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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step-by-step explanation:

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