A random sample of 10 scores on a recent chemistry exam is given below: 83818587797384867884 You may take as known that the population is normal with a standard deviation of 13. Carry out a hypothesis test (filling in the requested information) to determine if there is enough evidence at a 0.005 level of significance to infer that the mean score for this population exceeds 73.

Yes, we have enough evidence at a 0.005 level of significance to infer that the mean score for this population exceeds 73.

Step-by-step explanation:

We are given that a random sample of 10 scores on a recent chemistry exam is given below:

83, 81, 85, 87, 79, 73, 84, 86, 78, 84

You may take as known that the population is normal with a standard deviation of 13.

We have to conduct a hypothesis test to infer that the mean score for this population exceeds 73.

Let = mean score for this population

SO, Null Hypothesis, : 73   {means that the mean score for this population is less than or equal to 73}

Alternate Hypothesis, : > 73   {means that the mean score for this population exceeds 73}

The test statistics that will be used here is One-sample z test statistics as we know about the population standard deviation;

              T.S. =   ~  N(0,1)

where, = sample mean score = = = 82

             = population standard deviation = 13

            n = sample size = 10

So, test statistics =    

                              = 2.189

So, at 0.005 level of significance, the z table gives critical value of 3.8906 for one-tailed test. Since our test statistics is less than the critical value of z so we have insufficient evidence to reject null hypothesis as it will not fall in the rejection region.

Therefore, we conclude that the mean score for this population exceeds 73.

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sas (side angle side)

aa(angle angle)

sss(side side side)

sas you have to find two sides with an angle in between

aa you find two angles because it will always add up to 180

sss find all sides

step-by-step explanation: