Project #24980 - Statistics HW

Exercise-2: You have to test the null hypothesis in each test; reading, math, citizenship, science.

 

Hypothesis testing for all is provided as a solution.

 

 

The state of Ohio Department of Education has a mandated ninth‐grade proficiency test that covers writing,

reading, mathematics, citizenship (social studies), and

science. The Excel file  Ohio Education Performance  provides data on success rates (defined as the percentage

of students passing) in school districts in the greater

Cincinnati metropolitan area along with state averages.

Test the null hypothesis that the average score in the

Cincinnati area is equal to the state average in each test

and for the composite score.

 

 

 

 

 

Exercise-4: It has two parts:

 

 

 

a) Ho = the average profit per customer for this industry was at least $4,500 that is >=

 

$4,500

 

H1 = The average profit per customer is < $4,500

 

 

 

b) Ho = The average profit per customer is <= $4,500

 

H1 = The average profit per customer is > $4,500

 

 

 

 

The Excel file  Sales Data  provides data on a sample of

customers. An industry trade publication stated that

the average profit per customer for this industry was

at least $4,500. Using a test of hypothesis, do the data

support this claim or not? The company believes that

their average profit exceeds $4,500. Test a hypothesis to

determine if there is evidence to support this.

 

 

 

Exercise-6: Use z-test of hypothesis for the proportion.

 

a) Ho: proportion ≥ .30

 

H1: proportion < .30

 

 

 

Number of items of interest, you can count in column G.

 

An employer is considering negotiating its pricing structure for health insurance with its provider if there is sufficient evidence that customers will be willing to pay

a lower premium for a higher deductible. Specifically,

they want at least 30% of their employees to be willing to do this. Using the sample data in the Excel file

Insurance Survey, determine what decision they should

make.

 

 

 

Exercise: 9: In a), b), c), use t-test statistic and in d) use z-test statistic.

 

Using the data in the Excel file  Consumer Transportation

Survey,  test the following null hypotheses:

 a.   Individuals spend at least 10 hours per week in

their vehicles.

 b.   Individuals drive an average of 450 miles per week.  

 c.   The average age of SUV drivers is no greater than 35. 

 d.   At least 75% of individuals are satisfied with their

vehicles.

 

 

 

 

 

 

 

 

 

 

Exercise-12:

 

Ho: Average # of vacations for married people >= Average # of vacations for single divorced

 

people

 

H1: Average # of vacations for married people < Average # of vacations for single divorced

 

people

 

 

 

Use Separate-Variances t Test for the Difference Between Two Means in PHstat. Select

 

Lower-Tail test.

 

 

 

Determine if there is evidence to conclude that the mean

number of vacations taken by married individuals is less

than the number taken by single/divorced individuals

using the data in the Excel file  Vacation Survey

 

 

 

Exercise: 16:

 

a) H0: Average call time without cart ≤ Average call time with cart

 

H1: Average call time without cart > Average call time with cart b) H0: Proportion of back injuries without cart ≤ Proportion of back injuries with cart

 

H1: Proportion of back injuries without cart > Proportion of back injuries with cart

 

This will be upper-tail test.

 

 

 

 

 

A study of nonfatal occupational injuries in the United

States found that about 31% of all injuries in the service sector involved the back. The National Institute

for Occupational Safety and Health (NIOSH) recommended conducting a comprehensive ergonomics assessment of jobs and workstations. In response

to this information, Mark Glassmeyer developed a

unique ergonomic handcart to help field service engineers be more productive and also to reduce back injuries from lifting parts and equipment during service

calls. Using a sample of 382 field service engineers

who were provided with these carts, Mark collected

the following data:  

 

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Exercise-25: There are three types of cell phones: basic, camera, and smart. Use column

 

F: Value for the Dollar to apply ANOVA.

 

 

Using the data in the Excel file  Cell Phone Survey,  apply

ANOVA to determine if the mean response for Value

for the Dollar is the same for different types of of cell

phones.

 

 

 

Exercise: 27

 

Using the data in the Excel file  Freshman College Data,

use ANOVA to determine whether the mean retention

rate is the same for all colleges over the 4‐year period.

Second, use ANOVA to determine if the mean ACT and

SAT scores are the same each year over all colleges. If

the null hypothesis is rejected, apply the Tukey–Kramer

multiple comparison procedure to identify significant

differences.

Subject General
Due By (Pacific Time) 03/13/2014 08:00 pm
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