Answer:
x = 4
Explanation:
Given the expression;
Add 4 to both sides
Square both sides
Hence the value of x is 4
Tram leaves Piccadilly to Eccles every 9 minutes and to didsbury every 12 minutes. A tram to Eccles and a tram to didsbury both
1 answer:
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Answer:
0.2236 = 22.36% probability that the sample mean would be greater than 70.5 kilograms.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Also, important to remember that the standard deviation is the square root of the variance.
Normal probability distribution:
Problems of normally distributed samples are solved using 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.
Central limit theorem:
The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation
, the sample means with size n of at least 30 can be approximated to a normal distribution with mean
and standard deviation
In this problem, we have that:
What is the probability that the sample mean would be greater than 70.5 kilograms?
This is 1 subtracted by the pvalue of Z when X = 70.5. So
By the Central limit theorem
has a pvalue of 0.7764
1 - 0.7764 = 0.2236
0.2236 = 22.36% probability that the sample mean would be greater than 70.5 kilograms.
Answer:
Step-by-step explanation:
From the given information:
The sample size is 28
The population mean is 24.5 (ppb)
The sample mean is 225.3 (ppb)
Thus, the null and the alternative hypothesis can be computed as:
Null hypothesis:
Alternative hypothesis: