Question

5. A farmer claims that the average weight of all the watermelons from his farm is 32 lbs with a standard deviation of 14 lbs. The owner of a local grocery store randomly picked 200 watermelons from this farm and the average weight of these watermelons is 34.5 lbs. a. If the store owner wants to test whether the true average weight of the watermelons from this farm is higher than 32 lbs, shall he perform a left-sided, right-sided or two-sided test of significance? Write down the corresponding hypotheses: $H_0$ and $H_a$. b. Shall a $t$-test or $z$-test be conducted in this situation? State your reason. c. Find the value of the test statistic. d. 4 Find the $P$-value of this test, draw your conclusion in the context of this problem at $\alpha$=0.05.

          5.
A farmer claims that the average weight of all the watermelons from his farm is 32 lbs
with a standard deviation of 14 lbs. The owner of a local grocery store randomly picked
200 watermelons from this farm and the average weight of these watermelons is 34.5 lbs.
a. If the store owner wants to test whether the true average weight of the
watermelons from this farm is higher than 32 lbs, shall he perform a left-sided,
right-sided or two-sided test of significance? Write down the corresponding
hypotheses: $H_0$ and $H_a$.
b. Shall a $t$-test or $z$-test be conducted in this situation? State your reason.
c. Find the value of the test statistic.
d. 4
Find the $P$-value of this test, draw your conclusion in the context of this problem
at $\alpha$=0.05.

5.
A farmer claims that the average weight of all the watermelons from his farm is 32 lbs
with a standard deviation of 14 lbs. The owner of a local grocery store randomly picked
200 watermelons from this farm and the average weight of these watermelons is 34.5 lbs.
a. If the store owner wants to test whether the true average weight of the
watermelons from this farm is higher than 32 lbs, shall he perform a left-sided,
right-sided or two-sided test of significance? Write down the corresponding
hypotheses: H0 and Ha.
b. Shall a t-test or z-test be conducted in this situation? State your reason.
c. Find the value of the test statistic.
d. 4
Find the P-value of this test, draw your conclusion in the context of this problem
at α=0.05.

Added by Raul P.

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