For your study on the food consumption habits of teenage males, you randomly sel

Question

For your study on the food consumption habits of teenage males, you randomly select 10 teenage males and ask each how many 12-ounce servings of soda he drinks each day. The results are listed below. At alpha = 0.05, is there enough evidence to support the claim that teenage males drink fewer than three 12-ounce servings of soda per day? Assume the population is normally distributed. 3.4 2.9 2.4 2.1 1.7 3.6 3.5 3.3 3.4 1.1 (a) Write the claim mathematically and identify H_0 and H_a. Which of the following correctly states H_0 and H_a? A. H_0: mu = 3 H_a: mu notequalto 3 B. H_0: mu = 3 H_a: mu > 3 C. H_0: mu greaterthanorequalto 3 H_a: mu 3 H_a: mu lessthanorequalto 3 E. H_0: mu lessthanorequalto 3 H_a: mu > 3 F. H_0: mu = 3 H_a: mu

Explanation / Answer

Hypothesis is option-C

p-value=0.185 as shown below

t Test for Hypothesis of the Mean Data Null Hypothesis                m= 3 Level of Significance 0.05 Sample Size 10 Sample Mean 2.74 Sample Standard Deviation 0.870759566 Intermediate Calculations Standard Error of the Mean 0.275358352 Degrees of Freedom 9 t Test Statistic -0.944224127 Lower-Tail Test Lower Critical Value -1.833112933 p-Value 0.185 Do not reject the null hypothesis

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