Which normal distribution curve is the most skewed, according to the following skewness:
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A:
Which
| A | B | C |
| 0.4 | -0.4 | 0.2 |
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- The largest value of a Normal distribution is attained at the: A. Extremes B. Mean C. Variance D. Same value occurs at all pointsA sample of 10 different parts are tested using a low temperature level and another sample of 10 parts is also tested using a high temperature level. The random variable of interest is the shrinkage that occurred in the units, measured in percentage. Assume that the data sets follow the normal distribution. The results are as follows: Low Temperature High Temperature 17.9 21.2 17.6 18.3 20.9 19.8 15.9 16.5 17.8 20.3 20.5 21.3 16.1 20.8 19.7 18.7 16.4 21.5 20.3 17.2 s = 0.9709 a) Compare the variances of the temperatures using a hypothesis test with a significance level of 0.02. Set up the appropriate hypotheses test to check if there is a difference between the variances. b) Compute a 98% two-sided confidence interval on the appropriate parameter to check if there is a difference between the variances. c) Does temperature have an effect on shrinkage? Perform a hypothesis test to prove if there is any difference in the mean shrinkage, considering the conclusion from part a). Use a…Which distribution's height begins low, increases until the middle, and then decreases in a symmetrical manner? 1. uniform 2. normal 3. skewed
- On average, a banana will last 6.7 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 14 bananas that are hung from the ceiling. Assume that that distribution of the population is normal. 7.6, 6.2, 5.7, 7.9, 8.6, 7.9, 6, 6.7, 6.1, 5.8, 8.8, 8.1, 5.4, 5.6 What can be concluded at the the a = 0.01 level of significance level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: Select an answer H1: ? Select an answer c. The test statistic ? (please show your answer to 3 decimal places.) = d. The p-value (Please show your answer to 4 decimal places.) е. The p-valuе is (? f. Based on this, we should | Select an answer the null hypothesis. g. Thus, the final conclusion is that The data suggest the populaton mean is significantly more than 6.7 at a = 0.01, so there is…On average, a banana will last 6.8 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 14 bananas that are hung from the ceiling. Assume that that distribution of the population is normal. 6.8, 6.4, 7.4, 7.5, 9, 7.9, 8.4, 9.5, 7.9, 7.4, 7.5, 9.4, 6.1, 7.4 What can be concluded at the the αα = 0.10 level of significance level of significance? For this study, we should use The null and alternative hypotheses would be: H0:H0: H1:H1: The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is αα Based on this, we should the null hypothesis.A sample of 10 different parts are tested using a low temperature level and another sample of 10 parts is also tested using a high temperature level. The random variable of interest is the shrinkage that occurred in the units, measured in percentage. Assume that the data sets follow the normal distribution. The results are as follows: Low Temperature High Temperature 21.2 17.9 17.6 20.9 18.3 15.9 16.5 19.8 20.3 20.5 17.8 21.3 16.1 18.7 20.8 19.7 16.4 21.5 17.2 20.3 s = 0.9709 a) Compare the variances of the temperatures using a hypothesis test with a significance level of 0.02. Set up the appropriate hypotheses test to check if there is a difference between the variances. b) Compute a 98% two-sided confidence interval on the appropriate parameter to check if there is a difference between the variances. c) Does temperature have an effect on shrinkage? Perform a hypothesis test to prove if there is any difference in the mean shrinkage, considering the conclusion from part a). Use a…
- Jacklyn created a sampling distribution that looks like a normal distribution. Her lead investigator recommended taking a larger sample. What would the new sampling distribution look like if Jacklyn increased the sample size? (choose the correct answer) -neither, they both will have the same shape -narrower (steeper) -becomes more positively skewed -wider (flatter)Suppose the income of workers at your job follows a normal distribution. If you standardize their income, what is P(Z≤0)? a.0.5 b.0 c.more information is needed to answer this question. d.1A construction company that installs drywall wanted to investigate how a person’s age affects how much dry wall they can install in a week. On one hand, it would seem that the younger workers would be able to install more, but it seems that experience would also play a role. Two random samples were taken. Assume the distributions are normal.Dry Wall Results by Age Age 18-21(sheets/week) Age 25-28(sheets/week) 92 104 109 116 93 96 81 104 115 108 109 108 84 116 121 112 94 120 116 108 a) Set up the null and alternative hypotheses to see if there is a difference in the average number of sheets of dry wall that a person can install per week based on age. b) Check the conditions. c) Calculate the test statistic. d) Find the p-value. e) Using α = 0.05, state your conclusion in the context of the problem.
- The following data represent the pH of rain for a random sample of 12 rain dates. A normal probability plot suggests the data could come from a population that is normally distributed. A boxplot indicates there are no outliers. (5.58, 5.72, 4.99, 4.80, 5.02, 4.60, 4.74, 5.19, 4.61, 4.76, 4.56, 5.69) Construct and interpret a 99% confidence interval for the mean pH of rainwater. Select the correct choice below and fill in the answer boxes to complete your choice. (Use ascending order. Round to two decimal places as needed.) A. If repeated samples are taken, 99% of them will have a sample pH of rain water between ______ and ______. B. There is 99% confidence that the population mean pH of rain water is between ______ and ______ C. There is a 99% probability that the true mean pH of rain water is between ______ and ______.Assume that admission test scores all follow a normal distribution. Al took the admission tests in three (3) universities. Here are the results Mean Standard Al's ... University Score Deviation Score A 450 40 510 B 100 20 150 200 30 254 in general, if an applicant's score reaches the top 10%, the applicant qualifies for an academic scholarship. In which university will Al qualify?On average, a banana will last 6.6 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 different if the banana is hung from the ceiling? The data show results of an experiment with 14 bananas that are hung from the ceiling. Assume that that distribution of the population is normal. 7.9, 6, 5.5, 8.1, 7.9, 8.8, 6.6, 8.7, 6.2, 6.3, 8.6, 6.7, 8.5, 9.3 What can be concluded at the the α = 0.01 level of significance level of significance? a. For this study, we should use [t-test for a population mean b. The alternative hypothesis would be: H₁: Hv c. The test statistic d. Based on this, we should Select an answer e. Thus, the final conclusion is that ... Select an answer (please show your answer to 3 decimal places.) the null hypothesis.
