Purchase Solution

Test of hypothesis using t distribution

Not what you're looking for?

Ask Custom Question

(a) At alpha (a) =.05, does the following sample show that daughters are taller than their mothers?
(b) Is the decision close?
(c) Why might daughters tend to be taller than their mothers? Why might they not?

Family Daughters Height(CM) Mothers Height (CM)
1 167 172
2 166 162
3 176 157
4 171 159
5 165 157
6 181 177
7 173 174

Purchase this Solution
Solution Summary

Tests the hypothesis that the daughters are taller than their mothers.

Solution Preview

(a) At alpha (a) =.05, does the following sample show that daughters are taller than their mothers?
(b) Is the decision close?
(c) Why might daughters tend to be taller than their mothers? Why might they not?

Family Daughters Height(CM) Mothers Height (CM)
1 167 172
2 166 162
3 176 157
4 171 159
5 165 157
6 181 177
7 173 174

(a) At alpha (a) =.5, does the following sample show that daughters are taller than their mothers?
First calculate the mean and standard deviation of the two sample.

Daughters Height(CM)
X= X 2 =
167 27889
166 27556
176 30976
171 29241
165 27225
181 32761
173 29929
Total= 1199 205577
n=no of observations= 7
Mean= 171.29 =1199/7

variance={summation of X 2 - n(Mean) 2 }/(n-1)= 32.5252 =(205577-7*171.29^2)/(7-1)
standard deviation =square root of Variance= 5.7031 =square root of 32.5252

Mothers' Height(CM)
X= X 2 =
172 29584
162 26244
157 24649
159 25281
157 24649
177 31329
174 30276
Total= 1158 192012
n=no ...

Purchase this Solution
Free BrainMass Quizzes
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.

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.

Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.

View More Free Quizzes
Related BrainMass Solutions

  • Paired Difference Test

    So the critical value of the test is given by, = - 1.3049 [Using Excel this can be computed using the formula =-(TINV(2*0.10,37)) ] Since t = - 4.7081 < - 1.3049= , we reject the null hypothesis. Thus we can conclude that .

  • Hypothesis Testing: Internet Usage for a Company

    Using a t-distribution table with df = 20, alpha = 0.05 and two tails, the critical t values are -2.086 and 2.086 Please see the Excel file for details of the calculations.

  • Introduction to a T test

    The comparison distribution used (for example, a t-distribution of 20 degrees of freedom , a t-distribution of 32 degrees of freedom, etc.) Answer is: a t-distribution of 7 degrees of freedom c.

  • Perform a hypothesis testing for one mean using t distribution

    625075 Perform a hypothesis testing for one mean using t distribution Conduct a one-tailed hypothesis test given the information below. A manufacturer wants to increase the shelf life of a line of cake mixes.

  • Sample Size, Sample Error, and Sum of Squares

    With o= .01, the two tailed critical region for a t test using a sample of n=16 subjects would have boundaries of : *t= ±2.602 *t= ± 2.921 *t=± 2.947 *t= ± 2.583 On average, what value is expected for the t statistic when the null hypothesis is true

  • Multiple choice questions

    A hypothesis test produces a t statistic of t = 2.30. If the researcher is using a two-tailed test with alpha = .05, how large does the sample have to be to reject the null hypothesis? A. at least n = 8 B. at least n = 9 C.

  • Test of Hypothesis with Significance Level Provided

    Preliminary data analyses indicate that you can reasonably use a t-test to conduct each hypothesis tests required for exercise 9.70. Perform each t-test, using either the critical-value approach or the P-value approach.

  • Perform a hypothesis test using t distribution

    598331 Perform a Hypothesis Test Using t Distribution The medium size serving frozen yogurt has an average of 4 ounces. A random sample has 14 servings with a mean of 4.31 ounces and a standard deviation of 52 ounces.

  • Conducting a 5-step Hypothesis Testing

    ) Probability Type of test (one or two tailed) Degrees of freedom total Cutoff score Step 4 (Determine your sample's score on the comparison distribution) t score: Step 5 (Decide whether to reject the null hypothesis).

  • T-Test on Adaption to Physical Environment

    The comparison distribution used (for example, a t-distribution of 20 degrees of freedom , a t-distribution of 32 degrees of freedom, etc.) c.

View More Related Solutions