We have an exponential with a fractional base and a positive exponent, and a positive sign at front. Each time we multiply a fraction between zero and one by itself it gets smaller. So as x increases we'll go to zero. As x decreases it goes to positive infinity, as negative powers are the reciprocals of positive power.
The left end approaches positive infinity and the right end approaches zero.
The normal rule to remember is 68-95-99.7, i.e. plus or minus three sigma corresponds to 99.7% of the probability. That leaves 0.3% in the two tails, or 0.15% in the tail above 3 sigma.
Answer: 0.15%
Answer:
The correct option is a
Step-by-step explanation:
From the question we are told that
The population mean is 
The standard deviation is 
The sample size is n = 9
The null hypothesis is 
The alternative hypothesis is 
The level of significance is 
The sample mean is 
Generally the test statistics is mathematically represented as

=> 
=> 
From the z table the area under the normal curve to the right corresponding to 1.2 is

Generally the p-value is mathematically represented as

=> 
=> 
From the value obtained w can see that
hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is there is not enough evidence to support the claim
Answer:
37.5 in
Step-by-step explanation:
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Given:
mean = 64
standard deviation = 6
sample size = 50
Standard error of the sample mean = standard deviation / √sample size
Standard error = 6 / √50 = 6/7.07 = 0.85