Data for the amount of time that Americans spend commuting to work each day creates a histogram that has a normal shape. The mean is 35 minutes and the standard deviation is 10 minutes. According to the Empirical Rule, which of the following is not a conclusion that we can make?

a. It would be common to find a commuter who takes 43 minutes to commute to work.

b. About 5% of commuters take longer than 55 minutes to commute to work.

c. A commuter who takes 30 minutes to commute to work would have a negative Z-score.

d. A commuter who takes 25 minutes to commute to work is more standard deviations from the mean than a commuter who takes 40 minutes.

The following data represent the​ high-temperature distribution for a summer month in a city for some of the last 130 years. Treat the data as a population.

Temperature ​50-59 ​ 60-69 ​ 70-79 ​ 80-89 ​90-99 ​ 100-109

Days 1 305 1469 1523 571 6

a.) Approximate the mean and standard deviation for temperature.

Mean =

Standard Deviation =

b.) Use the frequency histogram of the data to verify that the distribution is bell shaped.

- Yes, the frequency histogram of the data is bell shaped.

- No, the frequency histogram of the data is not bell shaped.

c.) According to the empirical rule, 95% of days in the month will be between what two temperatures?

____ and _____ (Round to one decimal place as needed. Use ascending order)

The true percentage of left-handed people is 13% (p = .13)

1. a. If we survey two hundred people, how many left handers do you expect to survey?

b. If you repeat this survey, will you always get this number of left-handers (the expectation)? Why or why not?

c. What is the spread (standard deviation) of the sample proportions?

d. Use the empirical rule to describe where we expect sample proportions to lie if we repeated this survey (with size of 200 people) over and over again

68% of sample proportions would lie between ______________and _____________

95% of sample proportions would lie between _____________and______________

99.7% of sample proportions would lie between _____________and______________

A. How many grams of lithium nitrate, LiNO3 (68.9 g/mol), are required to prepare 342.6 mL of a 0.783 M LiNO3 solution? B. What mass of H3PO4 (98.0 g/mol) is present in 36.2 L of a 0.0827 M solution of H3PO4? C. The formula mass of zinc acetate trihydrate, Zn(CH3COO)2 • 3H2O, is ? D. A 2.39-g sample of an oxide of chromium contains 1.48 g of chromium. Calculate the simplest formula for the compound E. The analysis of an organic compound showed that it contained 1.386 mol of C, 0.0660 mol of H, 0.924 mol of O, and 0.462 mol of N. How many nitrogen atoms are there in the empirical formula for this compound? Thanks

The following table shows the approximate number of males of Hispanic origin employed in the United States in a certain year, broken down by age group. Age 15-24.9 25-54.9 55-64.9 Employment (thousands) 29,000 17,000 3,700 (a) Use the rounded midpoints of the given measurement classes to compute the expected value and the standard deviation of the age X of a male Hispanic worker in the United States. (Round all probabilities and intermediate calculations to two decimal places.) expected value yrs old standard deviation yr (b) In what age interval does the empirical rule predict that 68 percent of all male Hispanic workers will fall? (Round answers to the nearest year.) ,

The question was:

Finals are over and the marks are in. For all the students who have completed the introductory course to business statistics the distribution of the grades represented a bell-shaped distribution, symmetrical about the average which was 75.90 marks. The standard deviation was 1.40.

Given the information above, answer the following questions using the Empirical Rule.

For full marks your answer should be accurate to at least two decimal places.

a) Approximately what percentage of marks were above 77.30?

b) Approximately what percentage of marks were below 71.70?

c) Approximately what percentage of marks were between 71.70 and 80.10?

I don't want to get answers, I want method steps，Thanks!

The mean value of land and buildings per acre from a sample of farms is ​$1300​, with a standard deviation of ​$100. The data set has a​ bell-shaped distribution. Assume the number of farms in the sample is 77. ​(a) Use the empirical rule to estimate the number of farms whose land and building values per acre are between ​$1200 and ​$1400. nothing farms ​(Round to the nearest whole number as​ needed.) ​(b) If 22 additional farms were​ sampled, about how many of these additional farms would you expect to have land and building values between ​$1200 per acre and ​$1400 per​ acre? nothing farms out of 22 ​(Round to the nearest whole number as​ needed.)

Write the complete redox and the two half-reactions for the reaction of aluminum and copper. Which species is oxidizing agent? The reducing agent? How many electrons were transferred?

A compound containing xenon and fluorine, Xex,Fy, was produced by shining bright sunlight on a gaseous mixture of 0.439 g of Xe and excess fluorine. If all the xenon reacts, and 0.693 grams of the compound are formed, what is the empirical formula of the compound?

A 0.158 gram sample of a salt, comprised of barium and one of the halide ions, was dissolved in water, and an excess of sulfuric acid was added to form barium sulfate, BaSO4. After filtering and drying, the solid BaSO4 weighed 0.124 grams. Determine the identity of the halide and the formula of the barium halide.

The true percentage of left-handed people is 13% (p = .13)

1) a. If we survey two hundred people, how many left handers do you expect to survey?

b. If you repeat this survey, will you always get this number of left-handers (the
expectation)? Why or why not?

c. What is the spread (standard deviation) of the sample proportions?

d. Use the empirical rule to describe where we expect sample proportions to lie if we
repeated this survey (with size of 200 people) over and over again

68% of sample proportions would lie between ______________and _____________

95% of sample proportions would lie between _____________and______________

99.7% of sample proportions would lie between _____________and______________