To test H0​: μ=50 versus H1​: μ<50​, a random sample of size n=23 is obtained from a population that is known to be normally distributed.     If x=46.6 and s=11.8​, compute the test statistic

Q: Consider a normally distribr deviation of 10. Find P(90<

A: mean =85 standard deviation =10 to find P(90&lt;X&lt;100)

Q: In a previous year, 56% of females aged 15 years of age and older lived alone. A sociologist tests…

A: From the provided information, Sample size (n) = 700 From which 406 are living alone. Level of…

Q: A cellphone provider has the business objective of wanting to estimate the proportion of subscribers…

A: Given,sample size(n)=500no.of subscribers would upgrade to a new cellphone at a reduced cost…

Q: A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least…

A: The random variable life of a certain type of light bulb follows normal distribution. We have to…

Q: Let x be a random variable representing the height of mature oak trees in a forest.  A friend claims…

A: given data, claim:μ=100n=16x¯=106.3s=11.8df=n-1=16-1=15p-value =?

Q: of size 25 taken from a normally distributed population whose standard deviation is 15. What is…

A: As the population standard deviation is known, we will use z distribution. The critical z-value for…

Q: The U.S. Geological Survey compiled historical data about Old Faithful Geyser (Yellowstone National…

A: From the provided information,

Q: Suppose a random sample of size n will be selected from a large population with mean and standard…

A: The sample size is denoted by .The population mean is .The population standard deviation is .The…

Q: If a random sample of size n = 36 is selected from a population with a standard deviation of σ = 6,…

A: Givensample size(n)=36population standard deviation(σ)=6

Q: A simple random sample of size n=15 is drawn from a population that is normally distributed. The…

A:

Q: A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola…

A: Given information,  Claim : A company that makes cols drinks states that the mean caffeine content…

Q: The level, in grams per millilitre, of a pollutant at different locations in a certain river is…

A: Given : x(level of pollutant  in grams per millilitre)   follows N(u,0.0000409) u(Population…

Q: Researchers conducted a study to determine whether magnets are effective in treating back pain. The…

A: Treatment Sham n1=13 n2=13 x¯1=0.49 x¯2=0.43 s1=0.97 s2=1.09

Q: For a normally distributed random variable, the population mean is 8 and population standard…

A:

Q: What is the kurtosis for a distribution with a mean of 12.00 and a mode of 12.00?

A: The shape of a distribution is determined by 2 measures, skewness and kurtosis. Skewness for non…

Q: Design a simulation with 1000 replicates that illustrates the CLT for Normal Random Variables when n…

A: Question: Design a simulation with 1000 replicates that illustrates the CLT for Normal Random…

Q: A population has a mean μ=83 and a standard deviation σ=8. Find the mean of a sampling distribution…

A: Given data,  μ=83  σ=8  n=64

Q: 3. E = total amount of time spent in studying every day S = { }

A: To find the possible values of a random variable. E = total amount of time spent in studying every…

Q: A sample of n = 4 scores is selected from a normal population with a mean of u = 50 and a standard…

A:

Q: Number of weekly grocery deliveries requested at Wal-Mart is a normal random variable with mean m =…

A: Given: Mean μ=2800 Standard deviation σ=860 Consider X~N2800,8602

Q: (a) Identify the rejection region. At ? = 0.05, an lower-tailed test would reject H0 if z ≤…

A:

Q: is there enough evidence to support the​ administrator's claim

A: Given that  Sample size(n)= 76 Sample mean (x¯) = 283 Population standard deviation(σ) = 31 Level of…

Q: A company that makes cola drinks states that the mean caffeine content per​ 12-ounce bottle of cola…

A: From the provided information, Sample size (n) = 30 Sample mean (x̅) = 35.5 Population standard…

Q: The number of ants per acre in a forest is normally distributed with mean 42,000 and stands…

A: We have given that,  The  forest is normally distributed with mean(mu) = 42000 and standard…

Q: Samples of size n = 9 are selected from a normal population with µ = 80 with σ = 18. What is the…

A: Given:  n = 9  µ= 80 σ = 18

Q: The mean weights from a sample of 100 bumblebee bats taken from a certain population  is 5, sample…

A: Given,   Sample size = 100 Sample mean = 5 Sample standard deviation = 1

Q: The mean and standard deviation of the tax value of all cars registered in the Osaka, Japan are…

A:

Q: Samples of sizen = 9 are selected from a normal population withp = 80 with o = 18. What is the…

A: From the provided information, Mean (µ) = 80 Standard deviation (σ) = 16

Q: A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least…

A: From the provided information, Sample size (n) = 25 Sample mean (x̅) = 745 hours Population standard…

Q: 2. Let x be a random variable that represents the concentration of iron in water. The EPA specifies…

A:

Q: If a random sample of size n = 100 is selected from a population with mean μ = 200 and standard…

A: The standard deviation of the sample mean is given by the formula: σx̄ = σ/√n Plugging in the given…

Q: A company that makes cola drinks states that the mean caffeine content per​ 12-ounce bottle of cola…

A:

Q: What is the probability of randomly selecting a score with a value greater than X = 63 from a…

A: Given,Mean (μ) =60Standard deviation (σ)=12And X=63

Q: Find the 6767 -th percentile for the standard normal random variable ZZ . The 6767 -th percentile…

A: given data  standard normal distribution Z~N(0,1) we have to find 67th percentile.

Q: Daily Driving The average number of miles a person drives per day is 24 . A researcher wishes to…

A:

Q: (a) Identify H0 and Ha. ​(b) Find the critical​ value(s). Select the correct choice below and fill…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: A company that makes cola drinks states that the mean caffeine content per​ 12-ounce bottle of cola…

A:

Q: The population mean ACT composite score in 2015 was 20.8 points, with population standard deviation…

A:

Q: A company that makes cola drinks states that the mean caffeine content per​ 12-ounce bottle of cola…

A: