The Covallis Reporter claimed in a recent issue that the average assembly time for the new Ford CoolCar is approximately 39 hours. Recently a modification in the assembly procedure was made to reduce the average assembly time of the CoolCar. A systematic random sample of 45 vehicles finds that the average assembly time is 38.5 hours. Experience with the new assembly method indicates that Is there evidence that the new method reduced the assembly time on average? Use a significance level of 0.05 Question of interest: Parameter of interest (notation and description in context): Significance level: State the null and alternative hypotheses. Check the conditions. State each and describe whether they are met. Showing setup/work, calculate a 95% confidence interval for . Write answer in interval notation, including units (if applicable). Write the two-part conclusion for the confidence interval in context (see lecture notes for template). Showing setup/work, calculate the test-statistic: What is the p-value for the test? Is it one-sided or two-sided? Write the two-part conclusion for the hypothesis test in context (see lecture notes for template).
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.
The Covallis Reporter claimed in a recent issue that the average assembly time for the new Ford CoolCar is approximately 39 hours. Recently a modification in the assembly procedure was made to reduce the average assembly time of the CoolCar. A systematic random sample of 45 vehicles finds that the average assembly time is 38.5 hours. Experience with the new assembly method indicates that Is there evidence that the new method reduced the assembly time on average? Use a significance level of 0.05
Question of interest:
Parameter of interest (notation and description in context):
Significance level:
State the null and alternative hypotheses.
Check the conditions. State each and describe whether they are met.
Showing setup/work, calculate a 95% confidence interval for . Write answer in interval notation, including units (if applicable).
Write the two-part conclusion for the confidence interval in context (see lecture notes for template).
Showing setup/work, calculate the test-statistic:
What is the p-value for the test? Is it one-sided or two-sided?
Write the two-part conclusion for the hypothesis test in context (see lecture notes for template).
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