Purchase Solution

Value of Z test, two-tail alternative & p-value

Not what you're looking for?

Ask Custom Question

I) Given a sample of n1=40 from a population with known standard deviation,sigma1=20 and an independent sample of n2=50 from another population with known standard deviation, sigma2=10, what is the value of the Z test statistic for testing H0:u1=u2 if sample mean1=72 and sample mean2=66?

ii) In the above, what is your decision, if you are testing H0:u1=u2 against two-tail alternative h1:u1 is not equal to u2, using the level of significance alpha=0.01?

iii) What is the p-value in (i), if you are testing H0:u1=u2 against the two tail alternative h1:u1 is not equal to u2?

Purchase this Solution
Solution Summary

The solution determines a value of z test, two-tail alternative and p-value.

Solution provided by:
Sandhya Sharma, MSc
Education
  • BSc, Meerut University
  • MSc, Meerut University
  • MPhil, Institute of Advanced Studies
  • MSc, AIT
Recent Feedback
  • "Perfect, thank you so much!!! I will definitely request you in the future! You are amazing!"
  • "Thank you. "
  • "Thank you so much I have two more that I need your help with if your available."
  • "Thank you, I was wondering why you rejected me the first time."
  • "Thanks again."
Purchase this Solution
Free BrainMass Quizzes
Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.

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.

View More Free Quizzes
Related BrainMass Solutions

  • One Tail/Two Tail Rejection Regions

    For each of the following testa dn z values, determine the p-value for the test: a. left-tail test and z = -1.62 b. right-tail test and z = 1.43 c. two-tail test and z = 1.27 Solution: a.

  • Hypothesis Testing of Mean

    Z-Test: Mean hours Mean Standard Deviation Observations Hypothesized Mean SIGMA z Stat P(Z < = z) one-tail z Critical one-tail P(Z < = z) two-tail z Critical

  • One-Tailed and Two-Tail Hypothesis Tests

    p= 0.15 Level of Significance 0.05 Number of Successes 30 Sample Size 300 Intermediate Calculations Sample Proportion 0.1 Standard Error 0.020615528 Z Test Statistic -2.42535625 Two-Tail Test Lower Critical Value -1.959963985

  • Hypothesis & P Value

    The p- value is the area in the two tails (for a 2-tail test) or the area in the single tail (for a one-tail test) of the normal distribution with the given μ and σ.

  • True or False Questions & Hypothesis Testing

    1.644853627 P(Z<=z) two-tail 6.09384E-10 z Critical two-tail 1.959963985.

  • Hypothesis Testing Using Normal Distribution

    7512 Intermediate Calculations Standard Error of the Mean 32.1861 Z Test Statistic 1.926295206 Two-Tail Test Lower Critical Value -1.959963985 Upper Critical Value 1.959963985 p-Value

  • Hypothesis Testing of Mean & Proportion

    Z Test Statistic -3.572175839 Two-Tail Test Lower Critical Value -2.58 Upper Critical value 2.58 p-Value 0.000354028 Reject the null hypothesis 8.

  • Hypothesis Testing explained in this solution

    Cumulative probability corresponding to the obtained z value of 2.0651 is 98.05% Thus the area in the right tail= 1.95% =100% -98.05% P-value= 1.95% For the null hypothesis to hold the area in the right tail should at least

  • Population mean, one-tail test, p-value, standard deviation

    Population mean, one-tail test, p-value and standard deviation is examined.

View More Related Solutions