8. To test Ho: μ = 4.5 versus H₁: μ> 4.5, a simple random sample of size n = 13 is obtained from a population that is known to be normally distributed. (a) If x = 4.9 and s = 1.3, compute the test statistic. (b) Draw a t-distribution with the area that represents the P-value shaded. (c) Approximate and interpret the P-value. (d) If the researcher decides to test this hypothesis at the α= 0.1 level of significance, will the researcher reject the null hypothesis? Why?

MATLAB: An Introduction with Applications
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8. To test Ho: μ = 4.5 versus H₁: μ> 4.5, a simple random
sample of size n = 13 is obtained from a population that is
known to be normally distributed.
(a) If x = 4.9 and s = 1.3, compute the test statistic.
(b) Draw a t-distribution with the area that represents the
P-value shaded.
(c) Approximate and interpret the P-value.
(d) If the researcher decides to test this hypothesis at the
a = 0.1 level of significance, will the researcher reject the
null hypothesis? Why?
Transcribed Image Text:8. To test Ho: μ = 4.5 versus H₁: μ> 4.5, a simple random sample of size n = 13 is obtained from a population that is known to be normally distributed. (a) If x = 4.9 and s = 1.3, compute the test statistic. (b) Draw a t-distribution with the area that represents the P-value shaded. (c) Approximate and interpret the P-value. (d) If the researcher decides to test this hypothesis at the a = 0.1 level of significance, will the researcher reject the null hypothesis? Why?
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