In conducting a survey, what are the factors that you must consider to reduce measurement errors in the design? Provide an example of both a good and bad survey question to support your response.

I'm not sure if I am able to do these in excel, but if so what are the functions for them?

1. (2 pts) The weights of 8-week-old French Bulldog puppies follow a normal distribution. What percent of puppies weigh more than 2.35 standard deviations below the mean?

2. (4 pts) If a Chevy Trailblazer lasts for an average of 170,000 miles and a standard deviation of 25,000 miles, assuming mileage follows a normal distribution, what is the probability that the Trailblazer will last at least 180,000 miles?

1. You are going to write an article for the monthly publication Consumer Digest.  Radon is an invisible gas in homes that left unattended may lead to cancer.  Many homebuyers buy detectors to check the level in their homes.  How accurate are these detectors?   To answer this question, university researchers placed 33 radon detectors Model Type RSII in a chamber that that exposed them to 105 picocuries per liter of radon.  The detector readings were as follows

91.9     97.8      111.4     122.3     105.4    95.0    103.8    99.6      119.3   104.8     101.7   92.1   97.6   111.1   125.9   105.4       95.0      103.7     99.7    119.1     98.1   105.0   101.6    92.2       97.6     91.6

111.5   122.2   104.9       95.5       103.5    101.1   74.9

Please review the product and include the following:

Use all three method to analyze this sample data.

1. Check for outliers, if there are any remove them and analyze the remaining data
2. Traditional Approach (z-score or t-score & look at distance from the mean)
3. P-Value
4. Interval at 95%

A study was conducted on students from a particular high school over the last 8 years. The following information was found regarding standardized tests used for college admitance. Scores on the SAT test are normally distributed with a mean of 1109 and a standard deviation of 196. Scores on the ACT test are normally distributed with a mean of 20.9 and a standard deviation of 4.4. It is assumed that the two tests measure the same aptitude, but use different scales.

If a student gets an SAT score that is the 33-percentile, find the actual SAT score.
SAT score = ?
Then Round answer to a whole number.

What would be the equivalent ACT score for this student?
ACT score = ?
Then Round answer to 1 decimal place.

If a student gets an SAT score of 1579, find the equivalent ACT score.
ACT score = ?
Then Round answer to 1 decimal place.

How many tissues should a package of tissues contain? Researchers have determined that a person uses an average of 61 tissues during a cold. Suppose a random sample of 10,000 people yielded the following data on the number of tissues used during a cold:

X-bar (mean): 47

s= 20

α= 0.01

Conduct a hypothesis test based on the data and be sure to write out all of the steps (hypothesis, test statistic, statistical decision and practical decision)

Suppose that the weight of seedless watermelons is normally distributed with mean 6.5 kg. and standard deviation 1.8 kg. Let X be the weight of a randomly selected seedless watermelon. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N( , ) b. What is the median seedless watermelon weight? kg. c. What is the Z-score for a seedless watermelon weighing 7.7 kg? d. What is the probability that a randomly selected watermelon will weigh more than 6.8 kg? e. What is the probability that a randomly selected seedless watermelon will weigh between 6.4 and 7.2 kg? f. The 80th percentile for the weight of seedless watermelons is kg.

A police officer claims that the proportion of accidents that occur in the daytime (versus nighttime) at a certain intersection is 35%. To test this claim, a random sample of 500 accidents at this intersection was examined from police records it is determined that 156 accidents occurred in the daytime.

The following is the setup for this hypothesis test:

{H0:p=0.35

Ha:p≠0.35

Find the test statistic for this hypothesis test for a proportion. Round your answer to 2 decimal places.

In how many different orders can five runners finish a race if ties are allowed?

4. A bin of 52 manufactured parts contains 13 defective parts. Pick 8 parts from the bin at random (a) without replacement and (b) with replacement. In each case compute the probability that you get no defective parts.

5. A postcode consists of 5 digits of numbers from 1 to 9. Suppose a postcode is valid if it consists of at least two repeated digits (not real), e.g., 95616 and 96616 are valid but 95617 is not. Suppose one write a random postcode on a letter. What is the probability that this postcode is valid

please show all steps

Q.4 Let X and Y be continuous random variables with the joint pdf:

f(x, y) = { k(x + y), if (x, y) ∈ 0 ≤ y ≤ x ≤ 1 ; 0 otherwise

Answer the question with the equation below please

f(x, y) = 2(x + y), for 0 ≤ y ≤ x ≤ 1 and 0 otherwise.

(a) Find E[X + Y ] and E[X − Y ]

(b) Find E[XY ]

(c) Find E[ Y | X = x] and E[ X | Y = y].

(d) Find Cov[X, Y

A security consultant has observed that the attempts to breach the security of the companys computer system occurs according to a Poisson process with a mean rate of 3 attempts per day. (The system is on 24 hours per day.)

