The Virginia Cooperative Extension reports that the mean weight of yearling Angus steers is 1152 pounds. Suppose that weights of all such animals can be described by a Normal model with a standard deviation of 84 pounds. a) What percent of steers weigh over 1250 pounds? b) What percent of steers weigh under 1225 pounds? c) What percent of steers weigh between 1000 and 1125 pounds?

A boat capsized and sank in a lake. Based on an assumption of a mean weight of 133 Ib, the boat was rated to carry 70 passengers (so the load limit was 9,310 Ib). After the boat sank, the assumed mean weight for similar boats was changed from 133 lb to 174 lb. Complete parts a and b below. a. Assume that a similar boat is loaded with 70 passengers, and assume that the weights of people are normally distributed with mean of 181.1 Ib and a standard deviation of 38.6 lb. Find the probability that the boat is overloaded because the 70 passengers have mean weight greater than 133 lb The probability isO: (Round to four decimal places as needed.) b. The boat was later rated to carry only 17 passengers, and the load limit was changed to 2,958 Ib. Find the probability that the boat is overloaded because the mean weight of the passengers is greater than 174 (so that their total weight is greater than the maximum capacity of 2,958 Ib). The probability is. (Round to four decimal places as needed.)…

According to the Carnegie unit system, the recommended number of hours students should study per unit is 2.  Are statistics students' study hours more than the recommended number of hours per unit? The data show the results of a survey of 11 statistics students who were asked how many hours per unit they studied. Assume a normal distribution for the population. 2, 2.9, 4.5, 0.7, 3.3, 4.5, 4.2, 1.2, 0.9, 1.8, 2.8 What can be concluded at the αα = 0.05 level of significance?  The p-value =  (Please show your answer to 4 decimal places. Based on this, we should Select an answer fail to reject accept reject  the null hypothesis Thus, the final conclusion is that ... The data suggest the populaton mean is significantly more than 2 at αα = 0.05, so there is enough evidence to conclude that the population mean study time per unit for statistics students is more than 2. The data suggest the population mean is not significantly more than 2 at αα = 0.05, so there is enough evidence to…

Consider the data from the Anthropology 105 class.  The mean for women is 64.33 in and the standard deviation is 2.64 in. The average height of men in the US is approximately 5ft 10in. What proportion of women represented here are shorter than the average man?

Which of the following statistics are unbiased estimators of the population parameter? Select all that apply. A) Sample mean B) Sample proportion C) Sample range

The average weekly salaries (in dollars) earned by teachers in 1994 are given below for five European countries. Country Weekly Salary France $1,213 Germany $1,752 Greece $824 Ireland $1,101 Italy $1,006 a) What is the range for salaries? b) What is the standard deviation of the salaries

According to the Carnegie unit system, the recommended number of hours students should study per unit is 2.  Are statistics students' study hours different from the recommended number of hours per unit? The data show the results of a survey of 16 statistics students who were asked how many hours per unit they studied. Assume a normal distribution for the population. 1.5, 2, 2.9, 3.8, 4.6, 1.1, 1.8, 2.6, 1.4, 2.8, 4.5, 1.2, 1, 0.7, 3, 1.2 What can be concluded at the αα = 0.05 level of significance?  For this study, we should use Select an answer t-test for a population mean z-test for a population proportion  The null and alternative hypotheses would be:       H0:H0:  ? μ p  Select an answer < ≠ = >         H1:H1:  ? p μ  Select an answer < ≠ = >     The test statistic ? z t  =  (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 Select an answer reject fail to…