# Finding the z-value or t-value

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yxq887

Mathematics

### Question Description

For individuals who have not been prescribed Atenolol, the population systolic blood pressure mean is 165 (µ = 165). The 143 individuals who take Atenolol have an average systolic blood pressure of 170, with a sample standard deviation of 21. On the basis of these data, can the researcher conclude that the Atenolol significantly lowers systolic blood pressure?

What is the z-value or t-value you obtained (your test statistic)?

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## Explanation & Answer

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Using the Z value

z=µ-x/ d

where µ is the population mean

x is the sample mean

d is the standard deviation

Ho:The Atenolol intake does not reduce systolic blood pressure

H1:The Atenolol intake reduce systolic blood pressure

z=(170-165)/21

=0.238

Compare the value with z critical at 5% level of significance

z=1.96

Since the z calculated is more than z critical,we reject the null hypothesis and conlcude that  Atenolol intake  reduce systolic blood pressure.

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PuevfchfCebs (153)
UCLA
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