Question

please can any one solve this
1. For each part, state the null (H0) and alternative (H1) hypotheses.
a) Does the mean age of onset of a certain acute disease for schoolchildren differ from 11.5?
b) A psychologist claims that the average IQ of a sample of 60 children is significantly above the normal IQ of 100.
c) Is the mean hemoglobin level of high-altitude workers different from 16 g/cm3?

2. Test the hypothesis that a normally distributed population has a mean blood glucose level of 100 (σ2 = 100). Suppose we select a random sample of 30 individuals from this population (X2 = 98.1, S2 = 126).
a) What is the hypothesis set (null and alternative) for a two-tailed test?
b) Find the statistic value. (t or z)
c) What decision should we make, i.e., reject or fail to reject H0 at theα=0.05 level; reject or fail to reject H0 at theα= 0.01 level?
Explain your answer.

Answer 1

a) Does the mean age of onset of a certain acute disease for schoolchildren differ from 11.5?


Null Hypothesis : \(\large \mu = 11.5\)
Alternate Hypothesis : \(\large \mu \ne 11.5\)

Answer 2

a) Does the mean age of onset of a certain acute disease for schoolchildren differ from 11.5?
H0: m = 11.5 H1 : m ≠ 11.5
The null hypothesis states that the mean will remain unchanged, and the alternative hypothesis states that it will be different. This is a two-tailed test, since the age could be lowered or raised

Answer 3

c) Is the mean hemoglobin level of high-altitude workers different from 16 g/cm3?
H0: m = 16g/cm3 H1 : m ≠ 16g/cm3
The null hypothesis states that the mean will remain unchanged, and the alternative hypothesis states that it will be different. This is a two-tailed test, since the hemoglobin level could be lowered or raised.