A two-tailed hypothesis test for H0: μ = 20 at α = .05 is analogous to asking if a 95 percent confidence interval for μ contains 20: a) True b) False

We want to investigate the correlation between concentration of Se (Selenium) in the teeth and its concentration in the liver in 20 Beluga 240 220 Whales. We suspect that the higher the concentration in the liver, the higher the concentration in the teeth. A plot of the data is given at right, and the following summary statistics are given for these data: 200 180 160 x = 20.68 Sx = 13.45 y = 156.60 Sy = 36.06 140 Se = 31.25 Before actually computing its value (that is, by just looking at the scatterplot), how do we know that r > 0 (rather than r = 0 or r < 0)? r = 0.54 120 10 20 30 40 Liver Se (ug/g dry wt) Tooth Se (ng/g dry wt)

A 95% confidence interval for the population mean μ was calculated to be (–0.3, 10.2), and the 90% confidence interval on the same set of data was calculated to be (0.5, 9.4).     Which one of the following would be a possible p-value for the hypotheses: Ho : μ = 0 versus H1 : μ ≠ 0 ? a) 0.0648 b)0.05 c)0.0162 d)0.0324 e)0.1296

Suppose a sample size of 103 was used to conduct a left tailed hypothesis test for a single population mean. The null hypothesis was H0:μ=22H0:μ=22 and the p-value was 0.04. Then there is a 4% chance that the population mean is equal to 22. True or false?

A researcher is using a one-tailed hypothesis test with α = .01 to evaluate the effect of a treatment. If the critical/cut-off value is t = 2.479, how many individuals are in the sample

a). sample avg: 2.369 σ 2 = 10.0 samples: 30 data comes from a Gaussian, but we don't know the true mean. What is the 95% confidence interval around this sample avg.   b). sample avg: 2.369 σ 2 = 10.0 samples: 30 What is the 95% confidence interval around this sample avg without assuming the samples are Gaussian.

Suppose that we have a problem for which the null and alternative hypothesis are given by: H0: μ = 63.8 minutes. H1: μ > 63.8 minutes. Is this a right-tailed test, left-tailed test, or two-tailed test. Find the z value based on a level of significance of α=.07.

For a​ two-tailed hypothesis test at the significance level α​,the null hypothesis H0​: μ=μ0 will be rejected in favor of the alternative hypothesis Ha​: μ≠μ0 if and only if μ0 lies outside the (1−α)-level confidence interval for μ. Illustrate the preceding relationship by obtaining the appropriate​ one-mean t-interval for the summary statistics provided. Complete parts​ (a) and​ (b).  According to a​ survey, the average person watched 4.35 hours of television per day in 2005. A random sample of 20 people were asked for the number of hours of television watched per day for last year. At the 10​% significance​ level, the data do not provide sufficient evidence to conclude that the amount of television watched per day last year by the average person differed from that in 2005.​ (Note: x=4.752 hours and= s=2.384 ​hours.)   The confidence interval is ​(Round to three decimal places as​ needed.)   According to a national study the average consumer unit spent ​$1739 on apparel and services…

Let π denote some population proportion of interest and suppose a 99% confidence interval for π is calculated to be (0.60, 0.70). Also, suppose we want to test the hypotheses H0:π=0.74  and  HA:π≠0.74 .   What can you say about the corresponding p-value?  The corresponding p-value will be smaller than 0.01.   The corresponding p-value will be smaller than 0.05 but larger than 0.01.   The corresponding p-value will be larger than 0.05.   I can't say anything about the corresponding p-value until I run the test.

The P-value for a two-sided test of the null hypothesis H0: μ = 10 is 0.03.(a) Does the 95% confidence interval for μ include 10? Why or why not?(b) Does the 99% confidence interval for μ include 10? Why or why not?