Test at significance level 5% if the following data fits a normal distribution. 67.4 81.8 106.5 53.5 122.8 71.6 71.4 73.1 100.5 63.9 74.6 72.5 81.1 115.8 47.9 68.1 55.3 61.2 78.9 61.1 86.0 51.3 74.1 77.8 92.5 46.2 75.1 56.5 63.2 57.1 62.2 70.2 113.2 76.4 109.6 74.1 86.2 76.0 78.8 59.5 53.9 69.8 104.2 101.6 60.1 108.3 84.8 70.8 47.3 72.4 66.7 45.6
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- For the standard normal distribution, find the z-scores that enclose the middle 92% of the data. a. (-1.34, 1.34) b. (-2.03, 2.03) c. (-1.75, 1.75) d. (-1.04, 1.04)Which statement accurately describes the proportions in the tails of a normal distribution? The proportion in the left-hand tail is smaller than the proportion in the right-hand tail. O Proportions in both the left-hand and right-hand tails tend to be relatively large. OProportions in both tails are the same., O Proportions in both tails are negative.Review the plotted data distribution for these 1,000 means. Does this approximate a Normal distribution? Does this confirm the first part of the central limit theorem? Why or why not? Dataframe of 1000 sample means means 0 572.06 1 498.30 2 443.78 3 462.06 4 577.50 .. ... 995 462.46 996 440.42 997 418.64 998 493.66 999 407.42 [1000 rows x 1 columns]
- 4.21. The following sample data was obtained. What is the expected ±3 sigma spread of the process, assuming normal distribution? 16.21 16.23 16.16 16.14 16.16 16.16 16.11 16.08 16.16 16.18 16.15 16.15 16.20 16.18 16.13 16.14 16.17 16.22 16.15 16.15 16.14 16.20 16.20 16.13 a. 16.158±0.108 b. 16.200 0.072 c. 16.173 ± 0.036 d. 16.158 1.080 4.22. A distribution for time-to-failure processes characterized by a failure rate that does not vary with time is: a. Weibull b. Gemma 16.10 16.13 16.17 16.10 16.17 16.18 c. Lognormal d. Exponential 4.23. Which of the following indicates an out-of- control condition? 4.25. In the binomial expression: a. A trend of 5 points in an upward or downward direction b. 5 consecutive points either above or below the center line c. 2 of 3 consecutive points outside the 2- sigma warning limits d. No points outside the 3-sigma limits a. 125 hours b. 22 hours c. 27 hours d. hours 4.24. A reliability test was terminated after a combined total of 171 device-hours…On average, a banana will last 6.1 days from the time it is purchased in the store to the time it is too rotten to eat. Is the mean time to spoil greater if the banana is hung from the ceiling? The data show results of an experiment with 13 bananas that are hung from the ceiling. Assume that that distribution of the population is normal. 7.4, 7.5, 7.9, 5.7, 5.9, 8.1, 4.8, 8.7, 6.8, 5.9, 8.2, 5.1, 5.1 What can be concluded at the the αα = 0.10 level of significance level of significance? For this study, we should use Correct The alternative hypothesis would be: H1:H1: Correct Correct Correct The test statistic Correct = (please show your answer to 3 decimal places.) Based on this, we should Correct the null hypothesis. Thus, the final conclusion is that ...Find the 10 % trimmed mean of the following data. If necessary, round to one more decimal place than the largest number of decimal places given in the data. Rate of Fatal Alcohol Impaired Car Crashes per 100 Million Vehicle Miles of Travel 0.45 0.61 0.29 0.33 0.38 0.44 0.54 0.54 0.58 0.60 0.47 0.65 0.47 0.49 0.71 0.72 0.50 0.50 0.76 0.76 0.78 Copy Data
- Do college students enjoy playing sports just as much as watching sports? A researcher randomly selected ten college students and asked them to rate playing sports and watching sports on a scale from 1 to 10 with 1 meaning they have no interest and 10 meaning they absolutely love it. The results of the study are shown below. Playing Vs. Watching Sports Play 8 8 5 2 10 4 9 9 2 7 Watch 10 6 8 8 10 4 10 10 4 8 Assume a Normal distribution. What can be concluded at the the αα = 0.01 level of significance level of significance? For this study, we should use Select an answer z-test for the difference between two population proportions t-test for a population mean t-test for the difference between two independent population means z-test for a population proportion t-test for the difference between two dependent population means The null and alternative hypotheses would be: H0:H0: Select an answer μ1 p1 μd Select an answer < ≠ = > Select an answer p2 0 μ2 (please…The January mean number of sunspots is recorded for a sequence of recent Januaries. 51.2 38.2 19.4 15.9 17.6 28.7 110.5 121.1 104.1 111.4 9.8 61.1 43.4 27.1 18.6 8.7 16.1 57.6 Use level of significance 5% to test for randomness about the median. Interpret the results. Find the sample test statistic R, the number of runs. R = Find the upper and lower critical values in Table 10 of Appendix II. C1 = C2 =what proportation of a normal distribution is located between each of the following z-score boundaries? a. z=-1.64 and z=+1.64 b. z=-1.96 and z=+1.96 c. z=-1.00 and z=+1.00
- How much noisier are streets where cars travel faster? An article reports noise levels in decibels and average speed in kilometers per hour for a sample of roads. The following table presents the results. Speed 28.26 Noise 78.1 36.22 79.6 38.73 81.0 29.07 78.7 30.28 78.6 30.25 78.2 29.03 33.17 78.4 79.6 Find a 95% prediction interval for the mean noise level for streets whose average speed is 30 kilometers per hour. (Round the final answers to three decimal places.) The 95% prediction interval for the mean is (2 Use the table below to find the percentage of data items in a normal distribution that lie a. below and b. above a z-score of −0.85. z-score -1.00 -0.95 -0.90 -0.85 -0.80 -0.75 -0.70 Percentile 15.87 17.11 18.41 19.77 21.19 22.66 24.20 z-score -0.65 -0.60 -0.55 -0.50 -0.45 -0.40 -0.35 Percentile 25.78 27.43 29.12 30.85 32.64 34.46 36.32 z-score -0.30 -0.25 -0.20 -0.15 -0.10 -0.05 0.00 Percentile 38.21 40.13 42.07 44.04 46.02 48.01 50.00 a. The percentage of data items that lie below the z-score is ______%. b. b. above a z-score of −0.85: ________.Read the z statistic from the normal distribution table. For a one-tailed test (lower tail) using a = 0.1685, z = -0.96 -1.54. 0.9554 -1.645.