Question

The manufacturer of a refrigerator system produces refrigertors that are supposed to maintain a mean temperature...

The manufacturer of a refrigerator system produces refrigertors that are supposed to maintain a mean temperature of 48F. A customer does not agree with the manufacturer and claims that the refrigerators are not maintaining the advertized temperature.

(a) (2 points) What are the appropriate null and alternative hypotheses to test the manufacturer’s claim? A. H0 : µ < 48, Ha : µ > 48 B. H0 : µ 6= 48, Ha : µ = 48 C. H0 : µ = 48, Ha : µ > 48 D. H0 : µ = 48, Ha : µ < 48 E. H0 : µ = 48, Ha : µ 6= 48 F. None of the above

(b) (1 point) Suppose a random sample of 35 refrigerators from this manufacturer were inspected and an average temperature of 49F was found. Assume the standard deviation of temperatures maintained by this type of refrigerators is 2. Find the value of the test statistic? A. 2.96 B. 0.5 C. 1.96 D. 0.5 E. 2.96 F. None of the above

(c) (1 point) What is the p-value? A. 0.0250 B. 0.3085 C. 0.05 D. 0.0015 E. 0.0030 F. None of the above

(d) (2 points) Should the null hypothesis be reject at the significance level of 0.05? A. Yes B. No C. Unable to determine

(e) (4 points) What is the correct conclusion at the significance level of 0.05? A. There is enough evidence to say that the sample average is 49F. B. There is enough evidence to say that the population average is 49F. C. There is not enough evidence to say that the population average is 49F. D. There is enough evidence to say that refrigerators produced by this manufacturer are not maintaining the advertized temperature. E. There is not enough evidence to say that refrigerators produced by this manufacturer are not maintaining the advertized temperature. F. Unable to determine

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

a)

null hypothesis:Ho μ = 48
Alternate Hypothesis:Ha μ ≠ 48

b)

population mean μ= 48
sample mean 'x̄= 49.000
sample size    n= 35.00
std deviation σ= 2.000
std error ='σx=σ/√n= 0.3381
test stat z = '(x̄-μ)*√n/σ=   2.960

c)

p value        = 0.0030

d)

A. Yes , since p value <0.05

e_)

D. There is enough evidence to say that refrigerators produced by this manufacturer are not maintaining the advertized temperature.

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