the mean and standard deviation of a population are 200 and 20 respectively. suppose the sample size of 36 are drawn. what is the mean of the sampling distribution
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- The average final exam score for the statistics course is 77%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is different. The final exam scores for the 13 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 77, 91, 64, 96, 96, 75, 74, 78, 84, 98, 78, 80, 74 What can be concluded at the the a = 0.10 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 ? ✓ = d. The p-value = e. The p-value is ? ✓ a f. Based on this, we should [Select an answer the null hypothesis. (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.)A normal population has a mean of $95 and standard deviation of $14. You select random samples of 50. what is the standard error of the sampling distribution of sample means?The average final exam score for the statistics course is 81%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is higher. The final exam scores for the 16 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 81, 81, 96, 78, 92, 94, 87, 92, 75, 87, 69, 98, 68, 95, 98, 92 What can be concluded at the the a = 0.05 level of significance level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Но: Select an answer v H1: ? v Select an answer v C. The test statistic ? v = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? v f. Based on this, we should Select an answer ♥ the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the populaton mean is significantly higher than…
- The average final exam score for the statistics course is 82%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is lower. The final exam scores for the 14 randomly selected students who were given the colored pens are shown below. ASsume that the distribution of the population is normal. 92, 81, 89, 76, 64, 63, 83, 83, 59, 56, 63, 56, 84, 62 What can be concluded at the the a = 0.01 level of significance level of significance? a. For this study, we should use t-test for a population mean b. The null and alternative hypotheses would be: Но: H1: μ c. The test statistic t (please %3D show your answer to 3 decimal places.) d. The p-value (Please show your answer %D to 4 decimal places.)The average number of cavities that thirty-year-old Americans have had in their lifetimes is 8. Do twenty-year-olds have a different number of cavities? The data show the results of a survey of 15 twenty-year-olds who were asked how many cavities they have had. Assume that the distribution of the population is normal. 7, 10, 9, 7, 10, 6, 6, 9, 11, 6, 9, 12, 10, 10, 11 What can be concluded at the αα = 0.01 level of significance? For this study, we should use t test for a population mean The null and alternative hypotheses would be: H0: Mean = __?__ H1: Mean < __?__ The test statistic t= __?__ (please show your answer to 3 decimal places.) The p-value = __?__ (Please show your answer to 4 decimal places.) The p-value is >α Based on this, we should fail to reject the null hypothesis. Thus, the final conclusion is that ... Please choose one below The data suggest that the population mean number of cavities for twenty-year-olds is not significantly different…The average final exam score for the statistics course is 75%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is different. The final exam scores for the 12 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 100, 63, 94, 97, 78, 81, 78, 82, 90, 82, 90, 81 What can be concluded at the the αα = 0.01 level of significance level of significance? The null and alternative hypotheses would be: H0: the mean is <,>,=, or not equal to also provide the number__?__ H 1: the mean is <,>,=, or not equal to also provide the number __?__ The test statistic t = __?__ (please show your answer to 3 decimal places.) 2. The p-value = __?__ (Please show your answer to 4 decimal places.)
- A simple random sample of 100 observations was taken from a large population. The sample mean and the standard deviation were determined to be 81 and 9 respectively. The standard error of the mean (i.e. the standard error of the sampling distribution) is 8.10 0.90 O 0.81 O 0.27 Clear my choiceThe average final exam score for the statistics course is 75%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is different. The final exam scores for the 13 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 75, 70, 86, 92, 71, 82, 89, 74, 90, 64, 89, 80, 71 What can be concluded at the the a 0.05 level of significance level of signtficance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ?vSelect an answerv H1: ?vSelect an answerv C. The test statistic ?v = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ?v a f. Based on this, we should Select an answerv the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the population mean is not significantly different from 75 at…It is commonly believed that the mean body temperature of a healthy adult is 98.6° F. You are not entirely convinced. You believe that it is higher than 98.6° F. The temperatures for 12 randomly selected healthy adults are shown below. Assume that the distribution of the population is normal. 100.1, 96.8, 98.7, 100, 99.1, 98.3, 97.5, 100.9, 99.1, 100, 98.1, 100.1 What can be concluded at the a = 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? Ha: Select an answer Select an answer c. The test statistic O Question Help: (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) d. The p-value = e. The p-value is a f. Based on this, we should Select an answer the null hypothesis. g. Thus, the final conclusion is that ... There is sufficient evidence to conclude that the population mean body temperature for healthy adults is higher than 98.6° F. There is not sufficient…
- Find the mean and standard error of the mean of the sampling distribution. Then sketch a graph of the sampling distribution. The prices of photo printers on a website are normally distributed with a mean of $238 and a standard deviation of $67. Random samples of size 33 are drawn from this population and the mean of each sample is determined.The mean of a sampling distribution is smaller than the mean of the underlying population. True or falseThe average number of cavities that thirty-year-old Americans have had in their lifetimes is 8. Do twenty-year-olds have a different number of cavities? The data show the results of a survey of 13 twenty-year-olds who were asked how many cavities they have had. Assume that the distribution of the population is normal. 11, 7, 6, 12, 8, 9, 10, 11, 10, 6, 8, 10, 10 What can be concluded at the αα = 0.10 level of significance? The null and alternative hypotheses would be: Please provide number H0:H0: mean = __?__ H1:H1: mean not equal to __?__ The test statistic t = __?__(please show your answer to 3 decimal places.) The p-value = __?__ (Please show your answer to 4 decimal places.)