T2 parametric & non parametric tests

A test is conducted for H 0: μ = 34, with σ = 5. A sample of size 100 is selected. The standard error of the sampling distribution is

• 0.05
• 0.5
• 5
• 0.34

A test is conducted for H 0: μ = 20, with σ = 4. A sample of size 36 has a mean of 21.40. The test statistic is

• 0.35
• 2.1
• 12.6

A z-test is conducted for H 0: μ = 9.0 vs. H a: μ ≠ 9.0. The test statistic is –1.44. Correct conclusions are

• Reject at both 5% and 10% level of significance
• Reject at 5% but not at 10%
• Reject 10% but not at 5%
• None of the above

If a 99% confidence interval is constructed to estimate μ with a known σ for two tail, the correct critical values for z are

• 1.96
• 2.33
• 2.58
• 1.65

The critical value of z for a two tail 90% confidence interval is

• 1.29
• 1.65
• 1.96
• 2.33

For a random sample of 9 women, their average resting pulse rate is 76 beats per minute, and the sample standard deviation is 5. The standard error of the sample mean is

• 0.557
• 0.745
• 1.667
• 2.778

Assume the cholesterol levels in a certain population have mean µ= 200 and standard deviation σ = 24. The cholesterol levels for a random sample of n = 9 individuals are measured and the sample mean is determined. What is the z-score for a sample mean = 180?

• -3.75
• -2.5
• -0.83
• 2.5

Null and alternative hypotheses are statements about:

• population parameters.
• sample parameters.
• sample statistics.
• it depends - sometimes population parameters and sometimes sample statistics.

Which of the following is NOT true about the standard error of a statistic?

• The standard error increases as the sample size(s) increases.
• The standard error can never be a negative number.
• The standard error is the estimated standard deviation of the sample distribution

It is known that for right-handed people, the dominant (right) hand tends to be stronger. For left-handed people who live in a world designed for right-handed people, the same may not be true. To test this, muscle strength was measured on the right and left hands of a random sample of 15 left-handed men and the difference (left - right) was found. The alternative hypothesis is one-sided (left hand stronger). The resulting t-statistic was 1.80. This is an example of:

• Two sample (Large) T test
• Paired T Test
• Two sample (small) T test
• None of the above