1. Suppose you want to test the claim that the mean does not equal 3.5. Given a sample size of n = 31 and a level of significance of when should you reject H0 ?

a. Reject H0 if the standardized test statistic is greater than 2.33 or less than -2.33
b. Reject H0 if the standardized test statistic is greater than 1.645 or less than -1.645.
c. Reject H0 if the standardized test statistic is greater than 2.575 or less than -2.575.
d. Reject H0 if the standardized test statistic is greater than 1.96 or less than -1.96

2. Find the standardized test statistic to test the claim that 1 = 2. Two samples are randomly selected from each population. The sample statistics are given below.

n1=40 n2=35
x1=4 x2=5
s1=2.5 s2=2.8

1. -2.6 2. -1.0 3. -1.6 4. -0.8

Solution Preview

To answer this question we need the missing value for level of significance. I will tell which option is correct for various significance levels, so you check the level of significance in question and select the correct one.

a. Reject H0 if the standardized test statistic is greater than ...

Solution Summary

The solution outlines when to reject the hypothesis based on the measure of the standardized test statistic and level of significance. The solution also provides a standardized test statistic in order to test a given claim with the provided samples.

... The null hypothesis tested is. ... (b) Find the critical value (s) and identify the rejection region(s). (c) Find the standardized test statistic. ...

... e. Find the p-value. ... Intermediate Calculations Standard Error of the Mean 0.387298335 Degrees of Freedom ... Lower-Tail Test Calculations Area Lower Critical Value ...

... (c) Find the standardized... Intermediate Calculations Standard Error of the Mean 1.788854382 Degrees of ... Lower-Tail Test Calculations Area Lower Critical Value ...

...Find the correlation coefficient ... Intermediate Calculations Standard Error of the Mean 0.156524758 Degrees ... Lower-Tail Test Calculations Area Lower Critical Value ...

... the mean daily cost of meals and lodging is $285 and the standard deviation is ... If necessary, find the P-value ... A z-test is preferable when the sample size, n > 30 ...

...Find the critical values for the hypothesis test. ... Answer Critical values are obtained from the standard normal table at the 0.01 significance level. ...

... Since our test statistic (1.06) is much less as compared to the ... a level of confidence of 99% and a population standard deviation of 10 ... (A) To find the Maximum ...

... the sampling distribution to be used: the standard normal distribution or ...Find the critical values. ... c. Compute the z or t value of the sample test statistic. ...

... error of proportion For a confidence interval we find the error in estimation as z critical x standard error of ... is equivalent to a two-tailed test at a ...