What is the slope and y-intercept of the graph of the equation?
2 answers:
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Answer:
a
b
c
There is sufficient evidence to show that the population mean is less than 20
d
e
The decision rule is
Reject the null hypothesis
f
The conclusion is
There is sufficient evidence to show that the population mean is less than 20.
Step-by-step explanation:
From the question we are told that
The null hypothesis is
The alternative hypothesis is Ha: µ < 20
The sample size is n = 50
The sample mean is
The level of significance is
The population standard deviation is
Generally the test statistics is mathematically represented as
=>
=>
From the z table the area under the normal curve to the left corresponding to -2.12 is
Generally the p-value is
From values obtained we see that hence
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to show that the population mean is less than 20.
Generally form the normal distribution table the critical value at a level of significance of is
Generally given that
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to show that the population mean is less than 20.