(a) What is the probability that there will be four breach attempts tomorrow, and two of them will occur during the evening (eight-hour) shift?

could u recalculate using 1 probability i think the probability is p(4 breaches tom | 2 of them occurs during the 8-hour shift)

1. Discuss various ways of enhancing scatterplots
2. Discuss how coplots are constructed and provide the reasons for using such plots.
3. Discuss plots that can be used to check distributional assumptions.

A real estate company, We Rent Houses, regularly conducts survey for average rents in Tampa Bay area. According to its latest survey, the sample mean rent in 2019 was $950 for Pasco County and $1,160 in Hillsborough County. Assume the survey sampled rents for 160 rental units in each county. Also, assume the standard deviation in rents based on the survey was $175 in Pasco County and $230 in Hillsborough County. Do not use PHStat4 for this part. Compute the values manually.

a. Calculate a 95% confidence interval for the population mean rent for Hillsborough County. Provide an interpretation of the confidence interval.

b. Calculate a 95% confidence interval for the population mean rent for Pasco County. Interpret.

c. Is it possible that the population mean rent in Pasco County is higher than that in Hillsborough County? Explain

(1 point) A national sporting good store wishes to use demographic information to predict its monthly sales, in $1000s. Thrity-eight, n=38n=38, stores of the chain are randomly chosen across the country. It is known that each store is approximately the same size and carries the same merchandise.

The geographic area from which a store draws its customers is known as the customer base. One of the variables is the percentage of the customer base who have graduated from high school.

MonthlySalesiMonthlySalesi = β0β0 + β1PercentHSGradsiβ1PercentHSGradsi + eiei

where

MonthlySalesiMonthlySalesi - is the total sales in month ii, in $1000s

PercentHSGradsiPercentHSGradsi - is percentage of all customers in store ii customer base that have graduated from high school

A least-squares regression was ran in R producing the following output:



Regression Analysis: MonthlySales versus PercentHSGrads

S = 802.004 R-Sq =

Using the partial R output, answer the questions below.

(a) Estimate the model. Use two-decimals your estimation of the slope term, no decimals in the estimation of the y-intercept.


MonthlySalesiˆMonthlySalesi^ =

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+

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PercentHSGradsiPercentHSGradsi

(b) What percentage of the variation in a store's monthly sales cannot be explained by its linear dependency on the percentage of the customer base that are high school graduates? Enter your answer as a percentage, using two decimal places.

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%


(c) Does the data collected indicate that the monthly sales of a store can be expressed as a linear function the percentage of high school graduates in its customer base? Select the correct statisticaly hypotheses.

A. H0:βˆ1≥0HA:βˆ1<0H0:β^1≥0HA:β^1<0
B. H0:β1=0HA:β1≠0H0:β1=0HA:β1≠0
C. H0:β1=0HA:β1<0H0:β1=0HA:β1<0
D. H0:βˆ1≥0HA:βˆ1≠0H0:β^1≥0HA:β^1≠0
E. H0:β1≥0HA:β1>0H0:β1≥0HA:β1>0
F. H0:βˆ1=0HA:βˆ1>0H0:β^1=0HA:β^1>0

(d) Using the FF-test, test the statistical hypotheses determined in (c). Find the value of the test statistic, using two decimals in your answer.

FcalcFcalc =

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(e) Testing the statistical hypotheses in (c) at α=0.05α=0.05, you can conclude from this data that the  ? monthly sales of a store percentage of customer base that are high school graduates   ? can cannot  be expressed as a linear function of the  ? monthly sales of a store percentage of customer base that are high school graduates .


(f) Can you infer from this data that an increase of 1% to the percentage of high school graduates in the customer based will lead to an mean/average increase in the store's monthly sales by more than $50,000?


(i) Find the value of the test statistic, use two decimal places in your answer.

TcalcTcalc =

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(ii) Find the PP-value of the result, using three decimals.

PP-value =

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(g) A store located at a local mall has recently discovered that 90% of its customer base has a high school diploma. With 95% confidence, estimate this store's monthly sales for the current month.
Note: You will need ∑38i=1PercentHSGradsi=2935.17∑i=138PercentHSGradsi=2935.17 and ∑38i=1PercentHSGrads2i=228777∑i=138PercentHSGradsi2=228777


Lower Bound =

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$1000s (use one decimal in your answer)

Upper Bound =

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$1000s (use one decimal in your answer)

(h) A residual plot of the regression was consulted.



What does this residual plot say about the condition(s) of the model? Pick the most appropriate answer.

A. The variance in the monthly sales is not the same for all stores with different proportions of high school graduates in their respective customer base.
B. The variance in the monthly sales is the same for all stores with different proportions of high school graduates in their respective customer base.
C. The distribution in the monthly sales is Normally distributed.
D. The distribution in the monthly sales is not Normally distributed.
E. The variation in the proportion of the customer base that are high school graduates is the same for all stores.
F. The variation in the proportion of the customer based that are high school graduates is not the same for all stores.

COULD YOU ANSWER ONLY ON QUESTION H, G, E, F