What is the z-score of X, if n = 4, $\mu =60$, SD =3, and X =60?

Haven Kerr
2022-09-14
Answered

What is the z-score of X, if n = 4, $\mu =60$, SD =3, and X =60?

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asked 2022-06-12

A distribution has a standard deviation of o=10. Find the z-score for each of the following locations in the distribution.

a) Above the mean by 5 points b) Above the mean by 2 points c) Below the mean by 20 points d) Below the mean by 15 points

Please don't give me the answer, but explain how I would work this out.

a) Above the mean by 5 points b) Above the mean by 2 points c) Below the mean by 20 points d) Below the mean by 15 points

Please don't give me the answer, but explain how I would work this out.

asked 2022-09-30

You toss a coin 163 times and get 50 heads. Test the hypothesis that it is a fair coin, using a two-tailed test and 5% level of significance.

The answer wants each of the following: test statistic, critical value, and accept or reject the hypothesis.

It is quite obvious to me that we will reject the null hypothesis since the 2 z-scores associated with getting less than 50 tails (50.5 using continuity correction) are -4.86 and 4.86, while at a 5% confidence interval, the two z-scores are -1.96 and 1.96, but I am not sure what he wants for the test statistic or critical value, or what those are exactly.

The answer wants each of the following: test statistic, critical value, and accept or reject the hypothesis.

It is quite obvious to me that we will reject the null hypothesis since the 2 z-scores associated with getting less than 50 tails (50.5 using continuity correction) are -4.86 and 4.86, while at a 5% confidence interval, the two z-scores are -1.96 and 1.96, but I am not sure what he wants for the test statistic or critical value, or what those are exactly.

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asked 2022-08-15

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asked 2022-08-17

I have two cases:

1. If I add a constant to them, does the mean, standard deviation and z score change?

What I think: Mean changes, std deviation doesn't change and z score doesn't change.

2. If I blackuce all the numbers by 5% does the mean, standard deviation and z score change?

What I think: Mean changes by 5%, standard deviation changes but the percentage difference remains the same, and the z score changes by 2.5%

Am I thinking correctly?

1. If I add a constant to them, does the mean, standard deviation and z score change?

What I think: Mean changes, std deviation doesn't change and z score doesn't change.

2. If I blackuce all the numbers by 5% does the mean, standard deviation and z score change?

What I think: Mean changes by 5%, standard deviation changes but the percentage difference remains the same, and the z score changes by 2.5%

Am I thinking correctly?