Question 1 [4 points] Southwest Consulting is a well established company with thousands of employees and they want to estimate the average age of their workers. A sample of 49 employees was taken. Assuming the population has a standard deviation of 5.7, we want to find a 99% confidence interval for the population mean. If the mean of the sample is 29.6, what is the confidence interval estimate? For full marks your answer should be accurate to at least two decimal places. Confidence Interval: ( 0 , 0 ) Question 2 [10 points] A doctor at a walk-in clinic is studying high blood pressure among patients of the ages twenty to forty. According to the American Heart Association, a person has high blood pressure if their Systolic and Diastolic readings are above 139 and 89 respectively. A random sample of 10 patients revealed the following blood pressures, where the readings (x,y) correspond to (Systolic,Diastolic) blood pressures. (120,84) (159,90) (129,84) (130,89) (180,110) (130,85) (180,120) (180,110) (190,110) (190,110) Assume that the population distribution is normal. For full marks your answer should be accurate to at least two decimal places.
Added by Tatenda T.
Close
Step 1
6, and the population standard deviation (Ļ) is 5.7. We are asked to find a 99% confidence interval for the population mean. The formula for a confidence interval is xĢ Ā± Z * (Ļ/ān), where Z is the Z-score corresponding to the desired level of confidence. For a Show moreā¦
Show all steps
Your feedback will help us improve your experience
Hoan Nguyen and 74 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Please provide the following information. (a) What is the level of significance? State the null and alternate hypotheses. (b) Check Requirements What sampling distribution will you use? Do you think the sample size is sufficiently large? Explain. Compute the value of the sample test statistic and corresponding $z$ value. (c) Find the $P$ -value of the test statistic. Sketch the sampling distribution and show the area corresponding to the $P$ -value. (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level $\alpha$ ? (e) Interpret your conclusion in the context of the application. Medical: Hypertension This problem is based on information taken from The Merck Manual (a reference manual used in most medical and nursing schools). Hypertension is defined as a blood pressure reading over $140 \mathrm{~mm} \mathrm{Hg}$ systolic and/or over $90 \mathrm{~mm}$ Hg diastolic. Hypertension, if not corrected, can cause long-term health problems. In the college-age population (18-24 years), about $9.2 \%$ have hypertension. Suppose that a blood donor program is taking place in a college dormitory this week (final exams week). Before each student gives blood, the nurse takes a blood pressure reading. Of 196 donors, it is found that 29 have hypertension. Do these data indicate that the population proportion of students with hypertension during final exams week is higher than $9.2 \%$ ? Use a $5 \%$ level of significance.
Hypothesis Testing
Testing a Proportion $p$
A random sample of patients at a hospital became part of a nutrition study on dietary habits. Part of the study consisted of a survey asking about types of foods consumed. Each of the questions was scored on a scale from one (most unhealthy) to five (most healthy ). The answers were averaged. A prior study conducted at the hospital showed that such averages follow a Normal distribution. The population of interest is the patients at the hospital. If researchers sample n = 20 subjects and wish to calculate a 90% confidence interval, the critical value t* is: A. 2.845 B. 2.861 C. 2.093 D .2.086 E. 1.725 F. 1.729 . A sample of n = 20 patients produced the following statistics: x(bar) = 3.3 and s = 1.2. The 90% confidence interval for the mean survey score is: A. (2.738, 3.682) B. (2.378, 4.222) C. (2.836, 3.764) D. (2.532, 4.068) E. (2.738, 3.861) F. (2.635, 3.965) .
Ajiboye T.
One tailed test
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD