QUESTIONS:

1. Does the water temperature have an effect on the number of people in the pool? 2. Does the weather have an effect on the number of people at the beach? 3. A fitness center is running a discounted membership fee. Did the discount increase the membership sales? Make sure the hypotheses is written mathematically. 4. A medical researcher gave 100 patients a new drug to see if it reduces their blood pressure? Did the new drug reduce the patients' blood pressure? Make sure the hypotheses is written mathematically. 5. Some students took a conflict resolution class? Did this class help to reduce the number of conflicts that the students were involved in? Make sure the hypotheses is written mathematically. For questions 6-10, find the critical value. 6. There is an annual hot dog eating contest in Plattsburg, MS and the average number of hot dogs eaten by one person is 36 with a standard deviation of 6. Find the critical value for a person who can eat more than 2 deviations above the mean. 7. Female high school seniors at a particular school have an average height of 65 inches with a standard deviation of 5 inches. Find the critical value for a female high senior who is less than 1 deviation below the mean. 8. The average weight of a newborn at a particular hospital is 96 ounces with a standard deviation of 3 ounces. Find the critical value for a newborn who is 2 standard deviations below the average weight.

For #9 and #10, your conclusion needs to include the values of the critical value to the test statistic (null hypothesis), whether you reject or fail to reject the null hypothesis, and then the statement about what you were asked to determine.

9. A company found that 27 out of 150 of its products were defective after retraining its employees. If the company normally has a 40% defective product rate, find the critical value to determine if retraining the employees helped to minimize the number of defective products. 10. A teacher gives 200 students a study guide for a test and the average score was 90 with a standard deviation of 6. She did not give the other 200 students a study guide and their average score was 70 with a standard deviation of 8. Determine whether or not the study guide helped students to increase their test score.

MY ANSWERS:

1. The null and alternative hypothesis

The null hypothesis : H₀: Water temperature has no effect on the number of people in the pool

The altenative hypothesis : H_a: Water temperature ha an effect on the number of people in the pool 2. The null and alternative hypothesis

The null hypothesis : H₀: Weather has no effect on the number of people at the beach

The altenative hypothesis : H_a: Weather has an effect on the number of people at the beach 3. The null and alternative hypothesis

The null hypothesis : H₀: The discount did not increase the membership sales

The altenative hypothesis : H_a: The discount did increased the membership sales

Using the average membership sales, this can be written mathematically as follows

H0:12vsHa:1>2

The average membership sales before and after the discount

4. The null and alternative hypothesis mathematically.

• Consider their average blood pressure before and after the new drug. The null and alternative hypothesis are as follows

The null hypothesis : H₀: The new drug does not reduce their blood pressure

The altenative hypothesis : H_a: The new drug reduces their blood pressure

• This can be stated mathematically as follows

H0:BA0vsHa:BA>0 5. The null and alternative hypothesis mathematically.

• Consider their average number of conflicts before and after the conflict resolution class. The null and alternative hypothesis are as follows

The null hypothesis : H₀: The class did not help to reduce the number of conflicts that the students were involved in

The altenative hypothesis : H_a: The class helped to reduce the number of conflicts that the students were involved in

• This can be stated mathematically as follows

H0:BA0vsHa:BA>0 6.

• =36 and =6 More than 2 deviations means z is 2.
• The number of hotdogs

x=+z36+(26)=36+12=48

• the critical value for a person who can eat more than 2 deviations above the mean

z>2,x>48hotdogs

7.

• =65 and =5 , less than 1 deviation below the mean implies that z is -1
• The height

x=+z65+(15)=60inches

• The critical value for a female high senior who is less than 1 deviation below the mean.

z<1,x<60inches 8. The critical value for a newborn who is 2 standard deviations below the average weight.

• =96 and =3 , 2 standard deviations below the average weight. implies that z = -2
• the critical value for a newborn who is 2 standard deviations below the average weight.

z=2,x=+zx=96(23)=90ounces

9.

This is a hypothesis test for the population proportion. Perform a Z-test.

The null and alternative hypothesis

H0:p=0.4vsHa:p<0.4

• The sample proportion is

p^=nx=15027=0.18

• The z statistic

z=np(1p)p^pz=1500.40(10.40)0.180.40=5.5

• Reject the null hypothesis.
• Conclusion : Retraining the employees helped to minimize the number of defective products.

10.

• Hypothesis.

H0:12vsHa:1>2

• z statistic

z=n112+n222x1x2=20036+200649070=28.28427

• Reject the null hypothesis.
• Conclusion. The study guide helped students to increase their test score

MY TEACHERS RESPONSE:

#3, 4, 5 - These ask you to write the mathematical hypotheses such as

sample mean = population mean sample mean < population mean sample mean > population mean sample mean population mean

#9 and #10 - I'm not following some of your work which is leading to an incorrect value in #9. For both #9 and #10, please write the null and alternative hypotheses in words. Then use the format in the lesson to write a complete conclusion. Remember, communicating the results is just as important as the work you do to get there.

PLEASE SHOW ME HOW TO DO THIS