Which graph represents the solution set of the inequality 3x + 2y < 4?
1 answer:
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Complete Question
It has been found from experience that the mean breaking strength of a particular brand of thread is 9.72 oz with a standard deviation of 1.4 oz. Recently a sample of 36 pieces of thread showed a mean breaking strength of 8.93 oz. Can one conclude at a significance level of (a) 0.05, (b) 0.01 that the thread has become inferior?
Answer:
At both and
the conclusion is that the thread has become inferior
Step-by-step explanation:
From the question we are told that
The population mean is
The standard deviation is
The sample size is n = 36
The sample mean is
The null hypothesis is
The alternative hypothesis is
Generally the test statistics is mathematically represented as
=>
=>
So
The p-value obtained from the z- table is
So at
So we reject the null hypothesis,hence we conclude that the thread has become inferior
So at
So we reject the null hypothesis,hence we conclude that the thread has become inferior