The heights of young men are approximately normally distributed, with a mean of 69.8 inches. A random sample of heights from young men at a large university in the Midwest are listed below (in...


The heights of young men are approximately normally distributed, with a mean of 69.8 inches. A random sample of heights from young men at a large university in the Midwest are listed<br>below (in inches).<br>74 | 65<br>72<br>75<br>67<br>77<br>70<br>69<br>73<br>70<br>69<br>n USE SALT<br>These data were used to calculate the sample mean and standard deviation.<br>n = 11<br>x = 71<br>s = 3.5777<br>Is there sufficient evidence to say that the mean height for young men at the university is larger than average?<br>(a) State the appropriate null and alternative hypotheses.<br>u ?v69.8<br>Ho:<br>u ?v69.8<br>(b) Calculate the test statistic. (Round your answer to two decimal places.)<br>(c) Based on a = 0.05, what is the correct conclusion for the hypothesis test? (Use a table or SALT.)<br>O we would fail to reject the null hypothesis. This means on the basis of the evidence, you cannot conclude that the mean height of young men at the university is larger than<br>69.8 inches.<br>O we would reject the null hypothesis. This means on the basis of the evidence, you cannot conclude the mean height of young men at the university is larger than<br>69.8 inches.<br>O we would fail to reject the null hypothesis. This means on the basis of the evidence, you can conclude that the mean height of young men at the university is larger than<br>69.8 inches.<br>O we would reject the null hypothesis. This means on the basis of the evidence, you can conclude the mean height of young men at the university is larger than 69.8 inches.<br>

Extracted text: The heights of young men are approximately normally distributed, with a mean of 69.8 inches. A random sample of heights from young men at a large university in the Midwest are listed below (in inches). 74 | 65 72 75 67 77 70 69 73 70 69 n USE SALT These data were used to calculate the sample mean and standard deviation. n = 11 x = 71 s = 3.5777 Is there sufficient evidence to say that the mean height for young men at the university is larger than average? (a) State the appropriate null and alternative hypotheses. u ?v69.8 Ho: u ?v69.8 (b) Calculate the test statistic. (Round your answer to two decimal places.) (c) Based on a = 0.05, what is the correct conclusion for the hypothesis test? (Use a table or SALT.) O we would fail to reject the null hypothesis. This means on the basis of the evidence, you cannot conclude that the mean height of young men at the university is larger than 69.8 inches. O we would reject the null hypothesis. This means on the basis of the evidence, you cannot conclude the mean height of young men at the university is larger than 69.8 inches. O we would fail to reject the null hypothesis. This means on the basis of the evidence, you can conclude that the mean height of young men at the university is larger than 69.8 inches. O we would reject the null hypothesis. This means on the basis of the evidence, you can conclude the mean height of young men at the university is larger than 69.8 inches.

Jun 02, 2022
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