A pharmaceutical company has developed a drug that is expected to reduce hunger. To test the drug, three samples of rats are selected with n=9 in each sample. The first sample receives the drug every day. The second sample is given the drug once a week, and the third sample receives no drug at all (the control group). These assignments of drugs are called treatments. The (dependent) variable being compared is the amount of food eaten by each rat over a 1-month period. These data are analyzed by an ANOVA, and the results are reported in the following summary table. How many groups (or population means or treatments) are being compared in this problem? _________ (Enter a whole number) What is the total number of data used in this problem? _________(Enter a whole number) Fill in all missing values in the table. (Hint: Start with the df column and your above answers.) If there are decimal places in your answer, provide 2 or more decimal places. Source of Variation SS df MS F Between 2.75 Within 2.99 TOTAL Use the =F.DIST.RT() function in Excel to locate the p-value for this ANOVA: p-value = _______ Report answer accurate to at least 4 decimal places.
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.
A pharmaceutical company has developed a drug that is expected to reduce hunger. To test the drug, three samples of rats are selected with n=9 in each sample.
The first sample receives the drug every day. The second sample is given the drug once a week, and the third sample receives no drug at all (the control group). These assignments of drugs are called treatments.
The (dependent) variable being compared is the amount of food eaten by each rat over a 1-month period. These data are analyzed by an ANOVA, and the results are reported in the following summary table.
- How many groups (or population means or treatments) are being compared in this problem? _________ (Enter a whole number)
- What is the total number of data used in this problem? _________(Enter a whole number)
- Fill in all missing values in the table. (Hint: Start with the df column and your above answers.)
If there are decimal places in your answer, provide 2 or more decimal places.Source of Variation SS df MS F Between 2.75 Within 2.99 TOTAL - Use the =F.DIST.RT()
function in Excel to locate the p-value for this ANOVA:
p-value = _______
Report answer accurate to at least 4 decimal places.
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