a. (-0.049,1.763). b.(-0.251,1.965). Oc. (-0.506,2.220). Od.(-0.696,2.410). Oe. cannot be determined by the information provided. QUESTION 11 Which of the following is the correct interpretation of the 95% confidence interval estimation? O a. Through random sampling of the same size, multiple confidence intervals may be constructed. We expect 95% of the confidence intervals to contain Mul - Mu2. Ob. Through random sampling, multiple confidence intervals may be constructed. We expect 95% of the confidence intervals to contain Mul - Mu2. Oc. Through sampling of the same size, multiple confidence intervals may be constructed. We expect 95% of the confidence intervals to contain Mul - Mu2. O d. Through random sampling of the same size, multiple confidence intervals may be constructed. We expect 95% of the confidence intervals to contain (-0.251,1.965).
Addition Rule of Probability
It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.
Expected Value
When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known as the expectation, is denoted by: E(X).
Probability Distributions
Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosing a card. Each of these events has multiple possibilities. Every such possibility is measured with the help of probability. To be more precise, the probability is used for calculating the occurrence of events that may or may not happen. Probability does not give sure results. Unless the probability of any event is 1, the different outcomes may or may not happen in real life, regardless of how less or how more their probability is.
Basic Probability
The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the probability value 1 indicates that the event will occur. Sum of the probability value must be 1. The probability value is never a negative number. If it happens, then recheck the calculation.
Answer question 10 and 11 only
![c. Rejection region.
Od.P-value.
e. No error has been committed.
QUESTION 10
The 95% confidence interval for estimating the difference in the actual average number of oil changes by the owners of new cars and owners of older cars
is:
a. (-0.049,1.763).
O b. (-0.251,1.965).
O c. (-0.506,2.220).
d. (-0.696,2.410). -
e. cannot be determined by the information provided.
QUESTION 11
Which of the following is the correct interpretation of the 95% confidence interval estimation?
O a. Through random sampling of the same size, multiple confidence intervals may be constructed. We expect 95% of the confidence intervals to contain
Mul - Mu2.
b. Through random sampling, multiple confidence intervals may be constructed. We expect 95% of the confidence intervals to contain Mul - Mu2.
c. Through sampling of the same size, multiple confidence intervals may be constructed. We expect 95% of the confidence intervals to contain Mul -
Mu2.
d. Through random sampling of the same size, multiple confidence intervals may be constructed. We expect 95% of the confidence intervals to contain
(-0.251,1.965).
e. none of the above is a correct interval estimation interpretation.
QUESTION 12
Click Sae and Suhmit to saue and suhmit Click Saua A](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa1dc86f2-dd48-472a-9bcb-0b065197dad1%2Faa8113dc-9939-483b-910d-a253687f97c9%2F9sgg36_processed.jpeg&w=3840&q=75)
![Remaining Time: 10 minutes, 22 seconds.
¥ Question Completion Status:
STAT1000E2twopopS2021.pdf
The owner of a service station wants to determine if owners of new cars (two years old or less) change their car's oil more frequently than owners of
older cars (more than two years old). From his records he takes a sample of new cars and a sample of older cars and determines the number of times the
oil was changed in the last 12 months. The data is as follows and the attached printout is provided for your use.
New : 4, 3, 3, 2, 4, 3, 2
Old : 4, 2, 1, 2, 3, 2, 1
At 5% level of significance, Do these data allow the service manager to conclude that new car owners change their car's oil, on the average, more
frequently than older car owners?
O a. There is not sufficient evidence to conclude that new car owners change their car's oil, on the average, more frequently than older car owners.
b. There is not sufficient evidence to conclude that new car owners change their car's oil, on the average, more frequently than older car owners when
in fact such evidence may exist.
Oc. There is sufficient evidence to conclude that new car owners change their car's oil, on the average, more frequently than older car owners when in
fact such evidence may not exist.
d. There is sufficient evidence to conclude that new car owners change their car's oil, on the average, more frequently than older car owners.
e. The significance level here does not provide enough information to make a conclusion.
QUESTION 9
What type of error is possible?
O a. Type I.
O b. Type II.
c. Rejection region.
O d. P-value.
e. No error has been committed.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa1dc86f2-dd48-472a-9bcb-0b065197dad1%2Faa8113dc-9939-483b-910d-a253687f97c9%2Fw0719na_processed.jpeg&w=3840&q=75)
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