Chapter 6.1 review questions, #23 part B. In order to find the probability of a fourth or fifth live birth, I have to multiple the probability of a fourth birth and the probability of a fifth birth. This would be 0.096 x 0.047. My calculator is saying the answer is 0.004512. However, Chegg textbook solutions and the book says the answer is 0.143, which would be the two probabilities being added together. I'm not sure which is wrong; is the answer wrong or is the operation wrong?

A survey found that​ women's heights are normally distributed with mean 63.9 in . and standard deviation 2.3 in . The survey also found that​ men's heights are normally distributed with mean 67.1 in . and standard deviation 3.5 in . Consider an executive jet that seats six with a doorway height of 56 in .

a. What percentage of adult men can fit through the door without​ bending? The percentage of men who can fit without bending is nothing ​%. ​(Round to two decimal places as​ needed.)

What doorway height would allow​ 40% of men to fit without​ bending? The doorway height that would allow​ 40% of men to fit without bending is nothing in. ​(Round to one decimal place as​ needed.

In a random sample of 80 people, 52 consider themselves as baseball fans. Compute a 95% confidence interval for the true proportion of people consider themselves as baseball fans and fill in the blanks appropriately. We are 95% confident that the true proportion of people consider themselves as baseball fans is between and . (Keep 3 decimal places)

(−2,−3),(1,2),(5,5),(7,6),(12,12),(−2,−3),(1,2),(5,5),(7,6),(12,12),

find interval estimates (at a 97.3% significance level) for single values and for the mean value of yy corresponding to x=7x=7.

Note: For each part below, your answer should use interval notation.

Interval Estimate for Single Value =

Interval Estimate for Mean Value =

• Select one project from your working or educational environment in which you would use the confidence interval technique for the process. Next, speculate on one or two challenges of utilizing such a technique in the process and suggest your strategy to mitigate the challenges in question.

A simple random sample of 60 items from a population with σ = 7 resulted in a sample mean of 38.

If required, round your answers to two decimal places.

a. Provide a 90% confidence interval for the population mean.
_____ to _____

b. Provide a 95% confidence interval for the population mean.
_____ to _____

c. Provide a 99% confidence interval for the population mean.
_____ to _____

Begin by creating a probability distribution for the number of heads in five tosses of a coin. List the different possible outcomes.
Calculate the expected value of the random variable.
Calculate the standard deviation of this distribution.

A simple random sample of 60 items resulted in a sample mean of 80. The population standard deviation is 15.

At 95% confidence, what is the margin of error (to 4 decimals)?

-

What is the standard error of the mean (to 4 decimals)?

-

Which statement should you use to explain the 95% confidence interval ?

Group of answer choices:

A. We are confident that 95% of population are in the confidence interval

B. We are 95% confident that the confidence interval includes the sample mean.

C. We are 95% confident that the confidence interval includes the population.

D. There is a 95% probability that the population mean lies within the confidence interval.

Systolic blood pressure is the amount of pressure that blood exerts on blood vessels while the heart is beating. The mean systolic blood pressure for people in the United States is reported to be 122 millimeters of mercury (mmHg) with a standard deviation of 15 mmHg.

The wellness department of a large corporation is investigating whether the mean systolic blood pressure of its employees is greater than the reported national mean. A random sample of 50 employees will be selected, the systolic blood pressure of each employee in the sample will be measured, and the sample mean will be calculated. Let μ represent the mean systolic blood pressure of all employees at the corporation. Consider the following hypotheses.

