Question

A record of Starbucks coffee shop at school shows that the mean number of cups of coffee consumed by a science-major student is 6 per week. A student in Sats feels it is greated. She found that the average number of coffee cups had was 9 with a standard deviation of 2 cups for randomly selected 10 science-major students in a week. Assuming that the weekly consumption of coffee by science-major students is normally distributed, test her claim at 5% significance level. (z0.025 = 1.96, t0.025,9 = −2.31, χ20.025,9 = 19.02, t0.95,9 = 1.83)

(a) Write the null and alternative hypotheses for the claim, and identify the type of the test.

(b) Compute the test statistic, assuming the null hypothesis.

(c) Find the critical value and shade the rejection region.

(d) Is her claim true at 5% significance level? Why?

(e) Compute p-value.

(f) Is the p-value < α?

Yes

No sufficient evidence

Yes No

Answer 1

thank you

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