Question

The following data are given for a two-factor ANOVA with two treatments and three blocks. Treatment...

The following data are given for a two-factor ANOVA with two treatments and three blocks.

Treatment
Block 1 2
A 42 32
B 33 20
C 48 39

  

Using the 0.05 significance level conduct a test of hypothesis to determine whether the block or the treatment means differ.

  1. State the null and alternate hypotheses for treatments.

H0 options:

  • The means are different.
  • The means are the same.
  • The standard deviations are different.
  • The standard deviations are the same.

H1 options:

  • The means are different.
  • The means are the same.
  • The standard deviations are different.
  • The standard deviations are the same.
  1. State the decision rule for treatments. (Round your answer to 1 decimal place.)

Reject or Do not reject H0 if the test statistic is greater than ____.

  1. State the null and alternate hypotheses for blocks. (Round your answer to 1 decimal place.)

H0 options:

  • At least one mean is different.
  • The means are the same.
  • The standard deviations are different.
  • The standard deviations are the same.

H1 options:

  • At least one mean is different.
  • The means are the same.
  • The standard deviations are different.
  • The standard deviations are the same.

Also, state the decision rule for blocks.

Reject or Do not reject H0 if the test statistic is greater than ____.

  1. d & e. Compute SST, SSB, SS total, and SSE and complete an ANOVA table. (Round your SS, MS values to 3 decimal places and F value to 2 decimal places.)

Source SS df MS F
Treatments
Blocks
Error
Total
  1. Give your decision regarding the two sets of hypotheses.

Decision: Treatments Reject or Do not Reject H0
Decision: Blocks Reject or Do not Reject H0

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The following data are given for a two-factor ANOVA with two treatments and three blocks.   ...
The following data are given for a two-factor ANOVA with two treatments and three blocks.    Treatment Block 1 2 A 43 31 B 33 22 C 46 36    Using the 0.05 significance level conduct a test of hypothesis to determine whether the block or the treatment means differ. State the null and alternate hypotheses for treatments. State the decision rule for treatments. (Round your answer to 1 decimal place.)    State the null and alternate hypotheses for blocks....
The following is sample information. Test the hypothesis that the treatment means are equal. Use the...
The following is sample information. Test the hypothesis that the treatment means are equal. Use the 0.02 significance level. Treatment 1 Treatment 2 Treatment 3 7            2            5            8            3            7            6            5            10            7            3            6            a. State the null hypothesis and the alternate hypothesis. H0:                (The treatment means are not all the same or The treatment means are the same?) H1:                (The treatment means are not all the same or The treatment means are...
The following is sample information. Test the hypothesis that the treatment means are equal. Use the...
The following is sample information. Test the hypothesis that the treatment means are equal. Use the 0.02 significance level. Treatment 1 Treatment 2 Treatment 3 3            10            4            8            6            6            3            9            3            5            7            10            a. State the null hypothesis and the alternate hypothesis. H0:                (Click to select)  The treatment means are not all the same.  The treatment means are the same. H1:                (Click to select)  The treatment means are the same.  The treatment means are not all...
The following is sample information. Test the hypothesis that the treatment means are equal. Use the...
The following is sample information. Test the hypothesis that the treatment means are equal. Use the 0.01 significance level. Treatment 1 Treatment 2 Treatment 3 10            7            8            8            8            7            6            8            6            9            4            8            a. State the null hypothesis and the alternate hypothesis. H0:                (Click to select)  The treatment means are the same.  The treatment means are not all the same. H1:                (Click to select)  The treatment means are the same.  The treatment means are not all...
The following is sample information. Test the hypothesis that the treatment means are equal. Use the...
The following is sample information. Test the hypothesis that the treatment means are equal. Use the 0.01 significance level. Treatment 1 Treatment 2 Treatment 3 10            4            3            4            5            5            9            5            6            7            9            6            a. State the null hypothesis and the alternate hypothesis. H0:                (Click to select)  The treatment means are not all the same.  The treatment means are the same. H1:                (Click to select)  The treatment means are the same.  The treatment means are not all...
The following data were obtained for a randomized block design involving five treatments and three blocks:...
The following data were obtained for a randomized block design involving five treatments and three blocks: SST = 510, SSTR = 370, SSBL = 95. Set up the ANOVA table. (Round your value for F to two decimal places, and your p-value to three decimal places.) Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value Treatments Blocks Error Total Test for any significant differences. Use α = 0.05. State the null and alternative hypotheses. H0: Not...
Given the following sample information, test the hypothesis that the treatment means are equal at the...
Given the following sample information, test the hypothesis that the treatment means are equal at the 0.05 significance level. Treatment 1 Treatment 2 Treatment 3 3 9 6 2 6 3 5 5 5 1 6 5 3 8 5 1 5 4 4 1 7 4 6 4 (a) State the null hypothesis and the alternate hypothesis. Ho : ?1 (>, <, or =) incorrect ?2 = (<,>, or =) ?3. H1 : Treatment means are not ___ all...
Each of three supermarket chains in the Denver area claims to have the lowest overall prices....
Each of three supermarket chains in the Denver area claims to have the lowest overall prices. As part of an investigative study on supermarket advertising, a local television station conducted a study by randomly selecting nine grocery items. Then, on the same day, an intern was sent to each of the three stores to purchase the nine items. From the receipts, the following data were recorded. At the 0.025 significance level, is there a difference in the mean price for...
An experiment has been conducted for four treatments with seven blocks. Complete the following analysis of...
An experiment has been conducted for four treatments with seven blocks. Complete the following analysis of variance table. (Round your values for mean squares and F to two decimal places, and your p-value to three decimal places.) Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value Treatments 900 Blocks 200 Error Total 1,600 Use α = 0.05 to test for any significant differences. State the null and alternative hypotheses. H0: At least two of the population...
In an experiment designed to test the output levels of three different treatments, the following results...
In an experiment designed to test the output levels of three different treatments, the following results were obtained: SST = 320, SSTR = 130, nT = 19. Set up the ANOVA table. (Round your values for MSE and F to two decimal places, and your p-value to four decimal places.) Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value Treatments Error Total Test for any significant difference between the mean output levels of the three treatments....
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT