# AIO Fil15

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In the week before and the week after a holiday, there were 10 comma 000 total deaths, and 4979 of them occurred in the week before the holiday.
a. Construct a 95% confidence interval estimate of the proportion of deaths in the week before the holiday to the total deaths in the week before and the week after the holiday.
b. Based on the result, does there appear to be any indication that people can temporarily postpone their death to survive the holiday?
a. Construct a 95% confidence interval estimate of the proportion of deaths in the week before the holiday to the total deaths in the week before and the week after the holiday.

b. Based on the result, does there appear to be any indication that people can temporarily postpone their death to survive the holiday?

Listed below are measured amounts of lead (in micrograms per cubic meter, or mu g divided by m cubed) in the air. The EPA has established an air quality standard for lead of 1.5 mu g divided by m cubed. The measurements shown below were recorded at a building on different days. Use the given values to construct a 95% confidence interval estimate of the mean amount of lead in the air. Is there anything about this data set suggesting that the confidence interval might not be very good?
5.40 1.20 0.39 0.74 0.71 1.30
Click here to view a t distribution table. LOADING…
Click here to view page 1 of the standard normal distribution table. LOADING…
Click here to view page 2 of the standard normal distribution table. LOADING…
What is the confidence interval for the population mean mu?nothing mu g divided by m cubedless thanmuless than
nothing mu g divided by m cubed
(Round to three decimal places as needed.)
#2 In a study of pregnant women and their ability to correctly predict the sex of their baby, 59 of the pregnant women had 12 years of education or less, and 40.7% of these women correctly predicted the sex of their baby. Use a 0.05 significance level to test the claim that these women have an ability to predict the sex of their baby equivalent to random guesses. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, and conclusion about the null hypothesis. Use the P-value method. Use the normal distribution as an approximation of the binomial distribution. Do the results suggest that their percentage of correct predictions is different from results expected with random guesses? Identify the null and alternative hypotheses. Choose the correct answer below.
Identify the conclusion about the null hypothesis. Do the results suggest that their percentage of correct predictions is different from results expected with random guesses?

Identify the conclusion about the null hypothesis. Do the results suggest that their percentage of correct predictions is different from results expected with random guesses?

The capacity of an elevator is 8 people or 1240 pounds. The capacity will be exceeded if 8 people have weights with a mean greater than 1240 divided by 8 equals 155 pounds. Suppose the people have weights that are normally distributed with a mean of 161 lb and a standard deviation of 27 lb.
a. Find the probability that if a person is randomly selected, his weight will be greater than 155 pounds.

b. Find the probability that 8 randomly selected people will have a mean that is greater than 155 pounds.

c. Does the elevator appear to have the correct weight limit? Why or why not?

