## Large sample test for mean, Applied Statistics

Assignment Help:

Large Sample Test for Mean

A random sample of size n (n > 30) has a sample mean . To test the hypothesis that the population mean μ has a specified value  μ0 let us formulate the Null Hypothesis as H0:   μ = μ0 .

The Alternative Hypothesis is (i) H1:    μ ≠ μ0   or (ii) H1:    μ > μ0   or (iii) H1:    μ < μ0  . Since n is large, the sampling distribution of is approximately normal.

If H0 is true, the test statistic z = has approximately a standard normal distribution. The critical region for z depending on the nature of H1 and level of significance  α is given below:

 Level of significance ( α ) 10% 5% 1% Critical region for  μ ≠ μ0 | z |   > 1.64 | z |  > 1.96 | z | >  2.58 Critical region for  μ > μ0 z    < -1.28 z   < -1.64 z <  -2.33 Critical region for  μ < μ0 z    > 1.28 z > 1.64 z >   2.33

#### Probability, In 120 tosses of a coin, 45 heads and 75 tails are observed. ...

In 120 tosses of a coin, 45 heads and 75 tails are observed. Is this a balanced coin? Use a=0.05. (Follow the basic steps of hypothesis testing)

#### Statistical procedures - estimation of a mean, Old Faithful Geyser in Yello...

Old Faithful Geyser in Yellowstone National Park derives its names and fame from the regularity (and beauty) of its eruptions. Rangers usually post the predicted times of eruptions

#### STATISTICS, Ask 3. Precision Manufacturing has a government contract to pro...

Ask 3. Precision Manufacturing has a government contract to produce stainless steel rods for use in military aircraft. Each rod is required to be 20 millimeters in diameter. Each

#### Latin Square design, what is the the Latin Square design? What is its appli...

what is the the Latin Square design? What is its application in research? please explain this term with very simple but with detailed explanation for effective understanding. I hav

#### Primary and secondary data, Primary and Secondary Data: Primary Data: ...

Primary and Secondary Data: Primary Data: These data are those are collected for the first time. Thus primary data are original in character and gathered   by actual observat

#### Correlation and Regression with SPSS, Where do I Access the gss04student_co...

Where do I Access the gss04student_corrected dataset

#### Calculate the frequency distribution, The Neatee Eatee Hamburger Joint spec...

The Neatee Eatee Hamburger Joint specializes in soyabean burgers. Customers arrive according to the following inter - arrival times between 11.00 am and 2.00 pm: Interval-arrival

#### Type of variable in regression analysis, Type of Variable in Regression Ana...

Type of Variable in Regression Analysis There are two types of variable in regression analysis. These are: a.      Dependent variable b.      Independent variable

#### Chi Square Test, Application of the chi Square Test

Application of the chi Square Test

#### Calculate unbiased estimate of the variance, This question has two parts wi...

This question has two parts with multiple items to answer. You are a psychologist who has collected the subjective well-being scores of a number of elderly people aged 90 or abo  