Answer:
Step-by-step explanation:
We are given the following in the question:
The needle size should not be too big and too small.
The diameter of the needle should be 1.65 mm.
We design the null and the alternate hypothesis

Sample size, n = 35
Sample mean,
= 1.64 mm
Sample standard deviation, s = 0.07 mm
Type I error:
- It is the error of rejecting the null hypothesis when it is true.
- It is also known as false positive error.
- It is the rejecting of a true null hypothesis.
Thus, type I error in this study would mean we reject the null hypothesis that the average diameter is 1.65 mm but actually the average diameters of the needle is 1.65 mm.
Thus, average diameter is 1.65 mm and we decide that it is not 1.65 mm.
Answer:
Meaning
Step-by-step explanation:
Answer:
<u>The probability that both companies become profitable is 0.03 or 3%.</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Probability of biotechnology start-up company of becoming profitable = 0.2
Probability of information technology start-up company of becoming profitable = 0.15
2. Assume the companies function independently What is the probability that both companies become profitable?
We will answer this question, assuming these are independent events, this way:
Probability that both companies become profitable = Probability of biotechnology start-up company of becoming profitable * Probability of information technology start-up company of becoming profitable
Replacing with the values given, we have:
Probability that both companies become profitable = 0.2 * 0.15 = 0.03
<u>The probability that both companies become profitable is 0.03 or 3%.</u>