What’s the null and alternative hypotheses would be? What would be test statistic t = ?(3 decimal places) and what would be p-value = ? (4 decimal places) answer only; Women are recommended to consume 1800 calories per day. You suspect that the average calorie intake is different for women at your college. The data for the 11 women who participated in the study is shown below: 1850, 1695, 1973, 1847, 1930, 1921, 2105, 1619, 2047, 1973, 2041 Assuming that the distribution is normal, what can be concluded at the alpha = 0.1 level of significance?

Null hypothesis (H₀): μ = 1800  
Alternative hypothesis (H₁): μ ≠ 1800  

Test statistic (t) = 3.149  
p-value = 0.0108  

Since the p-value (0.0108) is less than the significance level (α = 0.1), we reject the null hypothesis. This suggests that the average calorie intake for women at your college is significantly different from 1800 calories per day.

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Here are 5 related questions:
1. How is the test statistic for a t-test calculated?
2. What assumptions are required for conducting a t-test?
3. What does rejecting the null hypothesis imply in this context?
4. How is the p-value interpreted in hypothesis testing?
5. What happens if the significance level (alpha) is changed?

Tip: The p-value tells you the probability of observing the test results under the null hypothesis.

Women are recommended to consume 1800 calories per day. You suspect that the average calorie intake is different for women at your college. The data for the 11 women who participated in the study is shown below: 1850, 1695, 1973, 1847, 1930, 1921, 2105, 1619, 2047, 1973, 2041 Assuming that the distribution is normal, what can be concluded at the alpha = 0.1 level of significance?

Analyze whether the average calorie intake for women at a college differs from the recommended 1800 calories using hypothesis testing. This problem involves calculating the test statistic and p-value, using a significance level of 0.1, and interpreting results based on the t-distribution.

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