1. Following a normal probability distribution with a mean of 200 and a standard deviation of 10, 95 percent  of the population will be between:

3. A family of four spends an average of $1000 per month with a standard deviation of $50.  This spending follows a normal continuous distribution.  

What is the probability that a family will spend more than $1050 in a month?  (answer to 3 decimal places)

5. If two events, A and B, are mutually exclusive, then P(A or B) = P(A) + P(B) - P(A&B)

True

False

6. A coin is tossed 8 times.  It is a fair coin with 2 sides, heads and tails.  What is the probability that in 8 tosses, 7 or less will be flipped?

7. Following a normal probability distribution with a mean of 200 and a standard deviation of 10, 68 percent  of the population will be between:

1. What is meant by a “null” hypothesis?
2. How do you test a null hypothesis?
3. What are alternate hypotheses?  
4. What are p-values?
5. Explain "significance level."

This is for business statistics

An experiment was conducted to see the effectiveness of two antidotes to three different doses of a toxin. The antidote was given to a different sample of participants five minutes after the toxin. Twenty-five minutes later the response was measured as the concentration in the blood. What can the researchers conclude with α = 0.01?

Compute the corresponding effect size(s) and indicate magnitude(s).
Antidote: η² =  ;  ---Select--- na trivial effect small effect medium effect large effect
Dose: η² =  ;  ---Select--- na trivial effect small effect medium effect large effect
Interaction: η² =  ;  ---Select--- na trivial effect small effect medium effect large effect


d) Make an interpretation based on the results.

There is an antidote difference in blood concentration.There is no antidote difference in blood concentration.    

There is a dose difference in blood concentration.There is no dose different in blood concentration.    

There is an antidote by dose interaction in blood concentration.There is no antidote by dose interaction in blood concentration.    

A large sports supplier has many stores located world wide. A regression model is to be constructed to predict the annual revenue of a particular store based upon the population of the city or town where the store is located, the annual expenditure on promotion for the store and the distance of the store to the center of the city.

Data has been collected on 30 randomly selected stores: (AT BOTTOM)

Find the multiple regression equation using all three explanatory variables. Assume that x₁ is population, x₂ is annual promotional expenditure and x₃ is distance to city center. Give your answers to 3 decimal places.

a) y^ = BLANK + BLANK population + BLANK promo. expenditure + BLANK dist. to city

e)The value of R² for this model, to 3 decimal places, is equal to

f)The value of s for this model, to 3 decimal places, is equal to

g)Construct a new multiple regression model by removing the variable distance to city center. Give your answers to 3 decimal places.

The new regression model equation is:

y^ = + population + promo. expenditure

At a level of significance of 0.05, the result of the F test for this model is that the null hypothesis A) Is B) is not rejected.

c)The explanatory variable that is most correlated with annual revenue is:

population
promotional expenditure
distance to city

d)The explanatory variable that is least correlated with annual revenue is:

population
promotional expenditure
distance to city

H) In the new model compared to the previous one, the value of R² (to 3 decimal places) is:

increased
decreased
unchanged

i)In the new model compared to the previous one, the value of s (to 3 decimal places) is:

increased
decreased
unchanged

Listed in the data table are IQ scores for a random sample of subjects with medium lead levels in their blood. Also listed are statistics from a study done of IQ scores for a random sample of subjects with high lead levels. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Complete parts​ (a) and​ (b) below. Use a 0.01 significance level for both parts. Medium Lead Level 72 94 92 85 87 97 83 92 104 111 91 High Lead Level n2 = 11 x bar2 = 89.345 s2 = 10.173

The test statistic is

nothing.

​(Round to two decimal places as​ needed.)The​ P-value is

nothing.

​(Round to three decimal places as​ needed.)

State the conclusion for the test.

A.

Fail to rejectFail to reject

the null hypothesis. There

is notis not

sufficient evidence to support the claim that subjects with medium lead levels have higher IQ scores.

B.

RejectReject

the null hypothesis. There

isis

sufficient evidence to support the claim that subjects with medium lead levels have higher IQ scores.

C.

Fail to rejectFail to reject

the null hypothesis. There

isis

sufficient evidence to support the claim that subjects with medium lead levels have higher IQ scores.

D.

RejectReject

the null hypothesis. There

is notis not

sufficient evidence to support the claim that subjects with medium lead levels have higher IQ scores.

b. Construct a confidence interval suitable for testing the claim that the mean IQ scores for subjects with medium lead levels is higher than the mean for subjects with high lead levels.

nothingless than<mu 1μ1minus−mu 2μ2less than<nothing

​(Round to two decimal places as​ needed.)

Does the confidence interval support the conclusion of the​ test?

▼

No,

Yes,

because the confidence interval contains

▼

zero.

only positive values.

only negative values.

Click to select your answer(s).

Given an approximately normal distribution with a mean of 175 and a standard deviation of 37.

(a) What percent of values outside the interval (138, 212)?

(b) What percent of values are outside the interval (101, 249)?

(c) What percent of values are outside the interval (64, 286)?

(Use Excel or R)

Wenton Powersports produces dune buggies. They have three assembly lines, “Razor,” “Blazer,” and “Tracer,” named after the particular dune buggy models produced on those lines. Each assembly line was originally designed using the same target production rate. However, over the years, various changes have been made to the lines. Accordingly, management wishes to determine whether the assembly lines are still operating at the same average hourly production rate. Production data (in dune buggies/hour) for the last eight hours are as follows.

a. Specify the competing hypotheses to test whether there are some differences in the mean production rates across the three assembly lines.

