Purchase Solution

Null Hypothesis Statement

Not what you're looking for?

Ask Custom Question

(See attached file for full problem description with all symbols)

1. A coin-operated drink machine was designed to discharge a mean of ounces of coffee per cup. Suppose that we want to carry out a hypothesis test to see if the true mean discharge differs from . State the null hypothesis and the alternative hypothesis that we would use for this test.

Ho: ________________________
H1: ________________________

2. The mean height of a certain kind of plant is centimeters. Suppose we want to carry out a hypothesis test to see if the mean height of plants treated with a certain chemical differs from . State the null hypothesis and the alternative hypothesis that we would use for this test.

Ho: ________________________
H1: ________________________

3. A furniture store claims that a specially ordered product will take, on average, = days (4 weeks) to arrive. The standard deviation of these waiting times is days. We suspect that the special orders are taking longer than this. To test this suspicion, we track a random sample of special orders and find that the orders took a mean of days to arrive. Can we conclude at the level of significance that the mean waiting time on special orders at this furniture store exceeds 28 days?
Perform a one-tailed test. Then fill in the table below.
Carry your intermediate computations to at least three decimal places, and round your responses as specified in the table.
The Null Hypothesis Ho: ________________
The Alternative Hypothesis: H1: ________________
The type of test statistic: _________________
The value of the test statistic: _________________
The p-value: __________________
Can we conclude that the mean waiting time on special orders at the furniture store exceeds 29 days. YES or NO

4. A manufacturer claims that the mean lifetime, , of its light bulbs is months. The standard deviation of these lifetimes is months. Ninety bulbs are selected at random, and their mean lifetime is found to be months. Can we conclude, at the level of significance, that the mean lifetime of light bulbs made by this manufacturer differs from months?
Perform a two-tailed test. Then fill in the table below.
The Null Hypothesis Ho: ___________________
The Alternative Hypothesis: H1: ___________________
The type of test statistic: _____________________
The value of the test statistic: _____________________
The two critical values at the 0.01 level of significance: ____________________
Can we conclude that the mean lifetime of light bulbs made by this manufacturer differs from 44 months? _______________________

5. A college professor claims that the entering class this year appears to be smarter than entering classes from previous years. He tests a random sample of of this year's entering students and finds that their mean IQ score is , with standard deviation of . The college records indicate that the mean IQ score for entering students from previous years is . If we assume that the IQ scores of this year's entering class are normally distributed, is there enough evidence to conclude, at the level of significance, that the mean IQ score, , of this year's class is greater than that of previous years?
Perform a one-tailed test.
The Null Hypothesis Ho: ______________________
The Alternative Hypothesis: H1: ______________________
The type of test statistic: ________________________
The value of the test statistic: ________________________
The two critical values at the 0.05 level of significance: _____________________
Can we conclude, using the 0.05 level of significance, that the mean IQ score of this year's class is greater than that of previous years? YES or NO

6. A rental agent claims that the mean monthly rent, , for apartments on the east side of town is less than . A random sample of monthly rents for apartments on the east side has a mean of , with a standard deviation of . If we assume that the monthly rents for apartments on the east side are normally distributed, is there enough evidence to conclude, at the level of significance, that is less than ?
Perform a one-tailed test
The Null Hypothesis Ho: ____________________
The Alternative Hypothesis: H1: ____________________
The type of test statistic: ______________________
The value of the test statistic: ______________________
The two critical values at the 0.01 level of significance: ______________________
Using the 0.1 level of significance, can we conclude that the mean monthly rent for apartments on the east side is less than $750? YES or NO

Attachments
Purchase this Solution
Solution Summary

To state null and alternative hypothesis of given problems.

Purchase this Solution
Free BrainMass Quizzes
Know Your Statistical Concepts

Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.

Measures of Central Tendency

Tests knowledge of the three main measures of central tendency, including some simple calculation questions.

Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.

Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.

View More Free Quizzes
Related BrainMass Solutions

  • Why does hypothesis testing involve double-negative logic?

    For instance, the negation of the statement "The null hypothesis H0 is accepted" is "The null hypothesis H0 is NOT accepted".

  • Hypothesis Testing: Internet Usage for a Company

    Perform a hypothesis test to examine this statement by the author: "The average internet usage for a country in 2017 is 60%." ● Write a null hypothesis and alternate hypothesis. ● Interpret type 1 and type 2 errors for the null hypothesis.

  • Difference between the Null and the alternate Hyppthesis

    298470 Null Hypothesis Explain the difference between the null hypothesis and the alternate hypothesis in 150-200 words. How is the null hypothesis chosen (why is it null)?

  • Setting null hypothesis

    71817 Correct statement of the null hypothesis If the intent for research is to try to prove the null hypothesis is true without giving any indication that something else may be proved (alternate hypothesis), then, what is the proper format for stating

  • Null and Alternate Hypothesis-Idea you wish to test

    What is the importance of rejecting the null hypothesis in relation of the sample to the population? With a failure to reject the null hypothesis, can we make a general statement about the population based on the sample findings?

  • What is the Null Hypothesis?

    With a failure to reject the null hypothesis, can we make a general statement about the population based on the sample findings?

  • Hypothesis Test for Student Test Score

    Write the null hypothesis statement for COMM INVOLVEMENT:::: Write the alt. hypothesis statement for COMM INVOLVEMENT:::: Does COMMUNITY INVOLVEMENT have significance?

  • Hypothesis Testing

    Which of the following is the correct decision statement for the test? A. Reject the null hypothesis B. Claim the null hypothesis is validated C. Fail to reject the null hypothesis D.

  • Difference Between the Null and Alternate Hypothesis

    Therefore, no general statement about the population can be made in this case. The solution discusses the difference between the null and alternate hypothesis.

  • Null, alternative and one tail testing

    This statement tells the researcher under what circumstances the null hypothesis will be rejected. Knowing which statistic follows which distribution (z or t) is also important to the test.

View More Related Solutions