A weight loss program claims that program participants have a mean weight loss of at least 12 pounds after 1 month. You work for a medical association and are asked to test this claim. A random sample of 30 program participants and their weight losses (in pounds) after 1 month is listed in the table below. Assume the population standard deviation is 4. At x = 0.03, do you have enough evidence to reject the program's claim? Complete parts (a) through (e). 5.1 8.7 11.1 5.2 6.5 6.9 7.2 7.3 9.2 9.4 9.5 9.7 9.7 11.2 11.6 11.6 11.9 12.4 Ο Α. Ηγ: με 12 Ha: <12 (a) Identify Ho and H₂. Choose the correct answer below. a C. Ho: μ≤ 12 Ha: μ> 12 7.4 8.2 8.4 8.5 10.1 10.3 10.6 10.6 12.5 12.6 13.3 15.2 O E. Ho: μ< 12 H₂:μ ≥ 12 ... B. Ho: μ> 12 Ha:μ≤ 12 D. Ho: μ#12 Ha: μ = 12 OF. Ho: H=12 Ha: μ#12

The scores on a test are normally distributed with a mean of 100 and a standard deviation of 20. What is the score that is 3 standard deviations above the​ mean?   A score of___is 3 standard deviations above the mean.

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IQ scores based on the Wechsler Adult Intelligence Scale are assumed to be normally distributed with a mean of 100 and a standard deviation of 15. What is the z-score for an IQ of 90?

A population has a mean of 75 and a standard deviation of 15. You randomly sample 9 from the population. What is the likelihood that the sample mean will fall between 70 and 80?

A person's blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a 12-hour fast, the random variable x will have a distribution that is approximately normal with mean ? = 81 and standard deviation ? = 26. Note: After 50 years of age, both the mean and standard deviation tend to increase. For an adult (under 50) after a 12-hour fast, find the following probabilities. (Round your answers to four decimal places.)   (a) x is more than 60(b) x is less than 110(c) x is between 60 and 110(d) x is greater than 125 (borderline diabetes starts at 125)

Assume the samples are random and independent, the populations are nomally distributed, and the population variances are equal. The table available below shows the prices (in dollars) for a sample of automobile batteries. The prices are classified according to battery type. At a = 0.10, is there enough evidence conclude that at least one mean battery price is different from the others? Complete parts (a) through (e) below. E Click the icon to view the battery cost data. (a) Let u1. P2. H3 represent the mean prices for the group size 35, 65, and 24/24F respectively. Identify the claim and state Ho and H. H Cost of batteries by type The claim is the V hypothesis. Group size 35 Group size 65 Group size 24/24F 101 111 121 124 D 146 173 182 278 124 140 141 89 (b) Find the critical value, Fo, and identify the rejection region. 90 79 84 The rejection region is F Fo, where Fo = (Round to two decimal places as needed.) (c) Find the test statistic F. Print Done F= (Round to two decimal places as…

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The daily yield for a local chemical plant has averaged 880 tons for the last several years. The quality control manager would like to know whether this average has changed in recent months. She randomly selects 50 days from the computer database and computes the average and standard deviation of the       n = 50 yields as  ?̅= 871 tons and s = 21 tons, respectively. Test the appropriate hypothesis using      ? = 0.05.  Calculate ? ??? ?  when ? is actually equal to 870 tons. Also calculate interval estimate.

n=16  mean number of  television per household is 4 with a standard deviation of 1 television. using chebychev's theorem, detemine at least how many households have between 2 and 6 television.