Question

In: Statistics and Probability

How many tissues should a package of tissues contain? Researchers have determined that a person uses...

How many tissues should a package of tissues contain? Researchers have determined that a person uses an average of 61 tissues during a cold. Suppose a random sample of 10,000 people yielded the following data on the number of tissues used during a cold:

X-bar (mean): 47

s= 20

α= 0.01

Conduct a hypothesis test based on the data and be sure to write out all of the steps (hypothesis, test statistic, statistical decision and practical decision)

Solutions

Expert Solution

Given that the sample size is and sample mean , sample standard deviation .
The hypotheses are

Since the sample size is very large, we use z-distribution.

The test statistics is

The P-value of the test is

Since the p-value is , statistical decision is we reject the null hypothesis.

Conclusion: We are 99% confident that the average number of tissues during a cold is different from 61.

-----------------------------------------------------------------------------------------------------------------------------------------------

For a left side test (one sided), the hypotheses are

The P-value of the test is

Since the p-value is , statistical decision is we reject the null hypothesis.

Conclusion: We are 99% confident that the average number of tissues during a cold is less than 61.

You can use either of these tests.

orchestra answered 1 year ago

Next > < Previous

Related Solutions

Researchers determined that 60 tissues is the mean number of tissues(μ) used during a cold. Suppose...

Researchers determined that 60 tissues is the mean number of tissues(μ) used during a cold. Suppose a random sample of 64 Kleenex users (n) yielded the following data on the number of tissues used during a cold: sample Mean (X bar) = 57.5, S = 4. Suppose the alternative you wanted to test was H1: μ ≠ 60. State the correct rejection region for α = 0.1. Select one: a. Reject H0 if t < -1.6694 or t >1.6694. b....

1. Many tissues retain the ability to renew themselves and to repair damage because they contain...

1. Many tissues retain the ability to renew themselves and to repair damage because they contain a few __ a. terminally differentiated cells b. stem cells c. telomerase molecules d. centromeres 2. what type(s) of stem cell can be used to provide cells for repair of diseased tissue? a. pluripotent b. adult. c. induced pluripotent 3. what type(s) of stem cell can differentiate into a large number of cell types a. adult b. induced pluripotent c. pluripotent 4. Golden Rice...

How many variables should an experiment have?

Write a program that uses an array for time and temperature. The program should contain an...

Write a program that uses an array for time and temperature. The program should contain an array with 24 elements, each of which is holding a temperature for a single hour. Your program should have a function that lists all of the temperatures that are held in the array. Temperatures should be listed to console with one entry per line. Your program should have a function that lists a single temperature entry. You should ask the user for a number...

The Environmental Protection Agency has determined that safe drinking water should, on average, contain no more...

The Environmental Protection Agency has determined that safe drinking water should, on average, contain no more than 1.3 mg/liter of copper. You are testing water from a new source, and take 31 water samples. The mean copper content in your samples is 1.46 mg/l and the standard deviation is 0.18 mg/l. (a) Is there convincing evidence at the α = 0.05 significance level that the water from this source contains unsafe levels of copper? (Do a 4-step process) (b) Referring...

Create a Java class named Package that contains the following: Package should have three private instance...

Create a Java class named Package that contains the following: Package should have three private instance variables of type double named length, width, and height. Package should have one private instance variable of the type Scanner named input, initialized to System.in. No-args (explicit default) public constructor, which initializes all three double instance variables to 1.0. Initial (parameterized) public constructor, which defines three parameters of type double, named length, width, and height, which are used to initialize the instance variables of...

Many marketing researchers have their favorite research approaches or techniques, although different researchers often have different...

Many marketing researchers have their favorite research approaches or techniques, although different researchers often have different preferences. Some researchers maintain that the only way to really learn about consumers or brands is through in-depth, qualitative research. Others contend that the only legitimate and defensible form of marketing research involves quantitative measures. List the question first and then answer each question (copy and paste). The next question, list the question and then answer it. This is the correct format to answer...