alculate a 95% lower confidence bound for μ using the following statistics: x=124.1 and n= 35 Assume that sigma=σ= 137.1. Use one-decimal place accuracy.
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Calculate a 95% lower confidence bound for μ using the following statistics:
x=124.1 and n= 35
Assume that sigma=σ= 137.1. Use one-decimal place accuracy.
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- A nutritionist claims that the mean tuna consumption by a person is 3.4 pounds per year. A sample of 90 people shows that the mean tuna consumption by a person is 3.3 pounds per year. Assume the population standard deviation is 1.02 pounds. At α=0.03, can you reject the claim? (a) Identify the null hypothesis and alternative hypothesis. A. H0: μ=3.4 Ha: μ≠3.4 Your answer is correct. B. H0: μ>3.4 Ha: μ≤3.4 C. H0: μ≤3.3 Ha: μ>3.3 D. H0: μ≤3.4 Ha: μ>3.4 E. H0: μ>3.3 Ha: μ≤3.3 F. H0: μ≠3.3 Ha: μ=3.3 (b) Identify the standardized test statistic. z=negative 1.34−1.34 (Round to two decimal places as needed.)A hospital spokesperson claims that the standard deviation of the waiting times experienced by patients in its minor emergency department is no more than 0.7 minutes. A random sample of 24 waiting times has a standard deviation of 0.9 minutes. At alphaαequals=0.10, is there enough evidence to reject the spokesperson's claim? Assume the population is normally distributed. Complete parts (a) through (e) below. LOADING... Click the icon to view the Chi-Square Distribution Table. (a) Write the claim mathematically and identify Upper H 0H0 and Upper H Subscript aHa. A. Upper H 0 : sigma less than or equals 0.7H0:σ≤0.7 (Claim); Upper H Subscript a Baseline : sigma greater than 0.7Ha:σ>0.7 B. Upper H 0 : sigma equals 0.7H0:σ=0.7; Upper H Subscript a Baseline : sigma not equals 0.7Ha:σ≠0.7 (Claim) C. Upper H 0 : sigma less than 0.7H0:σ<0.7 (Claim); Upper H Subscript a Baseline greater than or equals 0.7Ha≥0.7 D. Upper H 0 : sigma…To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 43 feet. Assume the population standard deviation is 4.6 feet. The mean braking distance for Make B is 46 feet. Assume the population standard deviation is 4.5 feet. At α=0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. The critical value(s) is/are Find the standardized test statistic z for μ1−μ2.
- Assume the random variable X is normally distributed with mean μ=50 and standard deviation σ=7. Find the 77th percentile. The 77thpercentile is:Assume that a procedure yields a binomial distribution with n=1222n=1222 trials and the probability of success for one trial is p=38%p=38%.Find the mean for this binomial distribution.(Round answer to one decimal place.)μ=μ= Find the standard deviation for this distribution.(Round answer to two decimal places.)σ=σ= Use the range rule of thumb to find the minimum usual value μ–2σ and the maximum usual value μ+2σ.Enter answer as an interval using square-brackets only with whole numbers.usual values =Assume that the heights of adult puffins are normally distributed, with a mean of μ=μ= 15.9 inches and a standard deviation of σ=σ= 2.7 inches. For a random sample of 28 puffins, answer the following: What is the mean of the distribution of x¯ ?
- Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Let Z represent the reading of this thermometer at freezing. What reading separates the highest 5.66% from the rest? That is, if P(z > c) = 0.0566, find c. с — °CA nutritionist claims that the mean tuna consumption by a person is 3.8 pounds per year. A sample of 70 people shows that the mean tuna consumption by a person is 3.5 pounds per year. Assume the population standard deviation is 1.04 pounds. At α=0.09, can you reject the claim? (a) Identify the null hypothesis and alternative hypothesis. A. H0: μ=3.8 Ha: μ≠3.8 B. H0: μ≠3.5 Ha: μ=3.5 C. H0: μ>3.5 Ha: μ≤3.5 D. H0: μ>3.8 Ha: μ≤3.8 E. H0: μ≤3.5 Ha: μ>3.5 F. H0: μ≤3.8 Ha:μ>3.8 b) Identify the standardized test statistic. z= (Round to two decimal places as needed.) (c) Find the P-value. (d) Decide whether to reject or fail to reject the null hypothesis. A. Reject H0. There is not sufficient evidence to reject the claim that mean tuna consumption is equal to 3.8pounds. B. Reject H0. There is sufficient evidence to reject the claim that mean tuna consumption is equal to…Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Let Z represent the reading of this thermometer at freezing. What reading separates the highest 46.73% from the rest? That is, if P(z > c) = 0.4673, find c. c = °C
- Researchers at the National Weather Center in Portland, Maine recorded the number of 90° days each year since records were first kept, starting in 1875. The number of 90° days form a normal-shaped distribution, with a mean of μ = 9.6 days and a standard deviation of σ = 1.9. To see if the data showed any evidence of climate change (and specifically global warming), they also computed the mean number of 90° days for the most recent n = 4 years and obtained a mean number of days for the past four years of x̅ = 12.25 days. Using a one-tailed test with α = .05, the researchers completed the calculations, but they need your help in drawing an appropriate conclusion. (According to their calculations, the standard error is sM = 0.95, and the sample mean of x̅ = 12.25 days corresponds to a z-score of z = 2.79.) Using the same one-tailed test (α = .05), determine if the data indicate that the past four years have had significantly more 90° days than would be expected for a random sample from…You are a researcher studying the lifespan of a certain species of bacteria. A preliminary sample of 25 bacteria reveals a sample mean of ¯x=78x¯=78 hours with a standard deviation of s=4.2s=4.2 hours. You would like to estimate the mean lifespan for this species of bacteria to within a margin of error of 0.75 hours at a 95% level of confidence. (Hint: Use your s as a reasonable estimate for σσ .) What sample size should you gather to achieve a 0.75 hour margin of error? Round your answer up to the nearest whole number.Assume that the body mass index (BMI) of all American young women follows a Normal distribution with standard deviation σ = 7.5. How large a sample would be needed to estimate the mean BMI μ in this population to within ±1 with 95% confidence? (Enter your answer as a whole number.)
