A pharmaceutical company produces pills of dose level of 40 mg. To maintain the quality control, the average weight of all pills needs to be 40 mg and the st. dev. 0.4 mg. A sample of 25 pills yielded the sample mean of 39.5 mg. Test the hypothesis at a = 0.02 that the average weight of the pills has changed. Assume that the weights of the pills follow normal distribution. You must state the null and the alternative hypotheses.

A pharmaceutical company produces pills of dose level of 40 mg. To maintain the quality control, the average weight of all pills needs to be 40 mg and the st. dev. 0.4 mg. A sample of 25 pills yielded the sample mean of 39.5 mg. Test the hypothesis at a = 0.02 that the average weight of the pills has changed. Assume that the weights of the pills follow normal distribution. You must state the null and the alternative hypotheses.

Name: A pharmaceutical company produces pills of dose level of 40 mg. To ma
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: A pharmaceutical company produces pills of dose level of 40 mg. To maintain the quality control, the average weight of all pills needs to be 40 mg and the st. dev. 0.4 mg. A sample of 25 pills yielded the sample mean of 39.5 mg. Test the hypothesis

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Find the proportion of Normally distributed observations with a z-score above 0.80. Give your answer to four decimal places. Find the proportion of N.d. observations with a z-score between z1= -0.34 and z2= 2.72. Give your answer to four decimal places.
A diabetic person is interested in determining how the amount of aerobic exercise impacts his blood sugar. When blood sugar reaches 170 mg/dl, he goes out for a run at a pace of 10 minutes per mile. On different days, he runs different distances and measures his blood sugar after completing his run. The preferred blood sugar level is in the range of 80 to120 mg/dl. Levels that are too low or too high are extremely dangerous. The data generated are given in the following table: Distance (miles),x Blood sugar(mg/dl gram),y 2 136 2 146 2.5 131 2.5 125 3 120 3 116 3.5 104 3.5 95 4 85 4 94 4.5 83 4.5 75 Based on the scenario above, analyse the data with appropriate statistical methods and describe your findings in details. Use alpha=0.05 [note: use hypothesis, test statistics confidence interval etc.] ]
A patient is classified as having gestational diabetes if their glucose level is above 144 milligrams per deciliter (mg/dl) one hour after a sugary drink is ingested. Rebecca's doctor is concerned that she may suffer from gestational diabetes. There is variation both in the actual glucose level and in the blood test that measures the level. Rebecca's measured glucose level one hour after ingesting the sugary drink varies according to the Normal distribution with µ= 146 mg/dl and o = 4 mg/dl. What is the probability of Rebecca being diagnosed with gestational diabetes if her glucose level is measured: (a) 4 times CS Scanned with CamScanner
SHOW YOUR SOLUTION COMPLETELY. MAKE SURE YOUR FINALS ANSWERS SHOULD BE IN 4 DECIMAL PLACES.
After the pandemic hit and people were forced to spend more time indoors, there have been a suspicion among health professionals. that people are eating more and thus gaining weight. In 2018, the average weight of 192 pounds, and health experts want to know if that average weight of the American male has gone up during this pandemic. d. A sample of 50 American males yeilded a sample average weight of 195 pounds and a sample standard deviation of 14.5 pounds. What is your conclusion at the 5% level of significance? (be sure to state your conclusion in the context of this problem) e. Would your conclusion change if the level of significance were changed to 1%? Briefly explain.
What price do farmers get for their watermelon crops? In the third week of July, a random sample of 40 farming regions gave a sample mean of x = $6.88 per 100 pounds of watermelon. Assume that ? is known to be $1.92 per 100 pounds.
Español A r.able indicator of a baby's health is the weight gained in the fir year of the baby's life. Assume that the population of all such weight gains for baby boys is approximately normally distributed. A study claimed that the mean of this population is 3.454 kg. As a practicing pediatrician, you want to test this claim. So, you select a random sample of baby boys, and you record the weight each gained in their first year. Follow the steps below to construct a 95% confidence interval for the population mean of all the weight gains for baby boys in their first year. Then state whether the confidence interval you construct contradicts the study's claim. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results for your random sample. Take Sample Sample size: 0 Point estimate: 0 Sample standard deviation: 0 Critical value: 0 Enter the values of the sample size, the point estimate of the mean, the sample standard deviation, and the critical value you…
Consider a set of data in which the sample mean is 30.230.2 and the sample standard deviation is 7.87.8. Calculate the z-score given that x=31.4x=31.4. Round your answer to two decimal places.
Answer number 3 only pls.
Use the 5 step method and discuss type 1 and type 2 error. 2. A local bottler, Fossil Cove, wants to ensure that an average of 16 ounces of beer is used to fill each bottle. Ben takes a random sample of 48 bottles and finds the average weight to be 15.8 ounces Historically, the standard deviation has been 0.8 ounces. Alpha is .05.
A statistician wants to determine if there is a significant difference in the average height of male and female college students. He collects a random sample of 100 males and 100 females and calculates their heights (in cm). The sample mean height for males is 175 cm and the sample mean height for females is 165 cm. The sample standard deviation for males is 6 cm and the sample standard deviation for females is 5 cm. Conduct an independent samples t-test to determine if there is a significant difference in the average height between males and females at a significance level of 0.05.
Two chemical companies can supply a raw material. The concentration of a particular element in this material is important. The mean concentration for both suppliers is the same, but you suspect that the variability in concentration may differ for the two companies. The standard deviation of concentration in a random sample of n₁ = 10 batches produced by company 1 is s₁ = 4.7 grams per liter, and for company 2, a random sample of n₂ = 16 batches yield s₂ = 5.8 grams per liter. Is there sufficient evidence to conclude that the two populations variances differ? Use a = 0.05. a. Because 0.321 < 0.657 <3.77, fail to reject the null hypothesis b. Because 0.265 < 0.657 <3.12, fail to reject the null hypothesis c. Because 0.386 < 0.657 <3.01, fail to reject the null hypothesis d. None among the choices