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Answer: 97.72%
Step-by-step explanation:
Given : A shoe manufacturer collected data regarding men's shoe sizes and found that the distribution of sizes exactly fits the normal curve.
Let x be the random variable that represents the shoe sizees.
Also, The population mean = ; Standard deviation:
Formula for z:-
Put x= 8, we get
Now, the probability that the male shoe sizes are greater than 8 :-
Hence, the percent of male shoe sizes are greater than 8 is 97.72%.
Answer:
The 95% confidence interval is
Step-by-step explanation:
From the question we are told that
The first sample size is
The first sample mean is
The first standard deviation is
The second sample size is
The second sample mean is
The second standard deviation is
Generally the degree of freedom is mathematically represented as
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=>
Generally the standard error is mathematically represented as
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=>
From the question we are told the confidence level is 95% , hence the level of significance is
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Generally from the t distribution table the critical value of at a degree of freedom of is
Generally the margin of error is mathematically represented as
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Generally 95% confidence interval is mathematically represented as
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