Question

 

You are conducting a study to determine if there is a significant difference between typical salaries of surgeons and stock brokers (in thousands of dollars). Calculate the test-statistic, t with the following sample data.

n1=35    ¯x1=204   s1=7

n2=45   x2=209   s2=5

Round 2 Decimal Places

You are testing the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats.

You sample 90 men, and 80% own cats.

You sample 190 women, and 55% own cats.

Find the proportion of the pooled samples, (pcpc), as a decimal, rounded to two decimal places.

You are performing a right-tailed matched-pairs test with 35 pairs of data.

If α=.05 find the critical value, to two decimal places.

A survey of 50 people was conducted to compare their self-reported height to their actual height. The difference between reported height and actual height was calculated.

You're testing the claim that the mean difference is greater than 1.3.

From the sample, the mean difference was 1.35, with a standard deviation of 0.52.

Calculate the test statistic, rounded to two decimal places

Answer 1

Question 1:

Manually:

On calculator:

On calculator, press STAT . Select Tests, then  2-SamTTest.

Enter data as follow:

Press enter. Following is the screen shot of the results:

The test statistics is -3.58

The p-value is: 0.0007