A nutritionist claims that the mean tuna consumption by a person is 3.8 pounds p

Question

A nutritionist claims that the mean tuna consumption by a person is 3.8 pounds per year. A sample of 60 people shows that the mean tuna consumption by a 3.3 pounds per year. Assume the population standard deviation is 1.17 pounds. At alpha = 0.06, can you reject the claim? (a) Identify the null hypothesis and alternative hypothesis. A. H_0: mu notequalto 3.3 H_a: mu = 3.3 A. H_0: mu notequalto 3.3 H_a: mu = 3.3 A. H_0: mu notequalto 3.3 H_a: mu = 3.3 B. H_0: mu > 3.8 H_a: mu lessthanorequalto 3.8 C. H_0: mu = 3.8 H_a: mu notequalto 3.8 D. H_0: mu > 3.3 H_a: mu lessthanorequalto 3.3 E. H_0: mu lessthanorequalto 3.8 H_a: mu > 3.8 F. H_0: mu lessthanorequalto 3.3 H_a: mu > 3.3 (b) Identify the standardized text statistic: z =

Explanation / Answer

The statistical software output for this problem is:

One sample Z hypothesis test:
: Mean of population
H0 : = 3.8
HA : 3.8
Standard deviation = 1.17

Hypothesis test results:

Hence,

Standardized test statistic (z) = -3.31

Mean n Sample Mean Std. Err. Z-Stat P-value 60 3.3 0.15104635 -3.3102422 0.0009

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