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Test the null hypothesis H0:μ=3.2against the alternative hypothesis HA:μ<3.2, based on a random sample of 25...

Test the null hypothesis H0:μ=3.2against the alternative hypothesis HA:μ<3.2, based on a random sample of 25 observations drawn from a normally distributed population with x¯=3 and σ=0.72.

a) What is the value of the test statistic? Round your response to at least 3 decimal places.

b) What is the appropriate p-value? Round your response to at least 3 decimal places.

c) Is the null hypothesis rejected at:

i) the 10% level of significance?

ii) the 5% level of significance?

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