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(Round all intermediate calculations to at least 4 decimal places.) Consider the following hypotheses: H 0 : = 290 H A : 290 The population

(Round all intermediate calculations to at least 4 decimal places.)

Consider the following hypotheses:

H0:= 290

HA: 290

The population is normally distributed with a population standard deviation of 71. UseTable 1.

a.Use a 5% level of significance to determine the critical value(s) of the test.(Round your answer to 2 decimal places.)

Critical value(s)

b-1.Calculate the value of the test statistic with= 300 andn= 85.(Round your answer to 2 decimal places.)

Test statistic

b-2.What is the conclusion at= 0.05?RejectH0since the value of the test statistic is greater than the critical value.RejectH0since the value of the test statistic is smaller than the critical value.Do not rejectH0since the value of the test statistic is greater than the critical value.Do not rejectH0since the value of the test statistic is smaller than the critical value.

c.Use a 1% level of significance to determine the critical value(s) of the test.(Round your answer to 2 decimal places.)

Critical value(s)

d-1.Calculate the value of the test statistic with= 255 andn= 85.(Negative value should be indicated by a minus sign. Round your answer to 2 decimal places.)

Test statistic

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