One consumer wants to know if the average number of chips is less than 45 in a bag of Red Bird potato chips. A random sample of 100 was selected and the sample statistics werex=41.6 and s = 7.6. (i) What is the standard error of x? (ii) Using one or two sentences, briefly describe the Central Limit Theorem (CLT) for the sample mean. (ii) Does CLT hold for this test? Explain your reasoning. (iv) State the hypotheses for the test. (v) Give a 90% CI (3 d.p.) for the average amount of chips in each bag (The margin of error is 1.262). (vi) Interpret your Cl in part (iv) in context. (vii) Make a decision and conclusion based on your CI in part (v).

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One consumer wants to know if the average number of chips is less than 45 in a bag of Red Bird
potato chips. A random sample of 100 was selected and the sample statistics werex=41.6 and
s = 7.6.
(i)
What is the standard error of x?
(ii)
Using one or two sentences, briefly describe the Central Limit Theorem (CLT) for the
sample mean.
(ii)
Does CLT hold for this test? Explain your reasoning.
(iv)
State the hypotheses for the test.
(v)
Give a 90% CI (3 d.p.) for the average amount of chips in each bag (The margin of
error is 1.262).
(vi)
Interpret your Cl in part (iv) in context.
(vii)
Make a decision and conclusion based on your Cl in part (v).
Transcribed Image Text:One consumer wants to know if the average number of chips is less than 45 in a bag of Red Bird potato chips. A random sample of 100 was selected and the sample statistics werex=41.6 and s = 7.6. (i) What is the standard error of x? (ii) Using one or two sentences, briefly describe the Central Limit Theorem (CLT) for the sample mean. (ii) Does CLT hold for this test? Explain your reasoning. (iv) State the hypotheses for the test. (v) Give a 90% CI (3 d.p.) for the average amount of chips in each bag (The margin of error is 1.262). (vi) Interpret your Cl in part (iv) in context. (vii) Make a decision and conclusion based on your Cl in part (v).
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