Weight Watchers Company has a new diet plan and according to the advertisement the company claims that a steady diet on their new plan for 8 weeks will cause individuals weighing over 150lbs to lose at least 15 lbs. in over an 8 week period. A random sample of 36 individuals meeting the inclusion criteria had an average weight loss over 8 weeks of 12.5 pounds, and standard deviation of 12 lbs.
a. State the null and alternative hypothesis.
b. State what additional conditions you must have before you can start analyzing the data.
c. Identify the critical value suitable for testing the hypothesis you stated in part a.
d. Using p-value test the null hypothesis against the alternative hypothesis you stated in above part a.
e. State your conclusion and why.
Weight Watchers Company has a new diet plan and according to the advertisement the company claims...
When 40 people use the Weight Watchers diet for one year, their mean weight loss was 3.0 pounds. Historically the standard deviation is σ = 4.9 pounds (based on data from “Comparison of the Atkins, Ornish, Weight Watchers, and Zone Diets for Weight Loss and Heart Disease Reduction,” by Dansinger, et al., Journal of the American Medical Association, Vol. 293, No. 1). Use a 0.01 significance level to test the claim that the mean weight loss is greater than 0....
1. Weight Watchers claims that people following their program can expect to lose more than 10 lbs in 2 months with a standard deviation of 1.3 lbs. Researchers selected a group of 50 people participating in the program and monitored their weight loss over 2 months. The mean weight loss over the 2 months was 10.4 lbs. We want to know if this result supports Weight Watchers’ claim. a. Draw a normal curve for the sampling distribution of samples of...
A cereal company claims that the mean weight of the cereal in its packets is more than 14 oz. The weights (in oz) of the cereal in a random sample of 8 cereal packets are listed below. You may assume the sample data comes from a population that follows a normal distribution. Using a 0.05 significance level, test the companies claim. State the null hypothesis H0. State the alternative hypothesis H1. What is the test statistic? State the alpha level....
The mayor of a town has proposed a plan for the construction of a new bridge. A political study took a sample of 800 voters in the town and found that 57% of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is over 54%. Testing at the 0.10 level, is there enough evidence to support the strategist's claim? Step 1 of 6: State the null...
4. Nutrition scientists can calculate the amount of weight gain that would be associated with a given increase in calories. In one study, 16 non-obese adults, aged 25 to 36 years, were fed 1000 calories per day in excess of the calories needed to maintain a stable body weight. The subjects maintained this diet for 8 weeks, thus consuming a total of 56,000 calories extra. According to theory, 3500 extra calories will translate to weight gain of 1 pound. Therefore,...
Exercise 10-31 Algo A diet center claims that it has the most effective weight loss program in the region. Its advertise program lose more than 1 pounds within a month." Six clients of this program are weighed on the month later. Let the difference be defined as Weight on First Day of Diet minus Weight One Mont reference the appropriete table: z table or t table) Weight on First Day of Weight One client Diet Month Later 1 156 165...
The mayor of a town has proposed a plan for the annexation of a new bridge. A political study took a sample of 900 voters in the town and found that 49 % of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is over 45 %. Testing at the 0.05 level. Is there enough evidence to support the strategist's claim? Step 1 of 7: State...
a-For over 25 years Fishy company has been selling canned sardines, mainly with a net weight of 425 grams. To your surprise, management has not tested the actual weight of the can in the last three years, and you wonder if the net weight of 425 grams is still appropriate. What would be the null and alternative hypothesis to test this? b- Say that Ho : µ ? 25.5 Ha : µ < 25.5 If n = 50, ? =...
A food manufacturer claims that eating its new cereal as part of a daily diet lowers total blood cholesterol levels. The table shows the total blood cholesterol levels (in milligrams per deciliter of blood) of seven patients before eating the cereal and after one year of eating the cereal as part of their diets. Use technology to test the mean difference. Assume the samples are random and dependent, and the population is normally distributed. At a = 0.05, can you...
A food manufacturer claims that eating its new cereal as part of a daily diet lowers total blood cholesterol levels. The table shows the total blood cholesterol levels (in milligrams per deciliter of blood) of seven patients before eating the cereal and after one year of eating the cereal as part of their diets. Use technology to test the mean difference. Assume the samples are random and dependent, and the population is normally distributed. At a 0.05, can you conclude...