Assignment 4

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Question #7 Part 1

Step 1 (a) Compute the coefficient of variation. Recall that if u represents the population mean and o represents the population standard deviation, then the population coefficient of variation (CV) is defined to be σ CV = - . 100%. Compute the coefficient of variation when u = 450 and o = 9. CV = = = σ LL . 100% 9 100% 100% %

STAT 3128 Homeowrk Section 8.1 - 8.3. Question 1. An article reports the following values for soil heat flux of eight plots covered with coal dust. 34.8 33.7 34.8 35.3 33.3 28.5 18.3 24.6 The mean soil heat flux for plots covered only with grass is 25. Assuming that the heat flux distribution is normal, does the data suggest that the coal dust is effective in increasing the mean heat flux over that for grass? Test the appropriate hypotheses at the significance level 0.05 (a) State the appropriate null and alternative hypotheses. (b) State the distribution of the test statistic and calculate its value. (c) Calculate the p-value or find the critical value for this test. (d) State the conclusion: either reject the null hypothesis or fail to reject the null hypothesis.

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Temperature is used to measure the output of a production process. When the process is in control, the mean of the process is μ = 127.5 and the standard deviation is a = 0.4. (a) Compute the upper and lower control limits if samples of size 6 are to be used. (Round your answers to two decimal places.) UCL = 134.85 X x LCL = 120.15 Construct they chart for this proces

Question 7

Illustratian 19.6. The mean produce of wheat of a sample of 1C0 fields comes to 200 kg. per acre with a standard deviation of l10 kg. Another somple of 150 fields gives the mean at 220 kg with a standard deviation of 12 kg. Assuming the standard deviation of the yield at 10 kg. for the universe, find out if there is significant diffe- rence between the mean yields of the two samples.

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The following data consists of birth weights (pounds) of a sample of newborn babies at a local hospital: k 9.3 8.3 9.1 6.9 7.5 7.7 9.2 7.6 6.8 7.4 SUBMIT QUESTION New T *apid

Radon is a colorless, odorless, invisible gas that seeps into residential homes and has been linked to lung cancer. A generally acceptable safe level of radon is 4 pCi/L.  A radon detection device measures the radon level once per hour at a randomly selected time throughout a one-week period. Then it calculates the mean radon level for the sample of measurements. Based on the sample results, the device performs a test of H0 : µ = 4 versus Ha :  µ > 4, where µ is the true mean radon level. (a) Describe a Type I error.(b) Give a consequence of making a Type I error. (c) Describe a Type II error.(d) Give a consequence of making a Type II error. (e) Which error is more serious?  Why?

Radon is a colorless, odorless, invisible gas that seeps into residential homes and has been linked to lung cancer. A generally acceptable safe level of radon is 4 pCi/L. A radon detection device measures the radon level once per hour at a randomly selected time throughout a one-week period. Then it calculates the mean radon level for the sample of measurements. Based on the sample results, the device performs a test of  H0: µ = 4  Ha: µ > 4 where µ is the true mean radon level.   Give a consequence of making a Type I error.

Approximate the population mean and standard deviation of age for males. By the way, to find the midpoints we are adding vertically and then dividing by 2 (ex: 0+10/2=5, 10+20/2=15).

Task 2 In this dry lab, calculate the average and standard deviation of the following data. Table 2 Trial Time(s) Displacement Velocity(m/s) (m) 2.0 3.0 4.0 5.0 6.0 7.0 8.0 9.0 9. 10.0 10 11.0 11 12.0 1234 5678