In a lottery game, a single ball is drawn at random from a container that contains 25 identical balls numbered from 1 through 2
1 answer:
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Answer:
The Z score of the person is -3.09.
Step-by-step explanation:
The standard normal deviate (Z) for a normal distribution is given by
where,
X = the value of observation
is mean of the observations and
σ = standard deviation of the score
Applying values we get
Answer:
The degrees of freedom are:
And the p value would be given by:
Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true deviation is different from 8 days.
Step-by-step explanation:
Data given
represent the sample size
represent the confidence level
represent the sample variance obtained
represent the value that we want to test
Hypothesis to test
We want to verify if the true deviation is equal to 8 days o not, so the system of hypothesis would be:
Null Hypothesis:
Alternative hypothesis:
The statistic is given by:
Replacing we got:
The degrees of freedom are:
And the p value would be given by:
Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true deviation is different from 8 days.