MY NOTES ASK YOUR TEACHER i-/3 Points] DETAILS PODSTAT5 10.E.044. Paint used to paint lines on roads must reflect enough light to be clearly visible at night. Let u denote the true average reflectometer reading for a new type of paint under consideration. A test of Hai H= 20 versus H: u > 20 based on a sample of 11 observations gave t = 3.1. What conclusion is appropriate at each of the following significance levels? (a) a = 0.05 O Reject Ho O Fail to reject Ho (b) a = 0.01 O Reject H. O Fail to reject H. (c) a = 0.001 O Reject Ho O Fail to reject Ho
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.
![r 10: Section 10.4 - AM X
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DETAILS
PODSTAT5 10.E.044.
MY NOTES
ASK YOUR TEACHER
Paint used to paint lines on roads must reflect enough light to be clearly visible at night. Let u denote the true average reflectometer reading for a new type of paint under consideration. A test of
Ho: H = 20 versus H: u > 20 based on a sample of 11 observations gave t = 3.1. What conclusion is appropriate at each of the following significance levels?
(a)
a = 0.05
O Reject H.
O Fail to reject H.
(b)
a = 0.01
O Reject H.
O Fail to reject H.
(c)
a = 0.001
O Reject Ho
O Fail to reject H.
You may need to use the appropriate table in Appendix A to answer this question.
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MY NOTES
ASK YOUR TEACHER
DETAILS
PODSTATS 10.E.045.
2. [-/3 Points]
A certain pen has been designed so that true average writing lifetime under controlled conditions (involving the use of a writing machine) is at least 10 hr. A random sample of 19 pens is selected, the
writing lifetime of each is determined, and a normal probability plot of the resulting data support the use of a one-sample t test. The relevant hypotheses are Ho: H= 10 versus H:H< 10.
(a) If t = -2.2 and a = 0.05 is selected, what conclusion is appropriate?
O Reject
O Fail to reject](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc9819384-7ac8-4a35-b95a-106c2e89eec6%2F72bd101d-57e4-499d-860c-639a5b76c58e%2F4fqewo_processed.jpeg&w=3840&q=75)

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