The average weight of a package of rolled oats is supposed to be at least 18 ounces. A sample of 18 packages shows a mean of 17.78 ounces with a standard deviation of 0.41 ounce. (a) At the 5 percent level of significance, is the true mean smaller than the specification? Clearly state your hypotheses and decision rule.(Multiple Choice)
a. H0: μ ≥ 18. Reject H0 if tcalc > –1.74
b. H1: μ < 18. Reject H1 if tcalc < –1.74
c. H0: μ ≥ 18. Reject H0 if tcalc < –1.74
d. H1: μ < 18. Reject H1 if tcalc > –1.74
(b) If α = .01, we would have:(Multiple Choice)
a. failed to reject the null hypothesis.
b. rejected the null hypothesis.
(c) Use Excel to find the p-value. (Round your answer to 4 decimal places.)
The average weight of a package of rolled oats is supposed to be at least 18 ounces. A sample of ...
A package of rolled oats is labeled as weighing 18 ounces. For quality control, a sample of 14 packages was taken and showed a mean of 17.78 ounces with a standard deviation of 0.38. Using α = 0.01, does the sample show that the average weight is different than the stated weight on the label? (use both methods)
Match the following words to their correct definitions. Write the correct letter in the space next to the definition. (1 point each). Note: You will not use all the words. ______a subset of the population we are interested in studying ______The difference between the sample measure and the corresponding population measure. ______the total set of subjects that are being studied ______The number of standard deviations away from the mean a particular data point is _____ ______A normal distribution with a...
A machine in the student lounge dispenses coffee. The average cup of coffee is supposed to contain 7.0 ounces. A random sample of eight cups of coffee from this machine show the average content to be 7.4 ounces with a standard deviation of 0.70 ounce. Do you think that the machine has slipped out of adjustment and that the average amount of coffee per cup is different from 7 ounces? Use a 5% level of significance. What are we testing...
Required information [The following information applies to the questions displayed below.] A recent national survey found that high school students watched an average (mean) of 6.6 DVDs per month with a population standard deviation of 1.00 hour. The distribution of DVDs watched per month follows the normal distribution. A random sample of 30 college students revealed that the mean number of DVDs watched last month was 6.00. At the 0.05 significance level, can we conclude that college students watch fewer...
The observations from a random sample of n = 6 from a normal population are: 13.15, 13.72, 12.58, 13.77, 13.01, 13.06. Test the null hypothesis of H0:μ=13 against the alternative hypothesis of H1:μ<13. Use a 5% level of significance. Answer the following, rounding off your answer to three decimal places. (a) What is the sample mean? (b) What is the sample standard deviation? (c) What is the test statistic used in the decision rule? (d) Can the null hypothesis be...
It is desired to check the calibration of a scale by weighing a standard 9 g weight 100 times. Let μ be the population mean reading on the scale, so that the scale is in calibration if μ = 9. A test is made of the hypotheses H0 : μ = 9 versus H1 : μ ≠ 9. a. Which of the three conclusions is best if H0 is rejected? b. Which of the three conclusions is best if H0...
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The price to earnings ratio (P/E) is an important tool in financial work. A random sample of 14 large U.S. banks (J. P. Morgan, Bank of America, and others) gave the following P/E ratios.† 24 16 22 14 12 13 17 22 15 19 23 13 11 18 The sample mean is x ≈ 17.1. Generally speaking, a low P/E ratio indicates a "value" or bargain stock. Suppose a recent copy of a magazine indicated that the P/E ratio of...
Total blood volume (in ml) per body weight (in kg) is important in medical research. For healthy adults, the red blood cell volume mean is about μ = 28 ml/kg.† Red blood cell volume that is too low or too high can indicate a medical problem. Suppose that Roger has had seven blood tests, and the red blood cell volumes were as follows. 34 26 42 35 28 37 31 The sample mean is x ≈ 33.3 ml/kg. Let x...
Total blood volume (in ml) per body weight (in kg) is important in medical research. For healthy adults, the red blood cell volume mean is about μ = 28 ml/kg.† Red blood cell volume that is too low or too high can indicate a medical problem. Suppose that Roger has had seven blood tests, and the red blood cell volumes were as follows. 31 24 43 35 32 36 31 The sample mean is x ≈ 33.1 ml/kg. Let x...