Answer:
The score that cuts off the bottom 2.5% is 48.93.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean and standard deviation , the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
What is the score that cuts off the bottom 2.5%
This is X when Z has a pvalue of 0.025, so X when Z = -1.96.
The score that cuts off the bottom 2.5% is 48.93.
Answer:
$360
Step-by-step explanation:
If Shelly wants 6 rose bushes, and each bush costs $40, then you can multiply 6 by 40 to find the total amount of money Shelly will spend on them if she plants them herself. 6 x 40 = 240. You can then subtract 240 from 600 to find the amount of money she saves. 600 - 240 = 360
<h2>
Answer with explanation:</h2>
Given : The proportion of New Zealanders consume five or more servings of soft drinks per week :
a) The number of survey respondents reported that they consume five or more servings of soft drinks per week = 2006
b) Confidence interval for population proportion (p) :
, where = Sample proportion.
n= Sample size.
z* = Critical value.
For n= 2006 , and critical value for 95% confidence interval : z* = 1.96
Then , the required confidence interval will be :
i.e. A 95% confidence interval for the proportion of New Zealanders who report that they consume five or more servings of soft drinks per week. =
c)
176\times100\%)[/tex]
d) The estimate might be biased because the survey is taken online that means offline New Zealanders are out of consideration.
Answer:
Prime
Step-by-step explanation:
Answer:
(2, -6)
Step-by-step explanation:
5n^2+20n-60
(5n+30)(n-2)
5n + 30 = 0
5n = -30
(5n = -30)/5
n = - 6
n - 2 = 0
n = 2
answer: (2, -6)