A scatterplot has a horizontal x-scale from 0 to 16 in increments of 2 and a vertical y-scale from 0 to 10 in increments of 1. Eleven points are plotted with approximate coordinates as follows: (4, 1); (5, 1.4); (6, 1.6); (7, 2); (8, 2.4); (9, 3); (10, 3.6); (11, 4.2); (12, 4.8); (13, 6); (14, 8).
b. Find the linear correlation coefficient, r, then determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables.
The linear correlation coefficient is requals 0.817
nothing.
(Round to three decimal places as needed.)
using the linear correlation coefficient found in the previous step, determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. Choose the correct answer below.
A.
There is insufficient evidence to support the claim of a linear correlation between the two variables.
B.
There is sufficient evidence to support the claim of a linear correlation between the two variables.
C.
There is insufficient evidence to support the claim of a nonlinear correlation between the two variables.
D.
There is sufficient evidence to support the claim of a nonlinear correlation between the two variables.
c. Identify the feature of the data that would be missed if part (b) was completed without constructing the scatterplot. Choose the correct answer below.
A.
The scatterplot does not reveal a perfect straight-line pattern.
B.
The scatterplot does not reveal a perfect straight-line pattern, and contains one outlier.
C.
The scatterplot reveals a perfect straight-line pattern and does not contain any outliers.
D.
The scatterplot reveals a perfect straight-line pattern, except for the presence of one outlier.
Click to select your answer(s).
#8
Assume that a simple random sample has been selected and test the given claim. use the P-value method for testing hypotheses. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.
The ages of actresses when they won an acting award is summarized by the statistics n equals 81, xequals35.2 years, and sequals11.7 years. Use a 0.01significance level to test the claim that the mean age of actresses when they win an acting award is 34 years.
What are the hypotheses?
A.
Upper H 0: munot equals34 years
Upper H 1: muequals34 years
B.
Upper H 0: muequals34 years
Upper H 1: munot equals34 years
C.
Upper H 0: muequals34 years
Upper H 1: mugreater than or equals34 years
D.
Upper H 0: muequals34 years
Upper H 1: muless than34 years
Identify the test statistic.
t equals 0.923
nothing (Round to three decimal places as needed.)
Identify the P-value.
The P-value is 0.3587
nothing. (Round to four decimal places as needed.)
State the final conclusion that addresses the original claim. Choose thecorrect answer below.
A.
Fail to reject Upper H 0. There is insufficient evidence to warrant rejectionof the claim that the mean age of actresses when they win an acting award is 34years.
B.
Reject Upper H 0. There is insufficient evidence to warrant rejection of theclaim that the mean age of actresses when they win an acting award is 34 years.
C.
Reject Upper H 0. There is sufficient evidence to warrant rejection of theclaim that the mean age of actresses when they win an acting award is 34 years.
D.
Fail to reject Upper H 0. There is sufficient evidence to warrant rejection ofthe claim that the mean age of actresses when they win an acting award is 34years.
Click to select your answer(s).

#9
The data table contains waiting times of customers at a bank, where customersenter a single waiting line that feeds three teller windows. Test the claimthat the standard deviation of waiting times is less than 1.2 minutes, whichis the standard deviation of waiting times at the same bank when separatewaiting lines are used at each teller window. Use a significance level of 0.05.Complete parts (a) through (d) below.
LOADING… Click on the icon to view the data.
a. Identify the null and alternative hypotheses. Choose the correct answerbelow.
A.
Upper H 0 : sigma less than 1.2 minutes
Upper H Subscript Upper A Baseline : sigma equals 1.2 minutes
B.
Upper H 0 : sigma greater than or equals 1.2 minutes
Upper H Subscript Upper A Baseline : sigma less than 1.2 minutes
C.
Upper H 0 : sigma equals 1.2 minutes
Upper H Subscript Upper A Baseline : sigma less than 1.2 minutes
D.
Upper H 0 : sigma equals 1.2 minutes
Upper H Subscript Upper A Baseline : sigma not equals 1.2 minutes
b. Compute the test statistic.
chi squaredequals

Randomly selected students participated in an experiment to test their abilityto determine when one minute (or sixty seconds) has passed. Forty studentsyielded a sample mean of 57.5 seconds. Assuming that sigmaequals9.4 seconds,construct and interpret a 95% confidence interval estimate of the populationmean of all students.
Click here to view a t distribution table. LOADING…
Click here to view page 1 of the standard normal distribution table. LOADING…
Click here to view page 2 of the standard normal distribution table. LOADING…
What is the 95% confidence interval for the population mean mu?

nothingless thanmuless than
nothing (54.5, 60.5)
(Type integers or decimals rounded to one decimal place as needed.)
Based on the result, is it likely that the students’ estimates have a meanthat is reasonably close to sixty seconds?
A.
Yes, because the confidence interval includes sixty seconds.
B.
Yes, because the confidence interval does not include sixty seconds.
C.
No, because the confidence interval does not include sixty seconds.
D.
No, because the confidence interval includes sixty seconds.

#5
Assume that adults have IQ scores that are normally distributed with a mean ofmu equals 105 and a standard deviation sigma equals 15. Find the probabilitythat a randomly selected adult has an IQ less than 135.
(how many decimals is the required answer?) if 5 decimals
The answer is 0.69146
If four decimals, then the answer is rounded off to 0.6915