a thorough inspection and repair process. That way, the buyer is assured of getting a reliable used car and, in most cases, a warranty will be included.If you have decided to buy a used car of your dreams, then first you must do the research the car form available resources and find out all the information avai

lable such as prices, features, specs, configurations, basic information about the model year and working condition along with safety information, and warranty information and most important of all, consumer reviews. Buying a used car should be a pleasant experience and if you do your homework, it will be.  The buying a used car is very cheap and money saving which everyone can easily afford. There are lots of automobile centers and facility to finance and banks also provide a loans There are arguments to be made for buying a car outright, taking out a loan or leasing.It is very good deal to buying a used car can be a money saver on insurance and excise tax. Used cars are certainly less expensive than a new car, which can be an enormous money saver. Even buying a used car a year old is 20 to 30 percent cheaper than a new car. The used car a year or two old may still be under manufacturer's warranty. Before buying a used car, invest in a car history report. So, why not move ahead and enjoy the open benefits of

used car. These days you also get a reliable and excellent deal from certified used car dealers who inspect the car and then sell to you in perfect working condition. The, why spend more if you are getting something more valuable in a lower price.

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Cobra XRS 9445 14 Band Voice Alert Radar/Laser Detector with POP Mode Radar Gun Detection, VG-2 and Spectre1 Undetectability and Alert List Price: $99.99 Sale Price: $74.12 You save: $25.87 (26%)   Eligible for free shipping! Availability: Usually ships in 24 hours See Reviews For This Product Description Amazon.com Product Description The XRS 9445 provides total protection and peace of mind with the Xtreme Range Superheterodyne technology, detecting all 14 radar/laser bands with reliable and proven performance. It comes with the UltraBright Data Display, LaserEye 360 degree detection and much more. Total protection and peace of mind. Spectre I Undetectable Provides complete immunity to Spectre I radar detector-detectors. 14-Band Detection Detects 7 radar, 6 laser and 1 safety signal. Radar signals include X Band, K Band, Ka Superwide, Ku Band, VG-2, Spectre I and Spectre IV+. Laser signals include LTI 20-20, Ultra Lyte, ProLaser, ProLaser III, Stalker LIDAR and Speedlaser. Safety signal is Safety Alert Traffic Warning System. Spectre Alert I/IV+ Alerts user when they are under surveillance of Spectre I/IV+ radar detector-detectors. IntelliMute Pro Relative speed sensing auto shutdown feature will render your detector undetectable by currently available radar detector-detectors. VG-2 Undetectable Provides complete immunity to VG-2 radar detector-detectors. High Performance High performance radar/laser detector with reliable, proven performance. UltraBright Data Display Provides easy recognition of band detected by use of band identification icons. POP Mode Radar Gun Detection Detects the latest POP Mode Radar Gun (Super-fast Instant-On Mode) UltraBright data display provides easy recognition of band detected by use of band identification icons. View controls, indicators and connections. Click to enlarge. Ku Band Detection Detects Ku Band Radar Gun currently being used in Europe. Be prepared for future introduction in the U.S. LaserEye Provides 360-degree detection of laser signals. Voice Alert Warns driver with specific voice annunciation of the signal being detected. VG-2 Alert Alerts the user when they are under surveillance of VG-2 radar detector-detectors. Safety Alert Warns drivers of the presence and/or approaching emergency vehicles, railroad crossing, and road hazard locations equipped with Cobra's exclusive Safety Alert transmitters. Auto Mute Automatically mutes the alert tone for enhanced driver convenience. IntelliMute Relative-speed-sensing Auto Mute system that virtually elminates false alerts. Digital Signal Strength Meter Provides the driver with relative proximity to the target using 5-level digital signal strength meter. City/Highway Modes Allows the user to select operating mode, reducing the frequency of falsing in densely polulated urban areas. Dim Mode Allows the user to dim the radar detector display enhancing night driving visibility. Stay Set Electronic Memory Electronically remembers radar detector settings for an indefinite period of time even with the power removed. What's in the Box XRS 9445 Detector Unit, Straight 12V DC Power Cord, Windshield Mounting Bracker with suction cups, Instruction manual Features 14-Band detection--detects 7 radar, 6 laser and 1 safety signal UltraBright data display provides easy recognition of band detected by use of band identification icons Provides complete immunity to VG-2 and alerts for Spectre I/IV radar detector-detectors LaserEye provides 360-degree detection of laser signals One-year limited warranty