IB Questionbank

Directly related questions

18M.1.hl.TZ0.7b.ii: Find the critical value for ${\bar x}$ if she wants the probabilities of a Type I error and a...
18M.1.hl.TZ0.7b.i: She decides to use the same acceptance criteria as the previous investigator. Find the...
18M.1.hl.TZ0.7a: An investigator wishes to test the hypotheses H0 : μ = 65, H1 : μ > 65. He decides on the...
18M.1.hl.TZ0.14b: The null hypothesis μ = 46.5 is tested against the alternative hypothesis μ < 46.5 at the λ%...
16M.1.hl.TZ0.4d: State the conclusions that the president of the club should reach from this test, giving reasons...
16M.1.hl.TZ0.4c: (i) Find unbiased estimates of $\mu$ and ${\sigma ^2}$ . (ii) Find the value of the...
16M.1.hl.TZ0.4b: (i) Give a reason why a $t$ test is appropriate and write down its degrees of...
16M.1.hl.TZ0.4a: State suitable hypotheses.
17M.1.hl.TZ0.1b: Calculate unbiased estimates of the mean and the variance of the weights of this breed of bird.
17M.1.hl.TZ0.1a: State suitable hypotheses for testing the above claim using a two-tailed test.
15M.2.hl.TZ0.2c: Test, at the $1\%$ level of significance, the null hypothesis $\mu = 35$ against the...
15M.1.hl.TZ0.14: Sarah is the quality control manager for the Stronger Steel Corporation which makes steel sheets....
11M.1.hl.TZ0.1a: Bottles of iced tea are supposed to contain 500 ml. A random sample of 8 bottles was selected and...
09M.2.hl.TZ0.1B.b: What is the critical region for the sample mean if the probability of a Type I error is to be...
09M.2.hl.TZ0.1B.c: If the mean weight of the bags is actually $28$ .1 kg, what would be the probability of a Type...
09M.2.hl.TZ0.1B.a: State and justify an appropriate test procedure giving the null and alternate hypotheses.
07M.2.hl.TZ0.2b: An automatic machine is used to fill bottles of water. The amount delivered, $Y$ ml , may be...
12M.1.hl.TZ0.5a: The shopkeeper claims that when one of the coins is tossed, the probability of obtaining a head...
SPNone.2.hl.TZ0.2b: The farm manager claims that the mean weight of apples is $100$ grams but the buyer from the...

DP Further Mathematics HL Questionbank

3.6

Description

Directly related questions

Sub sections and their related questions

Null and alternative hypotheses, ${H_0}$ and ${H_1}$ .

Significance level.

Critical regions, critical values, $p$ -values, one-tailed and two-tailed tests.

Type I and II errors, including calculations of their probabilities.

Testing hypotheses for the mean of a normal population.

DP Further Mathematics HL Questionbank

3.6

Description

Directly related questions

Sub sections and their related questions

Null and alternative hypotheses, H0{H_0} and H1{H_1} .

Significance level.

Critical regions, critical values, pp-values, one-tailed and two-tailed tests.

Type I and II errors, including calculations of their probabilities.

Testing hypotheses for the mean of a normal population.

Null and alternative hypotheses, ${H_0}$ and ${H_1}$ .

Critical regions, critical values, $p$ -values, one-tailed and two-tailed tests.