Suppose X has a normal distribution with mean 135 and variance 36. Find the 67th percentile of the distribution of X. Answer choice 132.36 137.64 146.76 123.24

Americans love ice cream .The annual per capita consumption of ice cream ,in pounds ,in the united states can be approximately by a normal distribution with mean 16.5 lbs and standard deviation 2.5 lbs  write three statements about the distribution using the empirical rule

K A commuter tallied the time to work for 200 days and found that it resembled a normal curve. The mean time was 50 minutes, and the standard deviation was 2 minutes. For the 200-work-day experiment, find the percent of time commuting to work less than 44 minutes. 44 Minutes to Commute to Office 1 46 48 68%- 95% 99/7% 50

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…

A distribution has mean 100 and standard deviation 3. What is the largest percent of the data that is guaranteed to be between 40 and 160 93.75 96 97.44 99.75 99.99

In a normal distribution, ____ of the distribution lies within one standard deviation of the mean. 50%. 68%. 95%. 99.7%.

Compare the population variance to the mean of the sample variances. Choose the correct answer below.     A. The population variance is equal to the square root of the mean of the sample variances.   B. The population variance is equal to the mean of the sample variances.   C. The population variance is equal to the square of the mean of the sample variances.

Select all true statements below (Multiple or none can be true). With a large, representative sample, the histogram of the sample data will follow the normal curve closely. If two lists of numbers have exactly the same average of 50 and SD of 10, then the percentage of entries between 40 and 60 must be exactly the same for both lists. Half of a list of numbers is always below its average. The median and average of a list of numbers are not necessarily close together.

Refer to the data set in the accompanying table. Assume that the paired sample data is a simple random sample and the differences have a distribution that is approximately normal. Use a significance level of 0.05 to test for a difference between the weights of discarded paper​ (in pounds) and weights of discarded plastic​ (in pounds).   LOADING... Click the icon to view the data. In this​ example, μd is the mean value of the differences d for the population of all pairs of​ data, where each individual difference d is defined as the weight of discarded paper minus the weight of discarded plastic for a household. What are the null and alternative hypotheses for the hypothesis​ test?     A. H0​: μd≠0 H1​: μd>0   B. H0​: μd=0 H1​: μd<0   C. H0​: μd=0 H1​: μd≠0   D. H0​: μd≠0 H1​:  μd=0     Household Paper Plastic   1   6.44   8.40     2   7.72   3.86     3   3.27   0.63     4   9.19   3.74     5   14.33   6.43     6   11.08   12.47     7…

Find the range, the standard deviation, and the variance for the given samples. Round noninteger results to the nearest tenth. 91, 78, 89, 70, 90, 75, 84, 98, 96, 79, 77 range       standard deviation       variance