Fichas
Hypothesis Tests
Fichas del conjunto (23)
- 1It is known that 78% of patients recover from a disease without treatment. In a trial, 100 patients take a new drug and 85 recover. Jacob believes this provides evidence that the drug is effective...
- 2Party Z received 36% of the vote in the last general election. In a recent survey of 80 people, 25 indicated they would vote for Party Z. Does this provide evidence that support for the party has changed?
- 3Gavin has a six-sided die. He believes it shows more 5s than it should.
- 4Blood testosterone levels are normally distributed with mean 24nmol/L and standard deviation 6nmol/L. A sprinter gives two samples after a race with an average blood testosterone level of 34nmol/L. Does this provide evidence that their testosterone level is above the mean?
- 5The national mean score in Mathematics GCSE was 4.73 with standard deviation 1.21. A sample of 50 students from a particular school had mean 4.81. i) State two assumptions necessary to carry out a hypothesis test to see if the mean was higher in this school.1. The standard deviation has not changed.
2. The sample was random.
[NOT population normally distributed, as sample size is large enough for CLT.] - 6The national mean score in Mathematics GCSE was 4.73 with standard deviation 1.21. In a sample of 50 students from a particular school had mean 4.81. ii) State the hypotheses in a test to see if the mean was higher in this school.
- 7The correlation coefficient between the mass and height of students in a sample of six students was 0.85. State the hypotheses for a test of whether mass and height are positively correlated.
- 8The correlation coefficient between the amount of water used in a town and the temperature over a 30-day period is 0.85. Jane thinks there is a correlation between water used and temperature. State the null and alternative hypotheses she should use to test her suspicion.
- 9—
- 10—
- 11—
- 12—
- 13—
- 14—
- 15—
- 16—
- 17—Independent
(and no others)
- 18—No effect.
(Linear Scaling does not affect PMCC)
- 19—
- 20—
- 21—
- 22—
- 23—Underlying distribution not normal (and sample size is small).
[To use the Wilcoxon signed-rank test you need to believe that the distribution is symmetrical and suspect its median value.]
Información
- Descripción
- State the hypotheses given the set up, plus the occasional word question.
- Creado por
- Donal OHara
- Visitas
- 173
- Valoración