Answer all parts A,B,C,D,E,F The following random sample was selected from a normal distribution: 4, 6, 3, 5, 9, 3. a. Construct a 90% confidence interval for the population mean. b. Construct a 95% confidence interval for the population mean. c. Construct a 99% confidence interval for the population mean. d. Assume that the sample mean x and sample standard deviation s remain exactly the same as those you just calculated but are based on a sample of n = 25 observations rather than n = 6 observations. Repeat parts a–c. What is the effect of increasing the sample size on the width of the confidence intervals? e. Use Rejection region to test the null hypothesis that the mean of the population is 6 against the alternative hypothesis, ?<6. Use ? = .05. f. Use p-Value to test the null hypothesis that the mean of the population is 6 against the alternative hypothesis, ? ≠6. Use ? = .05.
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Equations and inequalities describe the relationship between two mathematical expressions.
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A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
Answer all parts A,B,C,D,E,F
The following random sample was selected from a
a. Construct a 90% confidence interval for the population
b. Construct a 95% confidence interval for the population mean.
c. Construct a 99% confidence interval for the population mean.
d. Assume that the sample mean x and sample standard deviation s remain exactly the same as those you just calculated but are based on a sample of n = 25 observations rather than n = 6 observations. Repeat parts a–c. What is the effect of increasing the sample size on the width of the confidence intervals?
e. Use Rejection region to test the null hypothesis that the mean of the population is 6 against the alternative hypothesis, ?<6. Use ? = .05.
f. Use p-Value to test the null hypothesis that the mean of the population is 6 against the alternative hypothesis, ? ≠6. Use ? = .05.
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