# A researcher wishes to determi

A researcher wishes to determine whether the blood pressure of vegetarians is, on average, lower than the blood pressure of nonvegetarians. Independent simple random samples of 85 vegetarians and 75 nonvegetarians were obtained and the size, mean and standard deviation of each group was recorded. Test the claim that the main systolic blood pressure for vegetarians is lower than the mean systolic blood pressure for nonvegetarians. Also assumed that the population standard deviations are equal(σσ1=σσ2), so that the standard error of the difference between means is obtained by pooling the sample variances.

How many populations?

• 2
• 1

What is the parameter?

• Variance
• Difference between Means
• Proportion
• Mean
• Standard Deviation

What is the test statistic?

# a researcher wishes to determi

A: a researcher wishes to determine whether listening to classical music improves students’ performance on a memory test. forty-six students are randomly selected to perform a memory test once while listening to classical music and once without listening to music. test as the 95% confidence level. Identify the null and Alternative hypothesis, critical value, test statistic. P-value, the decision regarding the hypothesis, and the final conclusion. Draw the distribution.

B: Provide the confidence interval and interpret. You are provided with summary information: the mean difference in the sample scores was 3.7 with a standard deviation of the sample difference of 4.4.

# A researcher wishes to determi

A researcher wishes to determine whether the salaries of professional nurses’
employees by private hospitals are higher than those of nurse’s employees by government-owned hospitals. She selects a sample of nurses from each type of hospital and calculates the mean and standard deviation of their salaries. At o.o1 level of significance, can she conclude that the average pay at private hospitals is more than the average pay at government hospitals? Assume that the populations are approximately normally distributed and having unknown and unequal population variances.

 Private Government Mean= \$26,800 Mean= \$25,400 S1= \$600 S2= \$450 n1=10 n2=8

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