A researcher wants to test if the mean price of houses in an area is greater than $145,000. Suppose we make the test at the 2% significance level. A sample of 36 houses selected from this area produces a mean price of $149,750 and a standard deviation of $24,600. What is the value of the test statistic?

The value of the test statistic is 1.158.

Step-by-step explanation:

We are given that a researcher wants to test if the mean price of houses in an area is greater than $145,000.

A sample of 36 houses selected from this area produces a mean price of $149,750 and a standard deviation of $24,600.

Let = mean price of houses in an area.

SO, Null Hypothesis, :  $145,000   {means that the mean price of houses in an area is smaller than or equal to $145,000}

Alternate Hypothesis, : > $145,000   {means that the mean price of houses in an area is greater than $145,000}

The test statistics that will be used here is One-sample t test statistics as we don't know about the population standard deviation;

                      T.S.  =  ~

where,  = sample mean price of houses selected = $149,750

             s = sample standard deviation = $24,600

             n = sample of houses = 36

So, test statistics  =    ~     

                               =  1.158

The value of the test statistic is 1.158.

x = 2

step-by-step explanation:

if sr parallel to ba then the sides bc and ac are in proportion, that is

= ← substitute values

= ( cross- multiply )

27x = 6(4x + 1)

27x = 24x + 6 ( subtract 24x from both sides )

3x = 6 ( divide both sides by 3 )

x = 2