Question

Inference for comparing two means In a study for effect of diet and exercise on weight...

Inference for comparing two means

  1. In a study for effect of diet and exercise on weight loss, we consider two randomly selected groups and the following table showing weight loss on average and its standard deviation. Assume these two group are independent. (30 points)

30 days results

Just Diet (JD)

2.3lb

1.5 lb

28

Diet Plus Exercise (DPE)

3.5lb

1.1lb

30

  1. Write the null hypothesis and alternative hypothesis.
  2. Find the test statistics.
  3. If  Can you reject the null hypothesis?

Homework Answers

Answer #1

(a) The hypothesis being tested is:

H0: µ1 = µ2

H1: µ1 ≠ µ2

(b) The test statistic is -3.491.

(c) The p-value is 0.0009.

Since the p-value (0.0009) is less than the significance level (0.05), we can reject the null hypothesis.

JD DPE
2.3 3.5 mean
1.5 1.1 std. dev.
28 30 n
56 df
-1.2000 difference (JD - DPE)
1.7114 pooled variance
1.3082 pooled std. dev.
0.3438 standard error of difference
0 hypothesized difference
-3.491 t
.0009 p-value (two-tailed)
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The following table lists the weight of individuals before and after taking a diet prescribed by...
The following table lists the weight of individuals before and after taking a diet prescribed by a weight-loss company for a month: Weight-loss Data Individual Weight Before (lb) Weight After (lb) Weight Loss (lb) A 138.0 119.3 18.7 B 129.6 110.2 19.4 C 120.6 104.1 16.5 D 160.3 152.1 8.2 E 149.7 134 15.7 F 150.6 132.1 18.5 You may find this Student's t distribution table useful in answering the following questions. You may assume that the differences in weight...
A significance test for comparing two means gave t = -1.97 with 10 degrees of freedom....
A significance test for comparing two means gave t = -1.97 with 10 degrees of freedom. Can you reject the null hypothesis that the M’s are equal vs the one-sided alternative at the 5% significance level? Step 1: True or false: we can reject in favor of the two-sided alternative at the 5% level Step 2: True or false we can reject the null hypothesis in favor of M1 < M2
The following table lists the weight of individuals before and after taking a diet prescribed by...
The following table lists the weight of individuals before and after taking a diet prescribed by a weight-loss company for a month: Weight-loss Data Individual Weight Before (lb) Weight After (lb) Weight Loss (lb) A 154.1 143.7 10.4 B 123.5 116.7 6.8 C 115.3 95.9 19.4 D 178.1 170.2 7.9 E 143.5 123.9 19.6 F 139.6 129.9 9.7 You may find this Student's t distribution table useful in answering the following questions. You may assume that the differences in weight...
A​ weight-loss diet claims that it causes weight loss by eliminating carbohydrates​ (breads and​ starches) from...
A​ weight-loss diet claims that it causes weight loss by eliminating carbohydrates​ (breads and​ starches) from the diet. To test this​ claim, researchers randomly assign overweight subjects to two groups. Both groups eat the same amount of​ calories, but one group eats almost no​ carbs, and the other group includes carbs in their meals. After 2​ months, the researchers test the claim that the​ no-carb diet is better than the usual diet. They record the proportion of each group that...
Chicken diet and weight. In previous chapter, we compared the effects of two types of feed...
Chicken diet and weight. In previous chapter, we compared the effects of two types of feed at a time. A better analysis would first consider all feed types at once: casein, horsebean, linseed, meat meal, soybean, and sunflower. The ANOVA output below can be used to test for differences between the average weights of chicks on different diets. DF Sum Sq Mean Sq F value Pr(>F) feed 5 231129.16 46225.83 15.36 0.0000 residuals 65 195556.02 3008.55 Conduct a hypothesis test...
Chicken diet and weight. In previous chapter, we compared the effects of two types of feed...
Chicken diet and weight. In previous chapter, we compared the effects of two types of feed at a time. A better analysis would first consider all feed types at once: casein, horsebean, linseed, meat meal, soybean, and sunflower. The ANOVA output below can be used to test for differences between the average weights of chicks on different diets. DF Sum Sq Mean Sq F value Pr(>F) feed 5 231129.16 46225.83 15.36 0.0000 residuals 65 195556.02 3008.55 Conduct a hypothesis test...
home / study / math / statistics and probability / statistics and probability questions and answers...
home / study / math / statistics and probability / statistics and probability questions and answers / with all the fad diets advertised on tv, a researcher wanted to know if there was a significant ... Question: With all the fad diets advertised on TV, a researcher wanted to know if there was a significant d... Edit question With all the fad diets advertised on TV, a researcher wanted to know if there was a significant difference in weight loss...
For the test of significance questions, clearly indicate each of the formal steps in the test...
For the test of significance questions, clearly indicate each of the formal steps in the test of significance. Step 1: State the null and alternative hypothesis. Step 2: Calculate the test statistic. Step 3: Find the p-value. Step 4: State your conclusion. (Do not just say “Reject H0” or “Do not reject H0”, state the conclusion in the context of the problem.) A market research group is interested in comparing the mean weight loss for two different popular diets. The...
The following data were obtained from an independent-measures research study comparing three treatment conditions. I II...
The following data were obtained from an independent-measures research study comparing three treatment conditions. I II III n = 6 n = 4 n = 4                    M = 2 M = 2.5 M = 5 N = 14 T = 12 T = 10 T = 20 G = 42 SS = 14 SS = 9 SS = 10 ΣX2tot = 182 Use an ANOVA with α = .05 to determine whether there are any significant mean differences among the...
The following data were obtained from an independent-measures research study comparing three treatment conditions. I II...
The following data were obtained from an independent-measures research study comparing three treatment conditions. I II III n = 6 n = 4 n = 4                    M = 2 M = 2.5 M = 5 N = 14 T = 12 T = 10 T = 20 G = 42 SS = 14 SS = 9 SS = 10 ΣX2tot = 182 Use an ANOVA with α = .05 to determine whether there are any significant mean differences among the...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT