Answer:
a) Binomial.
b) n=20, p=0.01, k≥2
The probability hat a package sold will be refunded is P=0.0169.
Step-by-step explanation:
a) We know that
- the defective probability is constant and independent.
- the sample size is bigger than one subject.
The most appropiate distribution to represent this random variable is the binomial.
b) The parameters are:
- Sample size (amount of clips in the package): n=20
- Probability of defective clips: p=0.01.
- number of defective clips that trigger the money-back guarantee: k≥2
The probability of the package being refunded can be calculated as:
Answer:
f(x) = -2x³ +17x² -32x +23
Step-by-step explanation:
It is usually sufficient to try the values of a couple of points in the offered answer selections to see which one fits.
You have not provided any choices, so I have used the polynomial regression function of a graphing calculator to compute the cubic that will represent these ordered pairs exactly.
Answer:
The p-value of the test is 0.0207.
Step-by-step explanation:
Test of the claim that more than 60% of the people following a particular diet will experience increased energy (H1: p > 0.6).
The null hypothesis is:
The alternate hypothesis is:
The test statistic is:
In which X is the sample mean, is the value tested at the null hypothesis, is the standard deviation and n is the size of the sample.
0.6 is tested at the null hypothesis:
This means that
Of 100 randomly selected subjects who followed the diet, 70 noticed an increase in their energy level.
This means that
Test statistic:
P-value of the test:
The p-value of the test is the probability of finding a sample proportion of at least 0.7, which is 1 subtracted by the p-value of z = 2.04.
Looking at the z-table, z = 2.04 has a p-value of 0.9793
1 - 0.9793 = 0.0207
The p-value of the test is 0.0207.
Answer:
the unit rate is 30 miles 1 gallon