Question

Six samples of each of four types of cereal grain grown in a certain region were analyzed to determine thiamin content, resulting in the following data (µg/g). Wheat 5.3 4.5 6.0 6.2 6.7 5.8 Barley 6.4 8.0 6.1 7.6 6.0 5.7 Maize 5.8 4.8 6.5 4.9 6.1 5.1 Oats 8.3 6.0 7.9 6.9 5.5 7.2 USE SALT Does this data suggest that at least two of the grains differ with respect to true average thiamin content? Use a level $\alpha$ = 0.05 test. State the appropriate hypotheses. $H_0: \mu_1 \neq \mu_2 \neq \mu_3 \neq \mu_4$ $H_a$: at least two $\mu_i$'s are equal $H_0: \mu_1 = \mu_2 = \mu_3 = \mu_4$ $H_a$: all four $\mu$'s are unequal $H_0: \mu_1 \neq \mu_2 \neq \mu_3 \neq \mu_4$ $H_a$: all four $\mu$'s are equal $H_0: \mu_1 = \mu_2 = \mu_3 = \mu_4$ $H_a$: at least two $\mu_i$'s are unequal Compute the test statistic value. (Round your answer to two decimal places.) f = X

          Six samples of each of four types of cereal grain grown in a certain region were analyzed to determine thiamin content, resulting in the following data (µg/g).
Wheat 5.3 4.5 6.0 6.2 6.7 5.8
Barley 6.4 8.0 6.1 7.6 6.0 5.7
Maize 5.8 4.8 6.5 4.9 6.1 5.1
Oats 8.3 6.0 7.9 6.9 5.5 7.2
USE SALT
Does this data suggest that at least two of the grains differ with respect to true average thiamin content? Use a level $\alpha$ = 0.05 test.
State the appropriate hypotheses.
$H_0: \mu_1 \neq \mu_2 \neq \mu_3 \neq \mu_4$
$H_a$: at least two $\mu_i$'s are equal
$H_0: \mu_1 = \mu_2 = \mu_3 = \mu_4$
$H_a$: all four $\mu$'s are unequal
$H_0: \mu_1 \neq \mu_2 \neq \mu_3 \neq \mu_4$
$H_a$: all four $\mu$'s are equal
$H_0: \mu_1 = \mu_2 = \mu_3 = \mu_4$
$H_a$: at least two $\mu_i$'s are unequal
Compute the test statistic value. (Round your answer to two decimal places.)
f = X

six samples of each of four types of cereal grain grown in a certain region were analyzed to determine thiamin content resulting in the following data gg wheat 53 45 60 62 67 58 barley 64 80 92894

Added by Lisa P.

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