It is known that driving can be dicult in regions where winter conditions involve snow-covered roads....
It is known that driving can be dicult in regions where winter conditions involve snow-covered roads. For cars equipped with all-season tires traveling at 90 km/hr, the mean stopping time in fresh snow is known to be 215 meters with a standard deviation of 2.5 meters. It is often advocated that automobiles in such areas should be equipped with special tires to compensate for such conditions, especially with respect to stopping distance. A manufacturer of tires made for driving in fresh snow claims that vehicles equipped with their tires have a decreased stopping distance. A study was done using a random sample of 9 snow tires from the manufacturer on a snow-covered test track. The tests resulted in a mean stopping distance of 213.4 meters.
(a) Which type of tests is appropriate here?
A. one-sided B. two sided C. Unable to determine with the information provided.
(b) What are the appropriate null and alternative hypotheses to test the manufacturer’s claim? Fill in the two blanks. H0 : µ =（ ） Ha : µ <（ ）
(c) Using the sample results and assuming that stopping distance is a Normally distributed random variable, what is the value of the test statistic?
A. 0.64 B. 1.92 C. 1.96 D. 0.64 E. 1.92 F. 1.96
(d) What is the p-value?
A. 0.0250 B. 0.0274 C. 0.05 D. 0.0548 E. 0.2611 F. 0.5222
(e) Should the null hypothesis be reject at the significance level of 0.05?
A. Yes B. No C. Unable to determine
(f) Should the null hypothesis be reject at the significance level of 0.01?
A. Yes B. No C. Unable to determine
(g) What is the correct conclusion at the significance level of 0.01?
A. There is enough evidence to say that the sample average is 213.4 meters
B. There is not enough evidence to say that the sample average is 213.4 meters
C. There is enough evidence to say that the population average is 213.4 meters
D. There is not enough evidence to say that the population average is 213.4 meters
E. There is enough evidence to say that vehicles equipped with these tires have a decreased stopping distance.
F. There is not enough evidence to say that vehicles equipped with these tires have a decreased stopping distance.
G. Unable to determine
Homework Answers
If there is any understanding problem regarding this please feel free to ask any doubt in comment box. Thank you.
Add Answer to:
It is known that driving can be dicult in regions where winter
conditions involve snow-covered roads....
It is known that driving can be difficult in regions where winter conditions involve snow-covered roads. For cars equipped with all-season tires traveling at 90 km/hr, the mean stopping distance in f...
It is known that driving can be difficult in regions where winter conditions involve snow-covered roads. For cars equipped with all-season tires traveling at 90 km/hr, the mean stopping distance in fresh snow is known to be 215 meters with a standard deviation of σ = 2.5 meters. It is often advocated that automobiles in such areas should be equipped with special tires to compensate for such conditions, especially with respect to stopping distance. A manufacturer of tires made for...
This question is based on Ch10, but we can solve it using our knowledge from Ch9....
This question is based on Ch10, but we can solve it using our knowledge from Ch9. In Ch 8, we created confidence intervals to test whether the means differed in a statistically significant manner between two independent (unrelated) populations, like males and females. The sample point estimator in the confidence interval was the difference in the sample means between the 2 samples (xbar - ybar). We created a confidence interval of the form: (xbar-ybar) +/- (Zα/2)[standard error of (xbar-ybar)] We...
My Ask You C-reactive protein (CRP) is a substance that can be measured in the blood. Values incr...
My Ask You C-reactive protein (CRP) is a substance that can be measured in the blood. Values increase substantially within & hours of an infection and reach a peak within 24 to 48 hours after. In adults, chronically high values have been linked to an increased risk of cardiovascular disease. In a study of apparently healthy children aged 6 to 60 months in Papua New Guinea, CRP was measured in 90 children. The units are milligrams per liter (mg/l). Here...
these are the only questions i have left can someone help me with these questione please...
these are the only questions i have left can someone help me
with these questione please
An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 130 lb and 171 lb. The new population of pillots has normally duributed weights with a mean of 138 lb and a standard deviation of 25.1 lb. a. If a pilot is randomly selected, find the probability that his weight is between 130 b...
STA2221 examples on CI & Testing of Hypothesis Name MULTIPLE CHOICE. Choose the one alternative that...
STA2221 examples on CI & Testing of Hypothesis Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answer the question Provide an appropriate response. 1) Find the critical value,te for 0.99 and n-10. A) 3.250 B) 3.169 1.833 D) 2.262 2) Find the critical value to forc=0.95 and n=16. A) 2.947 B) 2.602 2120 D) 2.131 3) Find the value of E, the margin of error, for A) 1.69 B) 0.42 0.99, n=16 and s=2.6. C)...
It is known that driving can be difficult in regions where winter conditions involve snow-covered roads. For cars equipped with all-season tires traveling at 90 km/hr, the mean stopping distance in fresh snow is known to be 215 meters with a standard deviation of σ = 2.5 meters. It is often advocated that automobiles in such areas should be equipped with special tires to compensate for such conditions, especially with respect to stopping distance. A manufacturer of tires made for...
My Ask You C-reactive protein (CRP) is a substance that can be measured in the blood. Values increase substantially within & hours of an infection and reach a peak within 24 to 48 hours after. In adults, chronically high values have been linked to an increased risk of cardiovascular disease. In a study of apparently healthy children aged 6 to 60 months in Papua New Guinea, CRP was measured in 90 children. The units are milligrams per liter (mg/l). Here...
these are the only questions i have left can someone help me
with these questione please
An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 130 lb and 171 lb. The new population of pillots has normally duributed weights with a mean of 138 lb and a standard deviation of 25.1 lb. a. If a pilot is randomly selected, find the probability that his weight is between 130 b...
STA2221 examples on CI & Testing of Hypothesis Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answer the question Provide an appropriate response. 1) Find the critical value,te for 0.99 and n-10. A) 3.250 B) 3.169 1.833 D) 2.262 2) Find the critical value to forc=0.95 and n=16. A) 2.947 B) 2.602 2120 D) 2.131 3) Find the value of E, the margin of error, for A) 1.69 B) 0.42 0.99, n=16 and s=2.6. C)...
Most questions answered within 3 hours.
-
Which of the following is true?
Select one:
a. The existence of generally accepted accounting principles...
asked 2 minutes ago -
CORPORATE FINANCE
STATEMENT: If the total risk of a stock is high you can
expect the...
asked 1 minute ago -
What are the three characteristics of traditional "neighbor
ethics" that Jonas isolates, and in what respects...
asked 3 minutes ago -
According to the manufacturer of a certain candy, 9% of the
candy produced are red. If...
asked 5 minutes ago -
A rectangular block that is 0.6m wide, 0.6m long and 1.2m high
stands on a horizontal...
asked 12 minutes ago -
3. Assume that a mining company that produces ore sells its
product for $40 per ton....
asked 5 minutes ago -
A near sighted person wears corrective glasses made of a
diverging lens with a focal length...
asked 7 minutes ago -
If a benzene ring has one -CF3 group as a
substituent, will the next substituent add...
asked 11 minutes ago -
You work for several accountants who are hosting a public
seminar on recent changes to tax...
asked 24 minutes ago -
A Eucher Deck consists of 24 cards. In a four- player game, each
player is dealt...
asked 22 minutes ago -
Describe and draw the mechanism for the formation of the
Grignard reagent with 2-bromopropane as the...
asked 36 minutes ago -
Write which type of radiation (alpha, beta, gamma, or positron)
matches the following
descriptors. Each type...
asked 35 minutes ago