W 7. A study was conducted to compare the amount of salt in potato chips. Random samples of three varieties were obtained and the amount of salt in each 1-oz portion of potato chips was recorded. Assume the populations are normally distributed with equal variances. The results are given here: insert rint creen Home Scroll Lock Amount of salt (in mg of sodium) 338, 159, 240, 190 235, 251, 233, 255, 260 BBQ Cheese- flavored Olestra-based lete End Variety 164, 150, 149, 170 a) Identify the explanatory variable. Vane ly of chips b) Identify the response variable. Amouat of salt c) State the appropriate hypotheses to test for a difference in means. d) The appropriate analysis to test for a difference in means would be: a. One-way ANOVA b. Two-way ANOVA c. Three-way ANOVA d. Two-Sample t-test p-valve Mean Squae 9 530. 31154 e) Construct the appropriate ANOVA table. Jource of varatun Sum of Squares df Fac for 19060.6231 1930. 63 19306.3 10 Error Total 38366.9231 12 f) Use the ANOVA table from part b) to test whether there is a difference in the mean amount of salt among the three types of potato chips at the .05 level.
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.
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7. A study was conducted to compare the amount of salt in potato chips. Random samples of
three varieties were obtained and the amount of salt in each 1-oz portion of potato chips was
recorded. Assume the populations are normally distributed with equal variances. The
results are given here:
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creen
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Amount of salt (in mg of sodium)
338, 159, 240, 190
235, 251, 233, 255, 260
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8
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BBQ
Cheese-
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164, 150, 149, 170
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a) Identify the explanatory variable.
Vanety of chips
Insert
b) Identify the response variable.
Amount of salt
c) State the appropriate hypotheses to test for a difference in means.
3
a. One-way ANOVA
b. Two-way ANOVA
c. Three-way ANOVA
d. Two-Sample t-test
d) The appropriate analysis to test for a difference in means would be:
Mean Spare p-valva
Source of varalun Sum of Squares df
Fac for
e) Construct the appropriate ANOVA table.
9 530. 31154
19060.6231
1930. 63
19306.3
f) Use the ANOVA table from part b) to test whether there is a difference in the mean
amount of salt among the three types of potato chips at the .05 level.
Error
12
Tofal
38.366.9231
sed mater
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