em #5: A researcher wanted to test if the median amount of cereal in all ABC Company cereal boxes is less than the advertised 16 grams A random sample of $n = 8$ boxes yielded. Cereal (grams) 13 14 14 13 15 17 15 16 a.) Compute the $p$ value b.) Rework a.) using $M \approx N \left( \mu = \frac{n}{2}, \sigma^2 = \frac{n}{4} \right)$ c.) Suppose the two 13 and the two 14 observations were switched to 15's. How would the $p$ value of the test be impacted?
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QUESTION 4 The probability that a sample average equal or greater to the one that occurred a. alpha b. beta c. critical value d. p value QUESTION 19 A cereal company claims the average weight of a box of their cereal is 18.00 ounces. A quality control technician must test to see if the average weight is different. A sample of 2500 boxes of the cereal are analyzed and yield an average weight of 17.99 ounces with a standard deviation of .04 ounces. The alternative hypothesis for this problem is that mu a. equals 18 b. equals 17.99 c. not equal to 18 d. not equal to 17.99 QUESTION 12 If a population is not normally distributed, what must be true in order to do a t-test for mu, using a sample average? a. x-bar is greater than or equal to 30 b. the sample is normal c. n is greater than or equal to 30 d. n is less than 30
Madhur L.
1. Does an average box of cereal contain 358 grams of cereal? A random sample of 25 boxes showed 348. The company has specified σ to be 15 grams, normal distribution. Test at the α = 0.01 level. 2. Does an average box of cereal contain more than 368 grams of cereal? A random sample of 49 boxes showed sample mean = 360. The company has specified σ to be 15 grams and the distribution to be normal. Test at the α = 0.05 level. 3. Does an average box of cereal contain less than 378 grams of cereal? A random sample of 64 boxes showed sample mean = 372. The company has specified sample standard deviation σ to be 15 grams and the distribution to be normal. Test at the α = 0.10 level. 4. Does an average box of cereal contain less than 378 grams of cereal? A random sample of 64 boxes showed mean = 370. The company has specified σ to be 15 grams and the distribution to be normal. Test at the α = 0.10 level. 5. Does an average box of cereal contain less than 378 grams of cereal? A random sample of 64 boxes showed mean = 370. The company has specified σ to be 15 grams and the distribution to be normal. Test at the α = 0.10 level.
Adi S.
A cereal manufacturer is concerned that the boxes of cereal not be under filled or overfilled. Each box of cereal is supposed to contain 13 ounces of cereal. A random sample of 31 boxes is tested. The average weight is 12.58 ounces and the standard deviation is 0.25 ounces. Calculate the test statistic to test these hypotheses. a. Specify the null and alternative hypotheses. b. Calculate the value of the test statistic. (Round to two decimal places) c. What is the p-value? (Round to four decimal places) d. At a 5% significance level, the decision is to
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