1) Assume that the significance level is a = 0.05. Use the given information to find the P-value, and the critical value(s). With H: p ≠ , the test statistic is z = -1.75.

P-value = _______(round to four decimal places)

The critical value(s) are ____________(round to three decimal places as needed. Separate answers with commas as needed).

2) In a study of pregnant women and their ability to correctly predict the sex of their baby, 58 of the pregnant women had 12 years of education or less, and 34.5% correctly predicted the sex of their baby. Use a 0.01 significance level to test the claim that these women have no ability to predict the sex of their baby, and the results are not significantly different from those that would be expected with random guesses. Identify the null hypothesis, alternative hypothesis, test statistic, p-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method. Use the normal distribution as an approximation of the binomial distribution.

A) Identify the null and alternative hypothesis

B) The test statistic is z=______(round to two decimal places)

C) The P-value is________(round to four decimal places)

D) Identify the conclusion

Fail to reject/reject?  Ho is/is not?

3) Assume that the simple random sample has been selected from a normally distributed population, and test the given claim. Identify the null and alternative hypothesis, test statistic, P-value, critical value(s),  and state the final conclusion that addresses the original claim.

A simple random sample of 25 filtered 100 mm cigarettes is obtained, and the tar content of each cigarette is measured. The sample has a mean of 19.2 mg and a standard deviation of 3.49 mg. Use a 0.05 significance level to test the claim that the mean tar content of 100 mm cigarettes is less than 21.1 mg which is the mean for unfiltered king size cigarettes. What do the results suggest, if anything, about the effectiveness of the filters?

A) What are the hypothesis?

B) t= _______ (round to three decimal places as needed)

C) The P-value is ______(round to four decimal places as needed)

D) The critical value(s) is/are ________(round to three decimal places as needed. Separate answers with commas as needed)

E) Fail to reject/reject Ho? There is sufficient/insufficient evidence?

F) What do the results suggest?

4) The blood pressure measurements of a single patient were taken by 12 different medical students, and the results are listed below. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using a= 0.05. Is there sufficient evidence to conclude that there is a linear correlation between systolic measurements and diastolic measurements?

 

systolic_(x)

 

diastolic_(y)

 

135

 

93

 

133

 

92

 

140

 

99

 

120

 

81

 

125

 

90

 

122

 

81

 

128

 

84

 

128

 

83

 

135

 

81

 

144

 

97

 

143

 

105

 

139

 

94

 

A) What are the null and alternative hypothesis?

B) The linear correlation coefficient r is ______(round to three decimal places as needed)

C) The test statistic t is ______(round to three decimal places as needed)

D) Because the P-value is less/greater than the significance level 0.05, there is/is not sufficient evidence to support the claim?

5) Suppose IQ scores were obtained from randomly selected siblings. For 20 such pairs of people, the linear correlation coefficient is 0.810 and the equation of the regression line is у(this is one on top the other)= 26.7+0.74x, where x represents the IQ score of the older child. Also the 20 x values have a mean of 100.47 and the 20 y values have a mean of 101.1. What is the best predicted IQ of the younger child, given that the older child has an IQ of 99? Use a significance level of 0.05. SHOW ALL WORK

A) The best predicted IQ of the younger child is _______(round to two places as needed)

6) In a test of the effectiveness for lowering cholesterol, 49 subjects were treated with garlic in a processed tablet form. Cholesterol levels were tested before and after the treatment. The changes in their levels of LDL cholesterol (mg/dL) have a mean of 3.8 and a standard deviation of 17.5 . Complete parts A and B below. SHOW ALL WORK.

A) What is the best point estimate of the population mean net change in LDL cholesterol after the garlic treatment?

The best point estimate is _____mg/dL. (type an integer or a decimal)

B) Construct a 95% confidence interval estimate of the mean net change in LDL cholesterol after the garlic treatment. What does the confidence interval suggest about the effectiveness of garlic in reducing LDL cholesterol?

______mg/dL  < µ < _____mg/dL (round to two decimal places as needed)

C) What does the confidence interval suggest about the  effectiveness of the treatments?

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