Math

StatisticsQ&A Library3. A medical researcher examined the number of asthma attacks patients had both before andwhile using an advanced air purifier. Seven patients were included in the study. The number ofasthma attacks for each patient before and during using the air purifier is reported below. Use a05, 2-tailedDuringPurifier4PatientBeforePurifier1729831274566106754a. State the null and alternative hypotheses belowb. What type of test should be run on the data (be specific with the exact name of the test)? Forexample, don't just state "t test," but the specific t test used.c. What is the conclusion of the hypothesis test? State the p-value and the decision about thehypothesis test below. (Don't write the results here that will be done in (e) below-just state pand whether Ho is rejected.)co On otQuestion

Asked Nov 18, 2019

1 views

I have attached the picture for review. Please answer section A, B, C.

Step 1

**a)Hypotheses and level of significance:**

Denote *μ*_{1} and *μ*_{2} as the mean number of asthma attacks before and while using an advanced air purifier. Thus, the difference in mean number of asthma attacks is *μ _{d}* =

The hypotheses to be tested are:

Null hypothesis:

*H*_{0}: The mean number asthma attacks are same before and while using an advanced air purifier, that is, *μ _{d}* = 0.

Alternative hypothesis:

*H*_{1}: The mean number asthma attacks are not same before and while using an advanced air purifier, that is, *μ _{d}* ≠0.

The level of significance is given as *α* = 0.05.

Step 2

**b)Paired t-test statistic:**

In order to test a hypothesis regarding whether the difference between a paired set of *n* observations (*x _{i}*,

**c) Conclusion of the hypothesis test:**

The test statistic for the paired *t*-test is given as follows:

Step 3

The following table shows the necessary calcul...

Tagged in

Find answers to questions asked by student like you

Show more Q&A

Q: When taking a 15 question multiple choice test, where each question has five possible answers, it wo...

A: From the given information,

Q: Replacement of paint on highways and streets represents a large investment of funds by state and loc...

A: According to the provided data, the sample mean is 19.8 and the sample standard deviation is 1.5 and...

Q: Following is a sample of 5 mathched pairs. Sample 1 19 15 16 23 24 Sample 2 18 19 10 14 17 ...

A: (a)The differences is,

Q: The average wait time to get seated at a popular restaurant in the city on a Friday night is 11 minu...

A: State the appropriate null and alternative hypotheses:Let μ be the mean wait times for 14 randomly s...

Q: This is a statistics class practice question

A: From the given information, the different routes and their total distance are obtained as follows:Ro...

Q: Suppose x has a distribution with μ = 45 and σ = 14. Find P(41 ≤ x ≤ 46).

A: The probability between 41 and 46 is,

Q: Suppose that the number of Facebook friends users have is normally distributed with a mean of 128 an...

A: (b)The conditions for the t-distribution is appropriate as given below:If the sample size is larger ...

Q: Private nonprofit four-year colleges charge, on average, $27,914 per year in tuition and fees. The s...

A: From the given information, mean (μ) = $27,914 and standard deviation (σ) = $6,717.(a)Given data nor...

Q: the following display from a TI-84 plus Calculator presents the results of a hypothesis test for a p...

A: It is provided that the sample size (n) = 47.In one sample t-test degree of freedom is calculated by...