Find the p-value using the tcdf on your calculator

Assignment Help Basic Statistics

Reference no: EM132336036

Statistics T-Test for a Population Mean Assignment -

Q1. A manufacturer of sprinkler systems designed for fire protection claims that the average activating temperature is 135^oF. A consumer rights activist believes that the average temperature is actually lower than this. To test the claim, he randomly selects a sample of 32 sprinkler systems and finds the mean activation temperature to be 133^oF with a standard deviation of 3.3^oF. At α = 0.10, does he have enough evidence to reject the manufacturer's claim?

(a) State the null and alternative hypotheses.

(b) Calculate the T-test statistic using the formula.

t = (x^- - μ₀)/(s/√n)

Round your answer to 2 decimal places.

(d) Find the p-value using the tcdf on your calculator. Round your answer to 4 decimal places.

DISTR

(Go to 2nd Type tcdf(leftbound, rightbound, degrees of freedom).) VARS

(e) State your decision (reject the null hypothesis or fail to reject the null hypothesis).

(f) State your conclusion about the population mean activating temperature.

Q2. A scientist claims that the mean nitrogen dioxide level in a certain city is greater than 30 ppb (parts per billion). To test this claim, you determine the nitrogen dioxide levels on 20 randomly selected days. The results (in ppb) are shown below. At α = 0.01, do you have enough evidence to support the scientist's claim?

29 37 45 35 30 41 40 44 42 33 34 30 30 43 26 40 25 42 30 27

(a) State the null and alternative hypotheses.

(b) A normal probability plot and box-plot of the data are shown below. Do the plots indicate that the data comes from a normal distribution and contains no outliers?

(d) Give the p-value.

(e) State your decision.

(f) State your conclusion about the population mean nitrogen dioxide level.

Q3. Use the T-test on your graphing calculator to test the hypotheses H₀: μ = 75 at the significance H₁: μ ≠ 75 level α = 0.05. The sample statistics are x^- =76.2, s = 5.3, n = 64.

(a) Give the value of the test statistic and the degrees of freedom.

(b) Give the P-value.

(d) Use the TInterval procedure to construct a 95% confidence interval for the population mean.

(e) Does this interval contain μ₀ = 75? Does this confirm the decision you made in part (c)?

Note - Must use a scientific calculator.

Reference no: EM132336036

Questions Cloud

Discuss ways your organization uses technology : Discuss ways your organization uses technology to gather patient and health care information, and how this information and data are used to direct patient care.

Write article analysis and evaluation of research ethics : Search the GCU Library and find one new health care article that uses quantitative research. Do not use an article from a previous assignment, or that appears.

Describe situations in which you have used defense mechanism : Describe two situations in which you have used a defense mechanism and include the name of the defense mechanism, the general situation, and how the mechanism

Evaluate descriptive statistics for data : Summary and Descriptive Statistics. Every year the National Cancer Institute collects and publishes data based on patient demographics. Understanding difference

Find the p-value using the tcdf on your calculator : Statistics T-Test for a Population Mean Assignment - Find the p-value using the tcdf on your calculator. Round your answer to 4 decimal places

Discussing what might be the first step in addressing issue : What is the main issue for your organization in addressing a solution to evidence-based nursing practice? Discuss what might be first step in addressing issue.

Multifunctional upper extremity rehab machine. : This project aims to build multifunctional upper extremity rehab machine. This device will help the patient with hands limited function to recover faster

What are the educational and community-based programs : Write a 500-750 word description of your proposed capstone project topic. Make sure to include the following: A description providing a high level of detail.

Management of knowledge and organizational learning : How does strategic management of knowledge and organizational learning uses the strategic frameworks and tools.

User Account

All Pages