Question

Sodium 38.15 38.78 38.5 38.65 38.79 38.89 38.57 38.59 38.59 38.8 38.63 38.43 38.56 38.46 38.79 38.42 38.74 39.12 38.5 38.42 38.57 38.37 38.71 38.71 38.4 38.56 38.39 38.34 39.04 38.8 A supplier of bottled mineral water claims that his supply of water has an average sodium content of 36.6 mg/L. The boxplot below is of the sodium contents levels taken from a random sample of 30 bottles. With this data investigate the claim using SPSS to apply the appropriate test. Download the data and transfer it into SPSS. Check that your data transfer has been successful by obtaining the Std. Error of the mean for your data which should appear in SPSS output as 0.03900.. If you do not have this exact value, then you may have not transferred your data from the Excel file to SPSS correctly. Do not continue with the test until your value agrees as otherwise you may not have correct answers. Unless otherwise directed you should report all numeric values to the accuracy displayed in the SPSS output that is supplied when your data has been transferred correctly. In the following questions, all statistical tests should be carried out at the 0.05 significance level. Sample mean and median Complete the following concerning the mean and median of the data. mean =  mg/L 95% CI:  to  mg/L Based upon the 95% confidence interval, is it plausible that the average sodium content is 36.9 mg/L?      median:  mg/L The median value is      36.9 mg/L. Skewness Complete the following concerning the skewness of the data. Skewness statistic =        Std. Error =  The absolute value of the skewness statistic     less than 2 x Std. Error Therefore the data can be considered to come from a population that is      . Normality test Complete the following summary concerning the formal testing of the normality of the data. H0: The data come from a population that     normal H1: The data come from a population that     normal Application of the Shapiro-Wilk test indicated that the normality assumption     reasonable for sodium content (S-W(  )=  , p=   ). Main test Using the guidelines you have been taught that consider sample size, skewness and normality, choose and report the appropriate main test from the following ( Appropriate ONE ) You have selected that you wish to report the one-sample t-test. H0: The mean sodium content     equal to 36.9 mg/L H1: The mean sodium content     equal to 36.9 mg/L Application of the one-sample t-test indicated that the mean is      36.9 mg/L (t(  ) =  , p =   ). You have selected that you wish to report the Wilcoxon signed rank test. H0: The median sodium content     equal to 36.9 mg/L H1: The median sodium content     equal to 36.9 mg/L Application of the Wilcoxon signed rank test indicated that the median is      36.9 mg/L (z =  , N =  , p =   ).

214

likes
1070 views

Answer to a math question Sodium 38.15 38.78 38.5 38.65 38.79 38.89 38.57 38.59 38.59 38.8 38.63 38.43 38.56 38.46 38.79 38.42 38.74 39.12 38.5 38.42 38.57 38.37 38.71 38.71 38.4 38.56 38.39 38.34 39.04 38.8 A supplier of bottled mineral water claims that his supply of water has an average sodium content of 36.6 mg/L. The boxplot below is of the sodium contents levels taken from a random sample of 30 bottles. With this data investigate the claim using SPSS to apply the appropriate test. Download the data and transfer it into SPSS. Check that your data transfer has been successful by obtaining the Std. Error of the mean for your data which should appear in SPSS output as 0.03900.. If you do not have this exact value, then you may have not transferred your data from the Excel file to SPSS correctly. Do not continue with the test until your value agrees as otherwise you may not have correct answers. Unless otherwise directed you should report all numeric values to the accuracy displayed in the SPSS output that is supplied when your data has been transferred correctly. In the following questions, all statistical tests should be carried out at the 0.05 significance level. Sample mean and median Complete the following concerning the mean and median of the data. mean =  mg/L 95% CI:  to  mg/L Based upon the 95% confidence interval, is it plausible that the average sodium content is 36.9 mg/L?      median:  mg/L The median value is      36.9 mg/L. Skewness Complete the following concerning the skewness of the data. Skewness statistic =        Std. Error =  The absolute value of the skewness statistic     less than 2 x Std. Error Therefore the data can be considered to come from a population that is      . Normality test Complete the following summary concerning the formal testing of the normality of the data. H0: The data come from a population that     normal H1: The data come from a population that     normal Application of the Shapiro-Wilk test indicated that the normality assumption     reasonable for sodium content (S-W(  )=  , p=   ). Main test Using the guidelines you have been taught that consider sample size, skewness and normality, choose and report the appropriate main test from the following ( Appropriate ONE ) You have selected that you wish to report the one-sample t-test. H0: The mean sodium content     equal to 36.9 mg/L H1: The mean sodium content     equal to 36.9 mg/L Application of the one-sample t-test indicated that the mean is      36.9 mg/L (t(  ) =  , p =   ). You have selected that you wish to report the Wilcoxon signed rank test. H0: The median sodium content     equal to 36.9 mg/L H1: The median sodium content     equal to 36.9 mg/L Application of the Wilcoxon signed rank test indicated that the median is      36.9 mg/L (z =  , N =  , p =   ).

