Answer: 0.9147
Step-by-step explanation:
Given: 20% of the plants ordered are petunias.
Let p = 20% = 0.2
Sample size: n = 120
If they follow normal distribution, then mean = np = 120x 0.2 = 24
Standard deviation =
The probability that no more than 30 plants are petunias :
Hence, the probability that no more than 30 plants are petunias = 0.9147
Answer: Reject if the confidence interval <u>does not</u> contain the value of the hypothesized mean .
Step-by-step explanation:
In the case of Confidence Intervals and Two-Tailed Hypothesis Tests,
Null hypothesis : [There is no change in mean.]
Alternative hypothesis: [There is some difference.]
Since confidence intervals contain the true population parameter ( mean).
So, Decision rule states that
- Reject if the confidence interval <u>does not </u>contain the value of the hypothesized mean .
- We do not reject if the confidence interval contains the value of the hypothesized mean .
Here we're dividing a fraction (5/8) by another fraction. We could obtain the same result by inverting the divisor (2/5) and then multiplying (5/8) by (5/2).
The product is 25/16.
Thus, 2/5 divides into 5/8 25/16 times, or 1 9/16 times.