When you roll a standard number cube once, what is the probability of rolling a number divisible by 3?
2 answers:
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Answer:
The degrees of freedom are given by:
The p value for this case is given by:
And for this case the p value is lower than the significance level so we have enough evidence to reject the null hypothesis and then we can conclude that true mean is higher than 55.
Step-by-step explanation:
Information given
We have the following data: 54 55 58 59 59 60 61 61 62 65
The sample mean and deviation can be calculated with the following formulas:
represent the sample mean
represent the sample standard deviation
sample size
represent the significance level
t would represent the statistic
represent the p value
System of hypothesis
We want to test if the true mean is higher than 55, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
Replacing the info given we got:
(1)
And replacing the info given we got:
The degrees of freedom are given by:
The p value for this case is given by:
And for this case the p value is lower than the significance level so we have enough evidence to reject the null hypothesis and then we can conclude that true mean is higher than 55
Average rate of change from t = 3 to t = 5 =