Suppose you are testing the hypothesis that the population mean of a normally ditributed random variable is greater than 580. You drawa random sample of 49 observations and you assume to know the population standard deviation to be equal to 45. You calculate the sample mean to be equal to 590. You are further informed that P(Z < 1.555) = 0.9401. What is the p-value of this sample's test statistic, and can you therefore reject the null hypothesis in this instance? O p-value = 0.9401; can reject the null hypothesis at 5% significance O p-value = 0.4700; cannot reject the null hypothesis at 5% significance O p-value 0.0599; cannot reject the null hypothesis at 5% significance O p-value = 0.1198; can reject the null hypothesis at 5% significance

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QUESTION 30
Suppose you are testing the hypothesis that the population mean of a normally ditributed random variable is greater than
580. You draw a random sample of 49 observations and you assume to know the population standard deviation to be equal
to 45. You calculate the sample mean to be equal to 590.
You are further informed that P(Z < 1.555) = 0.9401. What is the p-value of this sample's test statistic, and can you therefore
reject the null hypothesis in this instance?
O p-value = 0.9401; can reject the null hypothesis at 5% significance
O p-value = 0.4700; cannot reject the null hypothesis at 5% significance
O p-value = 0.0599; cannot reject the null hypothesis at 5% significance
O p-value = 0.1198; can reject the null hypothesis at 5% significance
%3D
Transcribed Image Text:QUESTION 30 Suppose you are testing the hypothesis that the population mean of a normally ditributed random variable is greater than 580. You draw a random sample of 49 observations and you assume to know the population standard deviation to be equal to 45. You calculate the sample mean to be equal to 590. You are further informed that P(Z < 1.555) = 0.9401. What is the p-value of this sample's test statistic, and can you therefore reject the null hypothesis in this instance? O p-value = 0.9401; can reject the null hypothesis at 5% significance O p-value = 0.4700; cannot reject the null hypothesis at 5% significance O p-value = 0.0599; cannot reject the null hypothesis at 5% significance O p-value = 0.1198; can reject the null hypothesis at 5% significance %3D
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