• H₀: μ_Razor = μ_Blazer = μ_Tracer. H_A: Not all population means are equal.

• H₀: μ_Razor ≤ μ_Blazer ≤ μ_Tracer. H_A: Not all population means are equal.

• H₀: μ_Razor ≥ μ_Blazer ≥ μ_Tracer. H_A: Not all population means are equal.

b-1. Construct an ANOVA table. Assume production rates are normally distributed. (Round "Sum Sq" to 2 decimal places, "Mean Sq" and "F value" to 3, and "p-value" to 4 decimal places.)

b-2. At the 5% significance level, what is the conclusion to the test?

b-3. What about the 10% significance level?

In the reactor safety study, the failure rate of a diesel generator can be described as having a lognormal distribution with the upper and lower 90 % bounds of 3x10^-2 and 3x10^-4, respectively. a) Determine prior distribution in lognormal distribution. b) The given nuclear plant experiences 2 failures in 8,760 hours of operation. Determine the posterior distribution based on Poisson distribution. c) Determine the upper and lower 90 % bounds given this plant experience. (Consider the reactor safety study values as prior information.

Required Words: 400

Required

Collection of consumer price index of different countries for analysis

A recent survey reported that 63% of​ 18- to​ 29-year-olds in a certain country own tablets. Using the binomial​ distribution, complete parts​ (a) through​ (e) below.

?: .52 ?=6

a. What is the probability that in the next six​ 18- to​ 29-year-olds surveyed, four will own a​ tablet?

The probability is ____

​(Type an integer or a decimal. Round to four decimal places as​ needed.)

b. What is the probability that in the next six​ 18- to​ 29-year-olds surveyed, all six will own a​ tablet?

The probability is ____

​(Type an integer or a decimal. Round to four decimal places as​ needed.)

c. What is the probability that in the next six​ 18- to​ 29-year-olds surveyed, at least four will own a​ tablet?

The probability is ____

​(Type an integer or a decimal. Round to four decimal places as​ needed.)

d. What are the mean and standard deviation of the number of​ 18- to​29-year-olds who will own a tablet in a survey of​ six?

The mean number of​ 18- to​ 29-year-olds who own tablets out of six surveyed is _____

​(Type an integer or a decimal. Round to four decimal places as​ needed.)

The standard deviation of the number of​ 18- to​ 29-year-olds who own tablets out of six surveyed is

nothing.

​(Type an integer or a decimal. Round to four decimal places as​ needed.)

Use the following information to answer the next questions: A five-sided die is rolled 100 times. Conduct a hypothesis test to determine if the die is fair. Use a 5% level of significance.
Observed Rolls: One=10; Two=29; Three=16, Four=15, Five=30
Expected Rolls: All the categories of rolls are the same

What test are you running?

What is the observed values of one for the rolled die?

What is the observed values of two for the rolled die?

What is the observed values of three for the rolled die?

What is the observed values of four for the rolled die?

What is the observed values of five for the rolled die?

What is the expected values of one,two,three,four,five for the rolled die?

What are the degrees of freedom?

What is the null hypothesis?

What is the alternative hypothesis?

What is the test statistic? Use one decimal place.

What is the p-value? Use three decimal places.

What is your conclusion based on the p-value and the level of significance?

At the 5% significance level, what can you conclude?

When 75 patients were randomly selected, the mean length of wait time was found to be 28 days and the standard deviation was 5.6 days. Because of waiting issues, wait times would slightly go up. What would be the steps to test the claim that wait times have a mean of LESS THAN 38 days if you used a 0.05 significance level?

An experiment was conducted to see the effectiveness of two antidotes to three different doses of a toxin. The antidote was given to a different sample of participants five minutes after the toxin. Twenty-five minutes later the response was measured as the concentration in the blood. What can the researchers conclude with α = 0.01?

a) What is the appropriate test statistic?
---Select--- na one-way ANOVA within-subjects ANOVA two-way ANOVA

b) Compute the appropriate test statistic(s) to make a decision about H₀.
Antidote: critical value =  ; test statistic =
Decision:  ---Select--- Reject H0 Fail to reject H0

Dose: critical value =  ; test statistic =
Decision:  ---Select--- Reject H0 Fail to reject H0

Interaction: critical value =  ; test statistic =
Decision:  ---Select--- Reject H0 Fail to reject H0

a team of educational researchers want to assess the learning outcomes of courses that are offered in traditional face-to-face classroom as compare with online sections. section 1 (traditional classroom) consisted 101 students and section 2 (online class) were 105 students. At the end of the semester the researchers measured achievement scores. students in section 1 had an average of 85 with standard deviation of 6.5 and section 2 (online) earned an average of 78.0 with standard deviation of 9.5. is there a significant difference between the traditional and online class outcomes? at 95% level, apply five-step hypothesis testing and interpret the result.

Suppose the average female brain size (in cubic centimeters) is estimated to be 3370cubic centimeters. A 1905 study by R.J. Gladstone measured the brain size of 103randomly selected deceased female subjects. The data provided show the brain sizes of each of the subjects.

Click to download the data in your preferred format.

Excel: