A null and alternative hypothesis are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. \( H_{0}: \sigma \geq 8.2 \) \( H_{a}: \sigma<8.2 \) What type of test is being conducted in this problem? A. Right-tailed test B. Left-tailed test C. Two-tailed test

Die Erdbevölkerung betrug 1960 3.0 Milliarden, 20046.4 Milliarden. a) Wie viel betrug die mittlere jährliche Zunahme (in Prozent)? b) Gleiche Zunahme vorausgesetzt: Wie viele Menschen würden im Jahre 2050 die Erde bevölkern? c) Ein UNO-Bericht rechnet für 2050 mit einer Bevölkerungszahl von 8.9 Milliarden. Berechnen Sie die mittlere jährliche Zunahme ab 2004. d) Die 50 ärmsten Länder werden, gemäss Prognose, von 600 Millionen 2004 auf 1.7 Milliarden 2050 wachsen. Welche mittlere jährliche Zunahme ab 2004 wird hier erwartet?

A researcher rejects the null hypothesis only if the obtained statistical results show: that it is likely that the null is true. that it is unlikely that the null is true. that it is likely that the alternative hypothesis is false. that is unlikely that the alternative hypothesis is false.

The null hypothesis: predicts that the treatment will have no effect. predicts that the treatment will have an effect. is denoted by the symbol H1. is always stated in terms of sample statistics.

If we say that we have statistically significant results, we mean that the results are: very important. meaningless. likely to be due to chance differences between to be due to true differences between the groups.

The estimated standard error (SM), provides a measure of the average discrepancy between: a score ( x ) and the population mean ( \( \mu \) ). a sample mean (M) and the population mean ( \( \mu \) ). the sample standard deviation ( s ) and the population standard deviation ( \( (\mathrm{O} \) ).