4) lea cast S es enaker estimatesthat the mean gas mileage of all of its luxury

Question

4) lea cast S es enaker estimatesthat the mean gas mileage of all of its luxury sedans is such cars had a mean gas mileage can sample of eight llon wh a standard deviation of 5 miles per gallon. A random = of 23 miles per gall you reject the auto maker's claim 2 A maker of microwave ovens advertises that no more than 10% of its microwaves need repair during the first five years of use. In a random sample of 57 microwaves 5 years old, 8 needed repairs. At the p-value. .04, can you reject the manufacturer's claim? Report A state school administrator says that the standard deviation of SAT verbal scores is 105) A random sample op 14 SAT verbal test scores has a standard deviation of 1 13 At a 1% level of significance, test the administrator's claim. Assume that the population is normally distributed. 7) An employment information service reports that the mean annual salary tu time male workers aged 25 to 34 with a bachelor's degree is $59,482. You doubt the validity of this claim. If a random sample of 12 full-time male workers aged 25 to 34 with a bachelor's degree has a mean salary of $58,581 with a standard deviation of $6500, can you reject the service's claim? Use -.05 and assume the population is ormally distributed n employment intormation service reports that the mean annual salary or Iui

Explanation / Answer

4)

Ho: Mu<25
Ha: Mu>=25

Standard deviation =5
n = 8
Sample mean = 23 miles per gallon

alpha = .05

Z = (Xbar - mu)/(Sigma/sqrt(n))
= (23-25)/(23/sqrt(8))
= -.25

At alpha = .05 we do not reject the null hypothesis as Z our test statistic is not less than the critical value of Z=-1.645 at alpha = .05

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