H₀: μ=122

H_a: μ>122

a) Assume that σ , the standard deviation of the systolic blood pressure of all employees at the corporation, is 15 mmHg and μ = 122 . Describe the shape, center, and spread of the sampling distribution of x for samples of size 50.

b) Based on the sampling distribution constructed in part a), what interval of values of x would represent sufficient evidence to reject the null hypothesis at the significance level α = .01 ?

c) It was determined that the actual mean systolic blood pressure is 125 mmHg, not the hypothesized value of 122 mmHg, and the standard deviation is 15 mmHg. Using the actual mean of 125 mmHg and the results from part b), determine the probability that the null hypothesis will be rejected?

d) What statistical term is used for the probability calculated in part c)? Explain.

e) Suppose the size of the sample of employees is greater than 50. Would the probability of rejecting the null hypothesis increase, decrease, or remain the same? Explain your reasoning.

compare and contrast the county data to your state as a whole. Present the county and state data in the same table to make comparisons easier. Finally, discuss the overall patterns you find in social inequalities and any suggestions for social change to address these issues in your community.   

10)

The SAT scores for 12 randomly selected seniors at a particular high school are given below. Assume that the SAT scores for seniors at this high school are normally distributed.

a) Find a 95% confidence interval for the true mean SAT score for students at this high school.

b) Provide the right endpoint of the interval as your answer.

Round your answer to the nearest whole number.

4. (from Q31 P. 594) Some students checked 6 bags of Doritos marked with a net weight of 28.3 grams. They carefully weighed the contents of each bag, recording the following weights (in grams): 29.2, 28.5, 28.7, 28.9, 29.1, 29.5. a. (1 mark) Calculate the sample mean, ¯x and its standard error s/√ n. b. Create a 95% confidence interval for the mean weight of such bags. c. State H0 and Ha and calculate a p-value if we want to show that the true mean weight of all such bags is actually greater than 28.3 grams. d. State your conclusion, referring to both the confidence interval and the p-value

Suppose you are taking a test in Math 1044, which is made up of 100 independent, identically distributed students. Your professor claims that the average score will be 72 with a standard deviation of 10 points. Let S be the normal approximation to the average score and use the Central Limit Theorem to answer the following questions. Please simplify answer in terms of the Φ function before entering them in a calculator.C

(a) How is S distributed and what is the CDF of S?

(b) Find the probability that the average score is below a 70.

(c) Find the probability that the actual average score is between 68 and 72.

(d) Find the probability that the average score is above a 74.

Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 46 male firefighters are tested and that they have a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma per kilogram body weight). Assume that σ = 7.20 ml/kg for the distribution of blood plasma.

(a)

Find a 99% confidence interval for the population mean blood plasma volume in male firefighters. What is the margin of error? (Round your answers to two decimal places.)

lower limit =

upper limit =

margin of error =

(b)

What conditions are necessary for your calculations? (Select all that apply.)

the distribution of weights is uniform

σ is known

n is large

the distribution of weights is normal

σ is unknown

(c)

Interpret your results in the context of this problem.

1% of the intervals created using this method will contain the true average blood plasma volume in male firefighters.99% of the intervals created using this method will contain the true average blood plasma volume in male firefighters.    The probability that this interval contains the true average blood plasma volume in male firefighters is 0.99.The probability that this interval contains the true average blood plasma volume in male firefighters is 0.01.

(d)

Find the sample size necessary for a 99% confidence level with maximal margin of error E = 2.40 for the mean plasma volume in male firefighters. (Round up to the nearest whole number.)

male firefighters

John Wayne Like many others, the famous actor John Wayne died of cancer. But is there more to this story? In 1955, Wayne was in Utah shooting the film The Conquerer. Across the state line, in Nevada, the US military was testing atomic bombs. Radioactive fallout from those tests drifted across the filming location. A total of 46 of the 220 people working on the film eventually died of cancer.The death rate from cancer in that era was about 14% (0.14). A question is whether the death rate in the crew was unusually high. a. (1 mark) What are the hypotheses? b. Assuming this is a random sample of people who are exposed to this level of fallout, calculate a 95% confidence interval for the cancer rate. c. Calculate the P-value for testing whether the death rate was unusually high. d. Is there strong evidence that it is unusually high? Use the confidence interval and P-value to justify your conclusion.