# Since the sample mean falls outside the range of

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Since the sample mean falls outside the range of likely sample means (whichhas an upper bound=\$2,843.44), the store owner can reject the null hypothesisthat μ≤\$2,700μ≤\$2,700 at a 95% confidence level. Therefore, she cannotconclude that average daily sales have decreased.Average daily sales have remained the sameSince the sample mean falls outside the range of likely sample means (whichhas an upper bound=\$2,843.44), the store owner can reject the null hypothesisthat μ≤\$2,700μ≤\$2,700 at a 95% confidence level. Therefore, she cannotconclude that average daily sales have remained the same.Average daily sales have not increasedSince the sample mean falls outside the range of likely sample means (whichhas an upper bound=\$2,843.44), the store owner can reject the null hypothesisthat μ≤\$2,700μ≤\$2,700 at a 95% confidence level. If the sample mean hadfallen in the range of likely sample means, the owner would have failed to rejectthe null hypothesis and hence would have insufficient evidence to conclude thataverage daily sales had increased. Either way, she cannot conclude that averagedaily sales have not increased, as that would be equivalent to accepting the nullhypothesis.The answer cannot be determined without further informationSince you know the upper bound of the 95% range of likely sample means forthis one-sided test, and you know the sample mean, there is enough informationto answer this question.6)A business school professor is interested to know if watching a videoabout the Central Limit Theorem helps students understand it. To assessthis, the professor tests students’ knowledge both immediately before theywatch the video and immediately after. The professor takes a sample ofstudents, and for each one compares their test score after the video totheir score before the video. Using the data below, calculate the p-valuefor the following hypothesis test:H0:μafter≤μbeforeH0:μafter≤μbeforeHa:μafter>μbefore
students on the same knowledge at two points in time. You must link directly tovalues in order to obtain the correct answer.

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