Does the sample data support the conclusion that the mean iq of soccer players who frequently head the ball is lower than that of those who do not frequently head the ball? test the relevant hypotheses using α = 0.05. (use a statistical computer package to calculate the p-value. use μfewer than 10 headers − μ10 headers. round your test statistic to two decimal places, your df down to the nearest whole number, and your p-value to three decimal places.)

Recall that the owner of a local health food store recently started a new ad campaign to attract more business and wants to know if average daily sales have increased. historically average daily sales were approximately $2,700. the upper bound of the 95% range of likely sample means for this one-sided test is approximately $2,843.44. if the owner took a random sample of forty-five days and found that daily average sales were now $2,984, what can she conclude at the 95% confidence level?