Statistics students believe that the mean score on a first statistics test is 65. The instructor thinks that the mean score is higher. She samples 10 statistics students and obtains the scores:Grades9666.585.585.5656961.99673.588Test grades are believed to be normally distributed.Use a significance level of 5%.State the alternative hypothesis: HA:HA:μ<65μ<65μ>65μ>65μ≠65μ≠65State the mean of the sample: State the standard error of the sample means:

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Description: Statistics students believe that the mean score on a first statistics test is 65. The instructor thinks that the mean score is higher. She samples 10 statistics students and obtains the scores:Grades9666.585.585.5656961.99673.588Test grades are belie

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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

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Statistics students believe that the mean score on a first statistics test is 65. The instructor thinks that the mean score is higher. She samples 10 statistics students and obtains the scores:

Grades	96	66.5	85.5	85.5	65	69	61.9	96	73.5	88

Test grades are believed to be normally distributed.

Use a significance level of 5%.

State the alternative hypothesis: HA:HA:
- μ<65μ<65
- μ>65μ>65
- μ≠65μ≠65
State the mean of the sample:
State the standard error of the sample means:

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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