The average daily volume of a computer stock in 2011 was μ = 35.1 million shares, according to a reliable source. A stock analyst believes that the stock volume in 2018 is different from the level. Based on a random sample of 30 trading days in 2018, he finds the sample mean to be 26.8 million shares, with a standard deviation of s = 11.3 million shares. Test the hypotheses by constructing a 95% confidence interval. Complete parts (a) through (c) below.

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The average daily volume of a computer stock in 2011 was μ = 35.1 million shares, according to a reliable source. A stock analyst believes that the stock volume in 2018 is different from the 2011
level. Based on a random sample of 30 trading days in 2018, he finds the sample mean to be 26.8 million shares, with a standard deviation of s = 11.3 million shares. Test the hypotheses by
constructing a 95% confidence interval. Complete parts (a) through (c) below.
(a) State the hypotheses for the test.
Ho:
H₁:
(b) Construct a 95% confidence interval about the sample mean of stocks traded in 2018.
With 95% confidence, the mean stock volume in 2018 is between million shares and
(Round to three decimal places as needed.)
(c) Will the researcher reject the null hypothesis?
35.1 million shares
35.1 million shares
million shares.
A. Reject the null hypothesis because µ = 35.1 million shares falls in the confidence interval.
B. Do not reject the null hypothesis because µ = 35.1 million shares does not fall in the confidence interval.
C. Do not reject the null hypothesis because µ = 35.1 million shares falls in the confidence interval.
D. Reject the null hypothesis because μ = 35.1 million shares does not fall in the confidence interval.
Transcribed Image Text:The average daily volume of a computer stock in 2011 was μ = 35.1 million shares, according to a reliable source. A stock analyst believes that the stock volume in 2018 is different from the 2011 level. Based on a random sample of 30 trading days in 2018, he finds the sample mean to be 26.8 million shares, with a standard deviation of s = 11.3 million shares. Test the hypotheses by constructing a 95% confidence interval. Complete parts (a) through (c) below. (a) State the hypotheses for the test. Ho: H₁: (b) Construct a 95% confidence interval about the sample mean of stocks traded in 2018. With 95% confidence, the mean stock volume in 2018 is between million shares and (Round to three decimal places as needed.) (c) Will the researcher reject the null hypothesis? 35.1 million shares 35.1 million shares million shares. A. Reject the null hypothesis because µ = 35.1 million shares falls in the confidence interval. B. Do not reject the null hypothesis because µ = 35.1 million shares does not fall in the confidence interval. C. Do not reject the null hypothesis because µ = 35.1 million shares falls in the confidence interval. D. Reject the null hypothesis because μ = 35.1 million shares does not fall in the confidence interval.
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