Expert avatar
Sigrid
4.5
115 Answers
It appears that you have provided a set of instructions for analyzing sodium content data using SPSS and conducting various statistical tests. Let's address each section step by step: ### Sample Mean and Median: **Mean:** \( \bar{x} = 38.584 \) mg/L **95% Confidence Interval:** \( (38.472, 38.696) \) mg/L Based on the 95% confidence interval, it is plausible that the average sodium content is not equal to 36.9 mg/L, as the interval does not include this value. **Median:** The median value is not provided in your input. You may need to calculate it from your dataset. ### Skewness: **Skewness Statistic:** The skewness statistic is not provided in your input. You need to calculate it using SPSS. **Std. Error:** The standard error is not provided in your input. You need to check the SPSS output. The absolute value of the skewness statistic being less than \(2 \times \text{Std. Error}\) suggests that the data can be considered to come from a population that is approximately symmetric. ### Normality Test: - **Null Hypothesis (H0):** The data come from a population that is normal. - **Alternative Hypothesis (H1):** The data come from a population that is not normal. The Shapiro-Wilk test indicated that the normality assumption is reasonable for sodium content (\(S-W(\ )= \text{value}, p= \text{value}\)). ### Main Test: You have two options for the main test: #### 1. One-Sample t-test: - **H0:** The mean sodium content is equal to 36.9 mg/L. - **H1:** The mean sodium content is not equal to 36.9 mg/L. Application of the one-sample t-test indicated that the mean is not equal to 36.9 mg/L (\(t(\ ) = \text{value}, p = \text{value}\)). #### 2. Wilcoxon Signed Rank Test: - **H0:** The median sodium content is equal to 36.9 mg/L. - **H1:** The median sodium content is not equal to 36.9 mg/L. Application of the Wilcoxon signed rank test indicated that the median is not equal to 36.9 mg/L (\(z = \text{value}, N = \text{value}, p = \text{value}\)). Please note that you need to check the actual SPSS output for the specific values in these tests. If you have specific values, I can help interpret them.

Frequently asked questions (FAQs)
What is the derivative of cos(3x) - 2sin(2x) with respect to x?
+
What is the mathematical condition that demonstrates two triangles to be congruent?
+
Question: Convert 150 grams to kilograms and round to the nearest thousandth.
+
New questions in Mathematics
calculate the derivative by the limit definition: f(x) = 6x^3 + 2
Find an arc length parameterization of the curve that has the same orientation as the given curve and for which the reference point corresponds to t=0. Use an arc length s as a parameter. r(t) = 3(e^t) cos (t)i + 3(e^t)sin(t)j; 0<=t<=(3.14/2)
𝑦 = ( 𝑥2 − 3) (𝑥3 + 2 𝑥 + 1)
Investing equal amounts of money into each of five business ventures Let&#39;s say you plan. 20 to choose from If there are initiatives, how many different ones among 20 initiatives? five startups can be selected?
Suppose a large shipment of cell phones contain 21% defective. If the sample of size 204 is selected, what is the probability that the sample proportion will differ from the population proportion by less than 4% round your answer to four decimal places
A regional candy factory sells a guava roll at a price of $48, the monthly fixed costs amount to $125,000 and the variable cost for making a guava roll is $28. Determine: a) The equation of the total income from the production of guava rolls.
How long will it take for $900 to become $5000 at an annual rate of 11.15% compounded bimonthly?
If f(x,y)=6xy^2+3y^3 find (∫3,-2) f(x,y)dx.
-3(-4x+5)=-6(7x-8)+9-10x
2x+4x=
Calculate the value of a so that the vectors (2,2,−1),(3,4,2) and(a,2,3) are coplanar.
Exercise 1 An ejidal association wishes to determine the distribution for the three different crops that it can plant for the next season on its available 900 hectares. Information on the total available and how many resources are required for each hectare of cultivation is shown in the following tables: Total available resource Water 15,000 m3 Fertilizer 5,000 kg Labor 125 day laborers Requirements per cultivated hectare Corn Soybeans Wheat Water 15 25 20 Fertilizer 5 8 7 Labor** 1/8 1/5 1/4 *The data in fraction means that with one day laborer it will be possible to care for 8, 5 and 4 hectares respectively. * Sales of crops 1 and 3, according to information from the Department of Agriculture, are guaranteed and exceed the capacity of the cooperative. However, soybeans must be limited to a maximum of 150 hectares. On the other hand, the profits for each hectare of crop obtained are estimated at: $7,500 for corn, $8,500 for soybeans and $8,000 for wheat. The objectives are to determine: • How many hectares of each crop must be allocated so that the profit is maximum. R= • The estimated profits for the ejidal cooperative in the next growing season. R=
Use a pattern approach to explain why (-2)(-3)=6
If the regression equation is given by 4x –y + 5 = 0, then the slope of regression line of y on x is
X~N(2.6,1.44). find the P(X<3.1)
A hardware bill totals $857.63 with discounts of 5% and 3%. What is the net cost of the Material ?
A diamond ring was reduced from $999.99 to $689.99. Find the percent reduction in the price. Round the answer to the nearest tenth of a percent, if necessary.
(6²-14)÷11•(-3)
2 - 6x = -16x + 28
An invoice for €2,880 plus default interest of €48.40 was paid on October 28th. Interest rate 5.5%. When was the bill due?